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"stream": "computer-science-information-technology", - "packet": "2024-M", - "year": "2024", - "type": "MCQ", - "key": "(A)", - "question_text": "Question 42 \n \n \n \n[Algorithm (Complexity Analysis)]\n \n \nConsider the following recurrence relation :\n\uf028\n\uf029\nfor\n1,\n( )\n\uf0ec\n\uf02b\n\uf0b3\n\uf0ef\n\uf03d\uf0ed\nnT\nn\nn\nn\nT n\n\n\uf03d\n\uf0ef\uf0ee\n1\nfor\n1\nn\nWhich one of the following options is CORRECT ?\n(A) \n\uf028\uf029\n\uf028\n\uf029\nloglog\nT n\nn\nn\n\uf03d\uf051\n \n(B) \n\uf028\uf029\n\uf028\n\uf029\nlog\nT n\nn\nn\n\uf03d\uf051\n(C) \n\uf028\uf029\n\uf028\n\uf029\n2\n log\nT n\nn\nn\n\uf03d\uf051\n \n(D) \n\uf028\uf029\n\uf028\n\uf029\n2\n loglog\nT n\nn\nn\n\uf03d\uf051", - "answer_text": "(A)", - "explanation_text": "Sol. \n \n( )\n(\n)\nT n\nnT\nn\nn\n\uf03d\n\uf02b\n2\nm\nn\n\uf03d\nm\nm\nm\nm\nT\nT\n\uf03d\n\uf02b\n2\n2\n(2 )\n2 . (2 )\n2\nm\nm\nm\nm\nm\nm\nT\nT\nT\nS m\nT\n\uf03d\n\uf03d\n(2 )\n(2 )\n(2 )\n= Let\n( )\n2\n2\n(2 )\n2\n\n2\n( )\n(\n) 1\n2\nm\nS m\nS\n\uf03d\n\uf02b\n(2 )\n2 log\nm\nm\nT\nm\n\uf03d\n( )\nloglog\nT n\nn\nn\n\uf03d\nHence, the correct option is (A)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:0e158a877cfa3e9fc3b418e514704886c3ee95eadbb3d370ce09935657b2c55c +size 1161 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/42/exp.webp b/frontend/public/assets/gate/cs/questions/2024-M/42/exp.webp index 9cbc50583d99782644956c24bfc533d00eaa5996..df5d1bfd48d94df409315926dde7e0f5d24492a1 100644 GIT binary patch literal 129 zcmWN?NfN>!5CzbEPQe8X$ei4U;kQtwlCnt_o?hSPUHEVxZ_(yFc$f0g=j}bq z%XmpXP~>%AMz4Zf($4S7SyfFW($RTMA)_eNgpIt-K(Yar94J7?7!4&057I{^#n;;y=Ekc%KyTDi~Y<00q6buKjufczmtD`{}=r4_K)ZX_^L-}aA$y`$yfs%v2CVoOqyFH>JEEJwo(IO%PYlo1q_1nF9v zCzv^lQ&CTa(Y`@*il+UrT+4*tEn)HwGeYAIR;yzge;_kh{x>3B_sOSQ8?qEIVQv## 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qhG_(q%+K^ejh1{Zd;+~5r4awSU$tWgOe1GClR(MAr~yQ^ga80;!+LZ8 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/43/data.json b/frontend/public/assets/gate/cs/questions/2024-M/43/data.json index c2264c4..f917131 100644 --- a/frontend/public/assets/gate/cs/questions/2024-M/43/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-M/43/data.json @@ -1,11 +1,3 @@ -{ - "id": "43", - "stream": "computer-science-information-technology", - "packet": "2024-M", - "year": "2024", - "type": "MCQ", - "key": "", - "question_text": "Question 43 \n \n \n \n \n \n[Data Structure (Tree)]\n \n \nConsider a binary min-heap containing 105 distinct elements. Let k be the index (in the underlying array) \nof the maximum element stored in the heap. The number of possible values of k is \n \n(A) 53 \n(B) 52 \n \n(C) 27 \n(D) 1 \nAns. \n(A)\n \nSol. \nA binary heap is a complete binary tree.\nA binary min - heap satisfies min - heap properly this implies that the maximum element can be in the \n \nleaves only.\n\nPAGE\n35\n\nn\n\uf0ea\uf0fa\n\uf0ea\uf0fa\n\uf0eb\uf0fb\nn\n\uf0e9\uf0f9\n\uf0ea\uf0fa\n\uf0ea\uf0fa\nIn binary min heap of \nn \nelements exactly \n2\ninternal node and \n2\nleaf nodes.\nNo. of internal nodes in 105 element \n105\nheap\n52\n2\n\uf0ea\n\uf0fa\n\uf03d\n\uf03d\n\uf0ea\n\uf0fa\n\uf0eb\n\uf0fb\n\nNo. of leaves \n105\n52\n53\n\uf03d\n\uf02d\n\uf03d\nHence, the correct option is (A).", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:35636db5b3e3f97930b213d7063d8d7a70df80e5835c763bcbf1b9d52c0017ec +size 1097 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/43/q.webp 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Apply augmentation rule with X on \nw\ny\n\uf0ae\nThen apply transitivity rule to get X, \nw\nz\n\uf0ae\n(D) Definition of Transitivity rule for function dependencies.\nHence, the correct option is (B), (C) and (D).", - "question_text": "Question 44 \n \n \n[Database (Database Design Functional)]\n \n \nThe symbol \n\uf0ae\n indicates functional dependency in the context of a relational database. Which of the \nfollowing options is/are TRUE ?\n(A) \n\uf028\n\uf029\n(\n, )\n( ,\n)implies\n,\nX Y\nZ W\nX\nZ W\n\uf0ae\n\uf0ae\n(B) \n(\n, )\n( ,\n)implies (\n, )\nX Y\nZ W\nX Y\nZ\n\uf0ae\n\uf0ae\n(C) \n\uf028\n\uf029\n(\n, )\nand\nimplies (\n,\n)\nX Y\nZ\nW\nY\nX W\nZ\n\uf0ae\n\uf0ae\n\uf0ae\n(D) \n\uf028\n\uf029\nand\nimplies\nX\nY\nY\nZ\nX\nZ\n\uf0ae\n\uf0ae\n\uf0ae", - "answer_text": "(B,C,D) \nSol. \n(B) Decomposition rule of functional dependent\n(C) Apply augmentation rule with X on \nw\ny\n\uf0ae\nThen apply transitivity rule to get X, \nw\nz\n\uf0ae\n(D) Definition of Transitivity rule for function dependencies.\nHence, the correct option is (B), (C) and (D).", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:80643398f11f51cd074f7cf1aec3315654642a7147cc7411ef01011f985dd19d +size 1323 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/44/q.webp b/frontend/public/assets/gate/cs/questions/2024-M/44/q.webp 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"id": "45", - "stream": "computer-science-information-technology", - "packet": "2024-M", - "year": "2024", - "type": "MCQ", - "key": "", - "question_text": "Question 45 \n \n \n \n \n[Data Structure (Graph)]\n \n \nLet \nG\n be a directed graph and \nT\n a depth first search (DFS) spanning tree in \nG\n that is rooted at a vertex\nv\n . Suppose \nT\n is also a breadth first search (BFS) tree in \nG\n , rooted at \nv\n . Which of the following \nstatements is/are TRUE for every such graph \nG\n and tree \nT\n ? \n \n(A) There are no back-edges in \nG\n with respect to the tree \nT\n \n \n(B) There are no cross-edges in \nG\n with respect to the tree \nT\n \n \n(C) There are no forward-edges in \nG\n with respect to the tree \nT\n \n \n(D) The only edges in \nG\n are the edges in \nT\n \nAns. \n(C) \n \nSol.\n\nPAGE\n36\n\nA\nE\nB\nC\nD\n\n\nB.F.S\nD.F.S\nA\nA\nB\nB\nE\nE\nD\nD\nC\nC\n\n\nBack edge possible\nCross edge possible\nAll edge of G not in T. Forward edge can\u2019t be there else at would not give same BFS and DFS.\nHence, the correct option is (C).", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:1c1379634e57a721b8705188f8f0edc9fa646737b9c6305693644ca05f837218 +size 1143 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/45/q.webp b/frontend/public/assets/gate/cs/questions/2024-M/45/q.webp index b0f51ff8dde260cfc8f8b38bf623da48b47a90e3..1ce621d3cd2c76bd772158aed437740e1846c981 100644 GIT binary patch literal 130 zcmWN?K@!3s3;@78uiyg~3WPv^(~=;}sB{eW;OliSd+}TPcKkjTNjQ{`u literal 36082 zcmYg$W0WSr+GN|dZQHhO+qP}n?rGb$J#Bm1J#FjVx!>LI?AEV3m2t8%BO~HeRz51y z5)zkjKtP(}B1#%cTts{S?wPiM^MPs1K(;{yl*tk$NQ;Y!$x^zNoM52M9o{6Qx=#oZ zL&zGR!I}eIcQI){V4n&10Um-?pPL(i;Xvc>s_&~a&UgPk_tz{!M!@FJ`@8w0=~u_s z!UN!_AMGat5dMDk1pcuN&|HpPjl8j}bld=Z2_EwA2yOtz0l_yNABCR_ABByC#Dp^g z^FAwqlP~H3-k;Zv$oI21#7}~G!52a6AB@2I!0zuVK~=>|4h@;P1djpmSi?m!t352jKqu zO(*k{@qOULKiFUOz3?6J8gLkR8<_aA_$+uwcmS{n4E)jfD*UK;WxUyMAJ`oL`~U^w z{+NF6fBpl%6z&fI0tY{4J|{jF?gHciMgYp6p09=z!41s&{j-7Nz#c#r!2gF70QgiK z+20R503-oK0fk?YfPWWiAl=Ue0P>6RL-6|__}`On&>!J%&~L+6$A`jCz-%A@@cL>D zNZg^kUjG6t07@O#7Cs0I0Z-Djm6CBSW`Yl{a3Z!xr+jDYR)js3BG=AQ0^!7C-$La3Z@ypc{S21b!mn#?#*Luq4e_2d9 zwmN~H;@c@2X8!!ub0Gox!r0>ZZRqINTi=&!-dtF5a!QnPwcX>n4CfSmS;ZYr9|LKv z*;t5B=HWcVPxi2gi0IWfGe?h0QDCddlq>M+V*XHkA;OeeMkOAD+KT_xQWgF@pf{kh zN~){lbQ9_rJSTFrF*Mv|RPLp~h?wW}r}d*8{5VByYHm)c6{@WtF1_K8To_qa6*hN4YbaTkZ#!(@g76;FXhe>@hUt6)4z&P7u6IJqCtc2P9DV>#5)LHPh zfJ{<;>JFi5+JxkoVmz)U{x{TXD30Z-bG;s9O5}u%1e#4 z9EI%_F*iR(%Hs)lMSExiR_|eP5iPnwH|5$Pu65?C%8l`QaX4RVM{(If3LP9q0*v4itU4uKJ69(q&FshGo zMS;3wT^xPrfnup}qu|e>+Yw(*7A-jQ5#1#Rh;UOSw1gp24;6wngD^>vv3^Q)(B;#r z!koYnCtshL&5uOHt9nMig+IA7tY`1armr2bT}c;CaVma=?R|moyT~Vy-@|g%A_2UITzie^fc69oT-&%_&(?l z$I%7fD}UwVF2bX5l@ClKdTJL{NGiKi3;4Uuo;s)qLGH8~Ce5ht!UuMxxcaL}wWLhb zsl?sv_Tkp}uHW5|cW0G`HLHTlU^=ftU>GHnVJ?=NtfH_y?L@AhZu4`Csiad5jNs3J7H$FI@(8!;jVOV<_?$n&iLL%sA@3+&8521|d6xNs^84O~{TlJVkGwp;{OyT3Hn8biy)&Tyf^ zDcXl8Q^j&uxPTExjZkt?{VUT7-_}w_$0(XjIx%YwUg&}Xw);bJOv$NYbWo$1w*a;7FAq2hHPl9HUF7+Q&GOt98qN; zmNgCOyUL-OtqMMR8P5aZeM@f*m3y!XR00RS(F6lri>SWZcTl}8VN1AcR>`zKxML_5 zl!SGovBa&6@9d~TEwg0q$FgL!slI2urG>$zRI@c{(4qXCOOX3=&a7l=zgb%w@d=Xz z8Wol!vc=lckB_yuEAN;9liK1iJj@};?t}cHGpZgsy$yjA&lVP$|85q)RvNgKhA@My z!Ga(hR}(FGAg)F9tg<0xet@!xAaypOi0M)@S|?0WgFv`g+PpzAHOZ= zl%Bc=B{tYW!udu8NW9pO4h1K`2u#4@w41!zAMCEr?NtvAM_leMkL-vdPX=ch`#1|L z#8TuE{nb&ba--t4Acg@#XYa-7Kr)@fs<@tPA(B>{5c$8?Fq4<`j|6INsOASYZ+bsa zpBZ74p#KT4bZ?rwBvNzUDRsyfA{OtW*ao8*5>du-)jEQAOeMIDH z8-$fABsR)kN&7CybNY56ncV*fGwdnZxj^!N; z1#WgDLlQJd|3B&-pdD1IhYZ)W#@e5{wu_Ya`>!#qDPE=;|0`ZGSid=FS38AQnZ{Bq zPwq8r&*2gzn5msKao`}G{~CyE%MkrZ6YA-|ehPbZ=4I_2q^10S4*BP`3st4EMWFw7 zX_&tAf1Q?3V}sWHZ~R?BlT~$bevSPn@RQ{on>CO87hb)?)amWUObv`v6e+W{wc7vj z?5ws$`56r{P_6MVWo%;_U~gw!Kj`E)_$&%Pky8`Uo!Eer928TG5IxXaYy+_WbW9Zk z`d?a{e@LcGhcwHimtM|>HJYE8aHY%KynnZPVI_|$j5kJAX&c6)Q5Yp(f)7;w3Il2O zWGZl=wD8RON0(t7z+vq-5;5Y2Pg2C@rT7K(Oq#=#tE_E;^8(t?w!o-w!GC9z^t z7yhFRWVf6^-O=t4U zM;U9}^nc_la-z2I&i-I>3_C%cfYfW%YqdBaJbC(VeDB*j643LpUF_31$2)L7mRF9SW=%FN7izdnLQuaOkbg^6&JM19ea=;!s4s+Sj=MGpR7 z)~fQF=r-QBd)D1#o*Yjrr$6F2(xSE)RXkYP6?b8|3RT8-^Pf{GXCp_wE1*a~D;$RU zJXvN>I2MUVE+`dGJ>dJ>jTOsN9PM(!F>tsX700Vem)uKRN}X`*_DqXJq3x60%m53$ z5Py46vXLn0>TWHaaBTa-c7rAJDRobcYt0O>@pvg+p-+!IEZyr;*!g0`H>QE)fUC~i z#abf6oE8$3u%omWXu|V@ra~DGYI6(JZUP)fzFh^@gy>>!7Nm9F8q5Sp2_W&Pr07LOih$lV^P}m~ zy`*MuRI>k?;&HaJ>q>P5DabA-YM9Q2C{?s4$A}*fU~*;?cvrK9%2m*=+5M1+onrEF z3GK0{By_ecFMDU3stU*%C=%yxiUf6Xq`|jszU0Qq7aogM?Cei2!bmQts*7$nv|pm? 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For any string\n\uf028\n\uf029\n*\n0\n1\nw\n\uf0ce\n\uf02b\n let \n0\n( )\nn w\n be the number of \n0'\ns\n in \nw\n and \n1\n( )\nn w\n be the number of \n1'\ns\n in \nw\n.\nWhich of the following statements is/are FALSE ? \n \n(A) States 2 and 4 are distinguishable in \nM\n \n \n \n(B) States 3 and 4 are distinguishable in \nM\n\nPAGE\n40\n\n(C) States 2 and 5 are distinguishable in \nM\n(D) Any string \nw\n with \n0\n1\n( )\n( )\nn w\nn w\n\uf03d\n is in \n\uf028\n\uf029\nL M", - "answer_text": "(B,C) \nSol.\n \nMinimized DFA\n0\n1\n2\n1\n1\n1\n0\n0\n4\n\nFrom minimized DFA we can conclude B and C are False.\nHence, the correct option is (B) and (C).", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:4ad5b69c4792927cda3e68a1ff2fb4038661b15256a47d2f5294a84ab8875d91 +size 1213 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/50/q.webp b/frontend/public/assets/gate/cs/questions/2024-M/50/q.webp index 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"packet": "2024-M", - "year": "2024", - "type": "MCQ", - "key": "", - "question_text": "Question 53 \n[Computer Organization & Architecture (Memory Organization)]\n \n \nConsider two set-associative cache memory architectures: WBC, which uses the write back policy, and \nWTC, which uses the write through policy. Both of them use the LRU (Least Recently Used) block \nreplacement policy. The cache memory is connected to the main memory. Which of the following \nstatements is/are TRUE ? \n \n(A) A read miss in WBC never evicts a dirty block \n \n(B) A read miss in WTC never triggers a write back operation of a cache block to main memory \n \n(C) A write hit in WBC can modify the value of the dirty bit of a cache block \n \n(D) A write miss in WTC always writes the victim cache block to main memory before loading the\nmissed block to the cache \nAns. \n(B,C)", - "answer_text": "", - "explanation_text": "Sol.\n \nIn write through policy , data is we never need to perform a \u201cwrite back\u201d operation to remove any entry \nfrom the cache block.\nHence, the correct option is (B) and (C)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:a8025016434f796dc5209d15236e21fbdfdbe003b5db395f35cc0f7e646b0740 +size 1217 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/53/exp.webp b/frontend/public/assets/gate/cs/questions/2024-M/53/exp.webp index 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index d58427f..cbe0f3d 100644 --- a/frontend/public/assets/gate/cs/questions/2024-M/56/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-M/56/data.json @@ -1,11 +1,3 @@ -{ - "id": "56", - "stream": "computer-science-information-technology", - "packet": "2024-M", - "year": "2024", - "type": "MCQ", - "key": "", - "question_text": "Question 56 \n[Computer Organization & Architecture (Memory Organization)]\n \n \nA given program has 25% load/store instructions. Suppose the ideal CPI (cycles per instruction) without \nany memory stalls is 2. The program exhibits 2% miss rate on instruction cache and 8% miss rate on data \ncache. The miss penalty is 100 cycles. The speedup (rounded off to two decimal places) achieved with a \nperfect cache (i.e., with NO data or instruction cache misses) is __________. \nAns. \n(3.00 to 3.00) \nSol.\n \nLet\u2019s assume there are 100 instructions.\n\nPAGE\n43\n\nSo we have 100 fetches for 100 instructions, this will come from instruction cache.\n25% that is 25 instructions are Data fetch/store instructions \u2013 come from data cache\nSo in total 100 fetches we will have 2% i.e., 2 misses \u2013 200 cycles penality.\nFrom the data stream, 8% i.e., 2 misses \u2013 200 cycles penality.\nTotal cycles taken to execute 100 instructions is \n100 2\n200\n200\n600cycles\n\uf02a\uf02b\n\uf02b\n\uf03d\nCPI\n600 /100\n6\n\uf03d\n\uf03d\nIn a perfect caching solution we have 0 misses and hence the CPI will be default i.e., 2 CPI.\nSpeedup achieved \n6 / 2\n3\n\uf03d\n\uf03d\nHence, the correct answer is 3.", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version 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Assume that the code \ncompiles and runs correctly, and that the system calls run successfully without any errors. \n \nint\n3;\nx\n \uf03d\nwhile (\n0) {\nx\n \uf03e\nfork();\nprintf(\"hello\");\nwait(NULL);\n \n \n \n;\nx\n \uf02d\uf02d\n}\nThe total number of times the printf statement is executed is ________. \nAns. \n(14 to 14)\n \nSol.\n \nEach iteration doubles the number of processes. Initially, one process print \u201chello\u201d. The loop iterates \nthree times, resulting \n3\n2\n8\n\uf03d\n processes. Additionally, two processes from the previous iteration wait for \neach other before proceeding. Thus, the total count is \n8\n4\n2\n14\n\uf02b\n\uf02b\n\uf03d\n\u201dhello\u201d messages printed before the \nloop terminates.\n\n\nPAGE\n44\n\n1\nP\n3\nx\n \uf03d\n2\nx\n \uf03d\n2\nx\n \uf03d\nHello\nHello\n1\nP\n1\nC\nHello\nHello\nHello\nHello\n1\nP\n1\nC\n2\nC\n3\nC\n1\nx\n \uf03d\n1\nx\n \uf03d\n1\nx\n \uf03d\n1\nx\n \uf03d\nHello\nHello Hello\nHello\nHello\nHello\nHello\nHello\n1\nP\n4\nC\n2\nC\n5\nC\n1\nC\n6\nC\n3\nC\n7\nC\n0\nx\n \uf03d\n0\nx\n \uf03d\n0\nx\n \uf03d\n0\nx\n \uf03d\n0\nx\n \uf03d\n0\nx\n \uf03d\n0\nx\n \uf03d\n0\nx\n \uf03d\n\nTotal number of times print (Hello) statement is executed\n2\n4\n8\n14\n\uf02b\n\uf02b\n\uf03d\nHence, the correct answer is 14.", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:ea197f97286eda8ae268035645bd31e1c83df3de690edcd279b44cbc5796172c +size 1667 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/57/q.webp 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- "key": "", - "question_text": "Question 58 \n \n \n[Computer Network (Network Layer)]\n \n \nConsider the entries shown below in the forwarding table of an IP router. Each entry consists of an IP \nprefix and the corresponding next hop router for packets whose destination IP address matches the prefix. \nThe notation \u201c/N\u201d in a prefix indicates a subnet mask with the most significant N bits set to 1.\nPrefix\n \nNext hop router\n \n10.1.1.0/24 \nR1\n10.1.1.128/25 \nR2\n10.1.1.64/26 \nR3\n10.1.1.192/26 \nR4\nThis router forwards 20 packets each to 5 hosts. The IP addresses of the hosts are 10.1.1.16, 10.1.1.72, \n10.1.1.132, 10.1.1.191, and 10.1.1.205. The number of packets forwarded via the next hop router R2 is \n_________. \nAns. \n(40 to 40)", - "answer_text": "", - "explanation_text": "Sol.\n \n:\n Method 1 \n:\nHost 1 : IP : 10. 1.1.16\nNet ID when masked with 25 bit netmask \n10.1.1.0\n\uf03d\nPacket to host is not forwarded via R\n2\n.\n(i)\n \nHost 2 : IP : 10.1.1.72\nNet ID with 25 bit netmask \n10.1.1.0\n\uf03d\nPacket to host 2 is not forwarded via R\n2\n.\n\nPAGE\n45\n\n(ii)\n \n Host 3 : IP : 10.1.1.132\nNet ID when masked with 25 bit\nNetmask \n10.1.1.128\n\uf03d\nNet ID when masked with 26 bit netmask \n10.1.1.128\n\uf03d\nPacket to Host 3 is forwarded via R\n2\n.\n(iii)Host 4 : IP : 10.1.1.191\nNet ID when masked with 25 bit netmask \n10.1.1.128\n\uf03d\nNet ID when masked with 26 bit netmask \n10.1.1.128\n\uf03d\nPackets to test 4 is forwarded via R\n2\n.\n(iv)\n \nHost 5 IP : 10.1.1.128\nNet ID when masked with 25 bit netmask \n10.1.1.128\n\uf03d\nNet ID when masked with 26 bit netmask \n10.1.1.192\n\uf03d\nPacket to host 5 is forwarded via R\n4\n.\nRouter will choose more specific option over generic.\n[20 packet host 3 to 20 packet host 5]\n\uf0de\n 40 packet.\nHence, the correct option is 40.\n:\n Method 2 \n:\nRange of all subnetwork in forwarding tables\nSubnet \nRange \nNext Hop Router \n10.1.1.0/24 \n10.1.1.0-10.1.1.255 \n1\nR\n \n10.1.1.128/25 \n10.1.1.128-10.1.1.255 \n2\nR\n \n10.1.1.64/26 \n10.1.1.64-10.1.1.127 \n3\nR\n \n10.1.1.192/26 \n10.1.1.192-10.1.1.255 \n4\nR\nHost (10.1.1.16) it lies in the Range of subnet numbered 1 so it will pass through Router \n1\nR\nFor Host (10.1.1.72) it lies in the Range of subnet numbered \n1\n3\n(\n and \n)\nR\nR\nBut since prefix length of subnet\n3\nR\n (26) is greater than subnet \n1\nR\n (24) the Host ip address will pass through Router \n3\n.\nR\n\nPAGE\n46\n\nFor Host (10.1.1.132) it lies in the Range of subnet numbered \n1\n2\n(\n and \n)\nR\nR\nBut since prefix length of subnet\n2\nR\n (25) is greater than subnet \n1\nR\n (24) the Host ip address will pass through Router \n2\n.\nR\nSimilarly for Host (10.1.1.191) it will pass through Router \n2\nR\n and for Host (10.1.1.205) it will pass\nthrough Router \n4\n.\nR\nTotal Number of Packets Transmitted through \n2\nR\n20\n20\n40 Packets.\n\uf02b\n\uf03d" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:37bc908267624287ea60035cdf3934582ecb739aaaf294c0005d96543828d0f3 +size 3075 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/58/exp.webp b/frontend/public/assets/gate/cs/questions/2024-M/58/exp.webp index 5599c281143d0d446d40e4433e6b0710e3d41954..29c2268b5da65cc49d4186cd1286227f6b72806f 100644 GIT binary patch literal 130 zcmWN?K@!3s3;@7;U%>|~&<4WvHz5RJMx|r02Vbvy*-PHq$IG-iPd%)?_j!9%UH`XF zUU@vNp2GI>%jm^uqbxD)IiIRkCD LX#a{q7XX$YIbA5( literal 70544 zcmXV%QlYQ(QzzLy3#X_usS9BS8tMfZf8Igp!&P-RPjy!=eaxuz!WeHfP9yH4E_%I z+I=u+1yBdb0hR%%pMWRukB*<$ukg3obwDiQhJj~5+fHGhA>bZR4;TOdj>o>szXYH9 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(iv) for \n \n(B) (i) on (ii) down (iii) for (iv) on \n \n(C) (i) down (ii) out (iii) for (iv) on \n \n(D) (i) on (ii) out (iii) on (iv) for \nAns. \n(C)\n \nSol.\n \nSteve was advised to keep his head (i) down before heading (ii) out to bat. While he had a head (iii) for \nbatting, he could only do so with a cool head (iv) on his shoulders. 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a/frontend/public/assets/gate/cs/questions/2024-M/60/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-M/60/data.json @@ -1,11 +1,3 @@ -{ - "id": "60", - "stream": "computer-science-information-technology", - "packet": "2024-M", - "year": "2024", - "type": "MCQ", - "key": "", - "question_text": "Question 60 \n \n \n \n \n[Data Structure (Graph)]\n \n \nThe number of edges present in the forest generated by the DFS traversal of an undirected graph \nG\n with \n100 vertices is 40. The number of connected components in \nG\n is _________. \nAns. \n(60 to 60) \nSol.\n \nGiven a forest has 100 vertices and 40 edge.\nA tree with 100 vertices has (\nn\n - 1) edges.\n(100 1)\n99\n\uf02d\n\uf03d\n edges\nTo convert forest into tree, number of edges that should be added\n= (No. of components \u2013 1)\nLet number of components be \nx\n.\n\uf0de\n \n \n40\n(\n1)\n99\nx\n\uf02b\n\uf02d\n\uf03d\n\uf0de\n \n \n60\nx\n \uf03d\nHence, the correct answer is 60.", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:48d757274aebc0eece697148571a8a60d48a660261b6db00901f1db1eabab835 +size 877 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/60/q.webp b/frontend/public/assets/gate/cs/questions/2024-M/60/q.webp index 7e685389aac439da1f48b98cbaa7573767e9176b..e3546f8491778bf01a629a7ad053ac9807ec4637 100644 GIT binary patch literal 130 zcmWN{yAi`63;@vHQ?NkH0YV^e!$%I>CBYYA7nwe;Uh^*gN*^E9<~(H6`q}5>waa?j z&b*fK)^c#smsv)yN?NiWH!hW&AqRyMdjKXxtY8CJ6FK@AYc?24c6-2lFXxegBZXuG N5iQbxtPFy;%OBtpCky}p literal 16452 zcmV()K;OSoNk&FIKmY(&MM6+kP&gnkKmY&`-T<8eDr5o<0X|VAk42-RAri?&bT|bB zv$u7y8Joz|0eJS1*)jRI@Sm9;*SxpeKb^H#zBd|qlXFMQr^}D_fAal|{*V7v?g#qk z_@UVs_XE@)>-YQL?w;@e?|;(!CH}+e5B*R4&#f=~?_=NDk6;hg-%ZciZ-l?>f9ro~ zegeN?|Lpq!dH{7N^@sZB^*`CafBy~r6Z(haKlgu5e-!z5>EDr`+JA1oB!6h~1?FGN z|FQHh_?OpDyMJE)5B}Ht=kDjn|Khwa{FC-y@L$_Mw*QU(zw!(Cr}2O7pVz-_|G4}W zd=L80?TthHx1blN-!A_T{hR!s{a^2%&R&uIllq_b@AW^}KmYvK`3LlW>p$4PV}HE= z|NH^|EBu%HNA{1}@9)3={zv|?{rmfelGoJ#ynmVh3;5&q1N>L{XZSzuKi@y!e~SPA z|0nSC_h0ru;6Kd%(0fGum-|=y&+wn)|6{(uzmNYo|4049{CEEk@?Zb|{r$;*;P&VH z3;$=_!}Xi~zvut`qRO{ow}8==cZEK|;*2`;h04t`u&%?gWKg8uW+yk%ddkxqj-orH}<6ispJS=kLJ*;}Bm*1-~on)p}6> zoDY-{5Ed`EqWvKqb#Lbw@F5Y@ zP^Eg`wU;j%|LLwjbYMzAguB18B`&4oUHzMA{>Y}+r!|?@Q+@ch7wpW+e-P5xX-V_H z;Dl!Dra|=03>c+%oBSUx^MUoq{JZ&9UF``bsz@2*v&z9IJt7<#QnN2yAXRkJ27jN7 zLHt?!QdyP`0R|lvag&MAz40{vgOaDUwSJPH<;l4P;~-|hYiM{I@3smcDU~Gy{;u~| zz`dC+#nLs;Wo&lWQ@wnuSGT9gvY^d87;5lPu~z94Xur0eKT%? 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Two balls are drawn randomly without replacement. Given \nthat the first ball drawn is red, the probability (rounded off to 3 decimal places) that both balls drawn are \nred is ___________. \n \n[Engineering Mathematics, Probability]\n(2 Marks)\n \nAns. \n0.370 to 0.380 \nSol.\n \nGiven : \nA bag contains 10 red balls and 15 blue balls. Two balls are drawn randomly without replacement.\nBy using Tree diagram :\n2\nR\n9\n24\n1\nR\n10\n25\n15\n10R\n24\n2\nB\n\uf02b\n2\nR\n15B\n10\n15\n25\n24\n1\nB\n14\n24\n2\nB\nNOTE : \nIn case of Independent events, condition has no significance. we can directly find the probability\n9\n9\n3\n24\n8\nC\nC\n\uf03d\n\uf03d\n\uf03d\nP \n(Red Ball in 2\nnd\n drawn)\n1\n24\n1\nP \n(Red Ball in 2\nnd\n drawn) \n0.375\n\uf03d\nHence, the probability that both balls are red given first ball is red is 0.375.\n\nPAGE\n49\n\nMethod 2 :\n2 Red\n9\n( )\n24\nP E\n\uf0e6\n\uf0f6\n\uf03d\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\nBall Drawn\nnd\nst\n1 Red\n10 R\n15 B\n10\n(\n)\n25\nP E\n\uf0e6\n\uf0f6\n\uf03d\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\nBall Drawn\n2 Blue\nnd\nBall Drawn\n15\n( )\n24\nP E\n\uf0e6\n\uf0f6\n\uf03d\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n\n\uf0e6\n\uf0f6\n\uf0b4\n\uf0e7\n\uf0f7\n\uf03d\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0b4\n\uf02b\n\uf0b4\n\uf0e8\n\uf0f8\n10\n9\n25\n24\n(Both Red)\n10\n9\n10\n15\n25\n24\n25\n24\n\n\nP\n90\n9\n(Both Red)\n90 150\n24\nP\n\uf0e6\n\uf0f6\n\uf03d\n\uf03d\n\uf0e7\n\uf0f7\n\uf02b\n\uf0e8\n\uf0f8\n\n(BothRed)\n0.375\nP\n\uf03d\nHence, the correct answer is 0.375.", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:0dac0f69518b313caa68cf05a18200bad92813162322c09f9639b71ddab0bb9c +size 1808 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/63/q.webp b/frontend/public/assets/gate/cs/questions/2024-M/63/q.webp index 491c853d9722e34a7790631e1eeb51f2c1a0430f..2f08b5e61367148edea3d35ac683c70100c7eefc 100644 GIT binary patch literal 130 zcmWN?K@!3s3;@78uiyigLV!SjQvwlYR63^i;OliSd$qTW`O^J757~^lkMs6mS^oD= zS!h0u9F5Fn)f`nz-(85?icDm|xk9-ChKf+voqhC(E+ik>0aD;hxfTn>=M+=mT7Vi^ Nj7rA0X%ESI^#k2?Cr$tW literal 43814 zcmV)aK&rn|Nk&EY1L^P=&fnx;c+0#Q{tK7G$xoR-=0D|o8~rW+AKVx9C;h+NkHz2Y&%AHlUr>M4f589G 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b/frontend/public/assets/gate/cs/questions/2024-M/64/data.json @@ -1,11 +1,3 @@ -{ - "id": "64", - "stream": "computer-science-information-technology", - "packet": "2024-M", - "year": "2024", - "type": "MCQ", - "key": "(4 to 4) \nSol.\nX\n1\n0\nX\n2\n1\nP\nY\nA\nQ\nX\n3\n0\nC\nX\n4\n1\n\nB\nHere,\n1\n1\nX\n \uf03d\n2\n1\nX\n \uf03d\n3\n0\nX\n \uf03d\n4\n0\nX\n \uf03d\n1\n2\n1\nP\nAX\nAX\nA\nA\n\uf03d\n\uf02b\n\uf03d\n\uf02b\n\uf03d\n3\n4\n0\n0\n0\nQ\nBX\nBX\n\uf03d\n\uf02b\n\uf03d\n\uf02b\n\uf03d\n\uf05c\n \nY\nCP\nCQ\nC\n\uf03d\n\uf02b\n\uf03d\n\uf05c\n \n\uf028\n\uf029\n\uf028\n\uf029\nY\nA\nA\nB\nB C\n\uf03d\n\uf02b\n\uf02b\nABC\nABC\nABC\nABC\n\uf03d\n\uf02b\n\uf02b\n\uf02b\n\uf05c\n \n4 combination of \n( , , )\nA B C\n make \n1\nY\n \uf03d\nHence, the correct answer is 4.", - "question_text": "Question 64 \n \n \n[Digital Logic (Combinational Circuit)]\n \n \nConsider a digital logic circuit consisting of three 2-to-1 multiplexers \n1,\n2,\nM\nM\n and \n3\nM\n as shown below. \n1\nX\n and \n2\nX\n are inputs of \n1,\n3\nM\nX\n and \n4\nX\nare inputs of \n2\nM\n. \n, ,\nA B\n and \nC\n are select lines of \n1,\n2,\nM\nM\nand \n3\nM\n , respectively.\nFor an instance of inputs \n1 1,\n2\n1,\n3\n0,\nX\nX\nX\n\uf03d\n\uf03d\n\uf03d\n and \n4\n0\nX\n\uf03d\n, the number of combinations of \n, ,\nA B C\nthat give the output \n1\nY\n \uf03d\n is ________.\n\nPAGE\n50\n", - "answer_text": "(4 to 4) \nSol.\nX\n1\n0\nX\n2\n1\nP\nY\nA\nQ\nX\n3\n0\nC\nX\n4\n1\n\nB\nHere,\n1\n1\nX\n \uf03d\n2\n1\nX\n \uf03d\n3\n0\nX\n \uf03d\n4\n0\nX\n \uf03d\n1\n2\n1\nP\nAX\nAX\nA\nA\n\uf03d\n\uf02b\n\uf03d\n\uf02b\n\uf03d\n3\n4\n0\n0\n0\nQ\nBX\nBX\n\uf03d\n\uf02b\n\uf03d\n\uf02b\n\uf03d\n\uf05c\n \nY\nCP\nCQ\nC\n\uf03d\n\uf02b\n\uf03d\n\uf05c\n \n\uf028\n\uf029\n\uf028\n\uf029\nY\nA\nA\nB\nB C\n\uf03d\n\uf02b\n\uf02b\nABC\nABC\nABC\nABC\n\uf03d\n\uf02b\n\uf02b\n\uf02b\n\uf05c\n \n4 combination of \n( , , )\nA B C\n make \n1\nY\n \uf03d\nHence, the correct answer is 4.", - 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The first link (sender to router) has an MTU \n(Maximum Transmission Unit) size of 542 bytes, while the second link (router to receiver) has an MTU \nsize of 360 bytes. The number of fragments that would be delivered at the receiver is _________. \nAns. \n(6 to 6)\n \nSol.\n\nPAGE\n51\n\nIP datagram\n20\n1400\n1420 bytes\n\n\nA\nB\nMTU = 360 bytes\nMTU = 542 bytes\nRouter\n\n\nmaxdata\n360\n20\n340B\n\uf02d\n\uf03d\nHeader\nmaxdata\n542\n20\n522 B\n\uf02d\n\uf03d\nSince data must be multiple of 8 \n \n \nSince data must be multiple of 8\n\uf05c\n 520 Byte = \n(8 65)\n\uf0b4\n \n \n \n\uf05c\n Max. data \n336Byte=(8 42)\n\uf03d\n\uf0b4\nFragmentation of 1400 B of data will be,\n1\n1\n2\n20\n336\n20\n520\n1\nP\n \uf03d\n2\nP\n \uf03d\n20\n520\n20\n520\n2\n20\n184\n3\n3\nP\n \uf03d\n20\n360\n\n3\n20\n336\n20\n520\n4\n20\n184\n5\n20\n336\n20\n360\n6\n20\n24\n\nB\nR\nMTU = 340 Byte\n\nThus, we will have total 6 fragments.\nHence, the correct option is (B).\n\n\nPAGE\n52\n\n\uf076\uf076\uf076\uf076\n", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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\n= 216\n \ncm\n2\n\ud835\udc4e= 6\n \ncm\nVolume of cube \n= \ud835\udc4e\n3\n \n= 6\n3\n \n= 216\n \ncm\n3\n\nPAGE\n6\n\n\uf0b7\n Circumference of cylinder \n2\n2\n4\nr\nr\n\uf03d\uf070\uf03d\n\uf0ae\n\uf03d\uf070\n\uf0b7\n Volume of cylindrical tube \n= \ud835\udf0b\ud835\udc5f\n2\n\u210e\n2\n2\n216\n54\n\uf0e6\n\uf0f6\n\uf03d\uf070\n\uf0b4\n\uf03d\n\uf0e7\n\uf0f7\n\uf070\n\uf070\n\uf0e8\n\uf0f8\n2\n2\n216\n\n\ud835\udf0b\n= \ud835\udf0b(\n\ud835\udf0b\n)\n\u00d7 54 =\nvolume of the cylindrical tube\n216/\ud835\udf0b\n1\n\n\ud835\udf0b\nvolume of the cube \n=\n216\n \n=\nHence, the correct option is (A).", - "question_text": "Question 7 \n \nA rectangular paper sheet of dimensions \n54cm 4cm\n\uf0b4\n is taken. The two longer edges of the sheet are\njoined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is \nalso taken. \n \nThen, the ratio of the volume of the cylindrical tube to the volume of the cube is\n[Logical reasoning, 3]\n(A) \n1\n\uf070\n \n(B) \n2\n\uf070\n(C) \n3\n\uf070\n \n(D) \n4\n\uf070", - "answer_text": "(A) \nSol.\n2\n4 cm\nr\n\uf070\uf03d\n4 cm\nr\n54 cm\n54 cm\nh\n\nSurface area of \n \nrectangular\n \nsheet\n \n= 54 \u00d7 4 = 216\n \ncm\n2\n\uf0b7\n Cube surface area = \n6\ud835\udc4e\n2\n \n= 216\n \ncm\n2\n\ud835\udc4e= 6\n \ncm\nVolume of cube \n= \ud835\udc4e\n3\n \n= 6\n3\n \n= 216\n \ncm\n3\n\nPAGE\n6\n\n\uf0b7\n Circumference of cylinder \n2\n2\n4\nr\nr\n\uf03d\uf070\uf03d\n\uf0ae\n\uf03d\uf070\n\uf0b7\n Volume of cylindrical tube \n= \ud835\udf0b\ud835\udc5f\n2\n\u210e\n2\n2\n216\n54\n\uf0e6\n\uf0f6\n\uf03d\uf070\n\uf0b4\n\uf03d\n\uf0e7\n\uf0f7\n\uf070\n\uf070\n\uf0e8\n\uf0f8\n2\n2\n216\n\n\ud835\udf0b\n= \ud835\udf0b(\n\ud835\udf0b\n)\n\u00d7 54 =\nvolume of the cylindrical tube\n216/\ud835\udf0b\n1\n\n\ud835\udf0b\nvolume of the cube \n=\n216\n \n=\nHence, the correct option is (A).", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:ebb56bcf11934e5f465f8b5b464e314fda46e41003557010acb87fdf979436e9 +size 2260 diff --git a/frontend/public/assets/gate/cs/questions/2024-M/7/q.webp b/frontend/public/assets/gate/cs/questions/2024-M/7/q.webp index 8cc380ebaa4a4c932b30caae3950e733eaac78e3..240a4d9ae22395ca2bc926f4081b620f4aef6f4b 100644 GIT binary patch literal 130 zcmWN?OA^8$3;@tQr{DsXhED^%4KzWRQRx`$!qe;9yo=w`$4j?4PuY#R_j!9%S^l?A zS&s2Ea`Is=P@|KUmTlN}0A{e{v7#^0d59J%aZD?vlDUwlxMB5Dr5qz06tM9jzpuPAr%S@kT?Yd zvbTNzUI?tbax+bh-{E$_be~!N57F|@{$t3uW1V~EixO+e*Vk8bwD`!A^<#Qwm2$NMMuU-p07zj{7B z{>}M|{F~DM$p2&ho%X}>1^9RI&+K2=|Fr+T{^jUb^;g6PIsZBS1JoDPPm}+L{@MGP z{$tq3&3~o-S^oe0srgs)pX+~>pXLAm{s4ay{z?7I`-kn%_aFcNE&nL~@8aL|Pw7A2 zf3p5reSm)z{!#u1`+xVJ`9I=6|Nq|nHT|>wSNHG8?`5Bp|7QPN{tNv_{_pdD|Nr^^ 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b/frontend/public/assets/gate/cs/questions/2024-N/1/data.json index 0fd2756..bd15036 100644 --- a/frontend/public/assets/gate/cs/questions/2024-N/1/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-N/1/data.json @@ -1,11 +1,3 @@ -{ - "id": "1", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "NAT", - "key": "", - "question_text": "Question 1\n \n \n \nIf \u2018\n\uf0ae\n\u2019denotes increasing order of intensity, then the meaning of the words [walk \n\uf0ae\n jog \n\uf0ae\n sprint] is \nanalogous to [bothered \n\uf0ae\n _________ \n\uf0ae\n daunted]. \n \nWhich one of the given options is appropriate to fill the blank? \n \n \n[Verbal Ability, 1]\n \n \n(A) Phased \n(B) Phrased \n \n(C) Fazed \n(D) Fused \nAns. \n(C) \nSol. \nGiven : \n \n[walk\n\uf0ae\njog \n\uf0ae\n sprint] \n \n\u2018\n\uf0ae\n\u2019 denote increasing order of intensity \n \n[bothered \n\uf0ae\n ____\n\uf0ae\n daunted] \n \nMeaning of given words \n \nwalk \n\uf0ae\n to move or go somewhere by putting one foot in front of the other on the ground, but without \nrunning \n \njog \n\uf0ae\n to run slowly especially as a form of exercise \n \nsprint \n\uf0ae\n to run a short distances as fast as you can \n \nbothered \n\uf0ae\n worried about something \n \ndaunted \n\uf0ae\n to frighten or to worry some body by being too big or difficult \n \nFrom options \n \n(A) Phased \n\uf0ae\n carried out in gradual stages, staggered \n \n(B) Phrased \n\uf0ae\nto express something in a particular way. \n \n(C) Fazed \n\uf0ae\n to make some body worried or nervous \n \n(D) Fused\n\uf0ae\njoined or blended to form a single entity. \n \nFrom the above options and there meaning use see that options (A), (B) and (D) are not appropriate for \ngiven analogy and option (C) is logical in the analogy \n \nHence, correct option is (C). \nQuestion 2 \n \nTwo wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide \nto mix all these elements in all possible orders. They also decide to work independently. After trying all \npossible combination of elements, they conclude that the spell does not work. \n \nHow many attempts does each wizard make before coming to this conclusion, independently?\n[Numerical Ability, 4]\n \n \n(A) 24 \n(B) 48 \n \n(C) 16 \n(D) 12 \nAns. \n(A)\n\nPAGE\n2\n", - "answer_text": "", - "explanation_text": "Sol.\n \nCombination of \n= 4! = 24\n \n4 element\n(water, air, fire and earth)\nHence, the correct option is (A)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:93cc9b88c7fb0a1354d2b7acf7789aeb59ed0601102d4a5e9e4fe660ffee055c +size 2317 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/1/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/1/exp.webp index 26d4db66ad601b5bfb6a2d25756defddd52e437d..25947cc15218b562ab70ec33904058d3cc106ebe 100644 GIT binary patch literal 129 zcmWN?K@!3s3;@78uiyg~LPHw*8wgaGQRxWw;OliSdzJTS{iW-i=h%(8w|RRUWBFe{ 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a/frontend/public/assets/gate/cs/questions/2024-N/10/data.json b/frontend/public/assets/gate/cs/questions/2024-N/10/data.json index d7f98fd..5810eba 100644 --- a/frontend/public/assets/gate/cs/questions/2024-N/10/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-N/10/data.json @@ -1,11 +1,3 @@ -{ - "id": "10", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "(C) \nSol.\n \nTo transfer 8 bytes, it requires 1 cycle time.\n\nPAGE\n8\n\n1 cycle \n1 MHZ\n0.25\n4\n\uf03d\n\uf03d\nmicro sec.\n% of time CPU Block \nTransfer timetomemory\nPreparation time\n\uf03d\n0.25\n0.01\nprep.time\n\uf03d\nPrep.time = 25 microsecond\n\nIn \n25\u03bcs\n 8 Byte data transferred\n\uf05c\n In \n25\u03bcs\n \n8 8\n\uf0b4\nbit data transferred\n\uf05c\n In 1 second data transferred\n\uf0b4\n\uf03d\n\uf0b4\n second\n6\n8 8bit\n25 10\n\uf02d\n6\n2.56 10 bps\n\uf03d\n\uf0b4\n25,60,0000\n\uf03d\n bit per second\nHence, the correct option is (C)", - "question_text": "Question 10 \n \nIn the \n4 4\n\uf0b4\n array shown below, each cell of the three rows has either a cross (x) or a number.\n\nPAGE\n7\n\n1\n4\n3\n5\n5\n4\n3\n6\nThe number in a cell represents the count of the immediate neighboring cells (left, right, top. bottom, \ndiagonals) NOT having a cross (\nX\n). Given that the last row has no crosses (\nX\n), the sum of the four \nnumbers to be filled in the last row is \n \n \n \n \n[\nLogical Reasoning, 3]\n(A) 11 \n(B) 10 \n \n(C) 12 \n(D) 9 \nAns. \n(A) \nSol.\n1\nX\n4\n3\n5\nWhatever element\ncame on this box\u2019s\nboundary that all\nare neighbores are\nof circled = 5\nX\n5\n4\n3\nX\n6\nX\ntotal neighores\nof = 5\n1\n\ud835\udc08\n\ud835\udc2c\ud835\udc2d\n\ud835\udc29\ud835\udc25\ud835\udc1a\ud835\udc1c\ud835\udc1e\u2236\n \nIt has 2 neighbors so value \n= 2\n \n \n \n \n \nII\nnd\n \n\ud835\udc29\ud835\udc25\ud835\udc1a\ud835\udc1c\ud835\udc1e \n:\n \nIt\n has 4 neighbors so value \n= 4\n \n \nIII\nrd\n place :\n It has 3 neighbors so value \n= 3\n \nIV\nth\n place :\n It has 2 neighbor so value \n= 2\nst\n2\nnd\n3\nrd\n4\nth\n2 \n4 \n3 \n2\nSum of Last row\n = 2 + 4 + 3 + 2 = 11\n \n \nHence, the correct option is (A).\nQ.11 \u2013 Q.35 Carry ONE mark Each \nQuestion 11 \n[Computer Organization & Architecture (Input Output Organization)]\nConsider a computer with a 4 MHz processor. Its DMA controller can transfer 8 bytes in 1 cycle from a \ndevice to main memory through cycle stealing at regular intervals. Which one of the following is the data \ntransfer rate (in bits per second) of the DMA controller if 1% of the processor cycles are used for DMA?\n(A) 25,60,000 \n(B) 32,00\n(C) 25,60,000 \n(D) 32,000", - "answer_text": "(C) \nSol.\n \nTo transfer 8 bytes, it requires 1 cycle time.\n\nPAGE\n8\n\n1 cycle \n1 MHZ\n0.25\n4\n\uf03d\n\uf03d\nmicro sec.\n% of time CPU Block \nTransfer timetomemory\nPreparation time\n\uf03d\n0.25\n0.01\nprep.time\n\uf03d\nPrep.time = 25 microsecond\n\nIn \n25\u03bcs\n 8 Byte data transferred\n\uf05c\n In \n25\u03bcs\n \n8 8\n\uf0b4\nbit data transferred\n\uf05c\n In 1 second data transferred\n\uf0b4\n\uf03d\n\uf0b4\n second\n6\n8 8bit\n25 10\n\uf02d\n6\n2.56 10 bps\n\uf03d\n\uf0b4\n25,60,0000\n\uf03d\n bit per second\nHence, the correct option is (C)", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:a52fc1bc2fc167f32b6aa0a73b95595a4c16eef0b7b764d4dad00d145af6dd94 +size 3060 diff --git 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"packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "(A)", - "question_text": "Question 12 \n \n \n \n[Digital Logic (Boolean Algebra)]\nLet \np\n and \nq\n be the following propositions :\n:\np\n Fail grade can be given.\n:\nq\n Student scores more than 50% marks.\nConsider the statement: \u201cFail grade cannot be given when student scores more than 50% marks.\u201d \n \nWhich one of the following is the CORRECT representation of the above statement in propositional logic \n? \n \n(A) \nq\np\n\uf0ae\uf0d8\n \n(B) \nq\np\n\uf0ae\n(C) \np\nq\n\uf0ae\n \n(D) \np\nq\n\uf0d8\n\uf0ae", - "answer_text": "(A)", - "explanation_text": "Sol.\n \nQ\n when \nP\n means \nP\nQ\n\uf03d\n\uf0ae\nGiven statement\n:\np\n Fail grade can be given\n:\nq\n Student scores more then 50% marks\n:\np\nFail grade cannot be given\n\nPAGE\n9\n\nSo, Fail grade cannot be given when student score more than 50 % marks\n(\n)\nQ\nP\n\uf0ae\n\nHence, the correct option is (A)." -} \ No newline at end of file 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a/frontend/public/assets/gate/cs/questions/2024-N/13/data.json b/frontend/public/assets/gate/cs/questions/2024-N/13/data.json index 67ed181..2d835f7 100644 --- a/frontend/public/assets/gate/cs/questions/2024-N/13/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-N/13/data.json @@ -1,11 +1,3 @@ -{ - "id": "13", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "(A)", - "question_text": "Question 13 \n \n \n \n \n \n[C-Programming]\n \n \nConsider the following C program. Assume parameter to function are evaluated from right to left. \n \n#include \n \nint g(int p) {printf (\u201c%d\u201d, p); return p;} \n \nint h (int q) {printf (\u201c%d\u201d, q); return q;} \n \nvoid f (int x, int y){\ng(x);\nh(y);\n}\nint main () {\nf(g(10), h(20));\n}\nWhich one of the following options is the CORRECT output of the above C program?\n(A) 20101020 \n(B) 10202010\n(C) 20102010 \n(D) 10201020", - "answer_text": "(A)", - "explanation_text": "Sol.\nint h(int q) {\nprintf (\u201d%d\u201d,q);\nint g(int p) {\nprintf (\u201d%d\u201d,p);\n}\n}\n10\n20\nreturn p;\nreturn q;\n(ii)\n(i)\nint main()\n{\n f(g(10), h(20));\n}\n\n20\n10\nAs its mentioned \u201cparameters to a function are evaluated from right to left\u201d\nSo, h() will be will be evaluated first, and it will print 20 first then g() will be evaluated and it will\n\nPAGE\n10\n\n(i)\nint g(int p) {\nprintf (\u201d%d\u201d,p);\nreturn p;\n}\n10\n10\nx\nvoid f (int , int ){\nx\ny\ng( );\nx\nh( );\ny\n}\n20\nint h(int q) {\nprintf (\u201d%d\u201d,q);\nreturn q;\n(ii)\n20\n}\ny\nint main ( ) {\nf\n (10, 20);\n}\n\nNow as \ng\n() and \nh\n() both function will return 10 and 20 respectively, So now \n(10,20)\nF\n will be called from \n \nthen again \n()\ng\n and \n()\nh\n will be called and 10 and 20 will be pointed respectively.\nHence, the correct option is (A)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:f37562fd424cda5211b28d54150dde91fad4e85ee7b52fc0d7b9796c26f790f1 +size 1618 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/13/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/13/exp.webp index 68a769c50bf539b922a76f912e67224a6260f0e1..b481d5e5420ec3f1ed08f25978472cae27ea48b6 100644 GIT binary patch literal 130 zcmWN?K@!3s3;@7;U%>|~5Fjc2O`t)TQQI-K2Vbvy*-PF!_Lu4BdFX2GeVn&P)A@h@ zl)3IttA|v3`Dq`U(aw-?B}~B5C<8?y#w?x*aZ6ipP!~=iVROEP$T1em3wS~j=ea`7 Ng(n?fF#!_9=?BVQCffi2 literal 32524 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precision floating - point number as per the \nIEEE 754 \nstandard is :\nSign \n(1 bit)\nExponent\nMantissa\n(23 bits) \n \nChoose the largest floating - point number among the following options. \n \n(A)\n(8 bits)\nSign \nExponent \nMantissa \n0 \n0111 1111 \n1111 1111 1111 1111 1111 1111\n(B) \n \n \nSign \nExponent \nMantissa \n0 \n1111 1110 \n1111 1111 1111 1111 1111 1111\n(C) \n \n \nSign \nExponent \nMantissa \n0 \n1111 1111 \n1111 1111 1111 1111 1111 111\n(D)\nSign \nExponent \nMantissa \n0 \n0111 1111 \n0000 0000 0000 0000 0000 000", - "answer_text": "(B)\n\nPAGE\n11", - "explanation_text": "Sol.\n \nAs per described IEEE 754\nSingle precision format\nSign : 0\nExponent : 11111110\nMantissa : 23 1\u2019s\nWill give maximum value.\nHence, the correct option is (B)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:e48040eb2a3a0d718a3323780be065118dae9526aea19e65a679393d77040163 +size 1090 diff --git 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MUST have total participation in the identifying relationship\n\nPAGE\n15\n\n(B) The owner entity set MUST have total participation in the identifying relationship\n(C) Both weak and owner entity sets MUST have total participation in the identifying relationship\n(D) Neither weak entity set nor owner entity set MUST have total participation in the identifying \n \n \nrelationship", - "answer_text": "(A)", - "explanation_text": "Sol.\n \nThe weak entity set must participate totally in the identify weak relationship usually, there exist one to \n \nmany relationship between strong entity and weak entity thus total participation from weak entity set.\nM\nI\nStrong entity set\nWeak entity set\nR\nWeek \nRelationship\nTotal \nParticipation\n\nHence, the correct option is (A)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:7e8fdb62ba48b65a5cbaa071d6d1572641cd107d085f6708b92735bc39f7321f +size 1159 diff --git 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a/frontend/public/assets/gate/cs/questions/2024-N/23/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-N/23/data.json @@ -1,11 +1,3 @@ -{ - "id": "23", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "(B)", - "question_text": "Question 23 \n \n \n \n[Computer Network (Transport Layer)]\nNode \nX\n has a TCP connection open to node \nY\n. The packets from \nX\n to \nY\n go through an intermediate IP \nrouter \nR\n. Ethernet switch \nS\n is the first switch on the network path between \nX\n and \nR\n. Consider a packet sent \nfrom \nX\n to \nY\n over this connection.\nWhich of the following statements is/are TRUE about the destination IP and MAC addresses on this \n \npacket at the time it leaves \nX \n?\n(A) The destination MAC address is the MAC address of \nS\n(B) The destination IP address is the IP address of \nR\n(C) The destination IP address is the IP address of \nY\n(D) The destination MAC address is the MAC address of \nY", - "answer_text": "(B)", - "explanation_text": "Sol.\n \nHost \u2013 Switch \u2013 Router \u2013 Host\nX \n S \n R Y\nX\n send packet to \nY\n. considered IP datagram, IP address of destination is IP address of host (\nY\n). 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b/frontend/public/assets/gate/cs/questions/2024-N/25/data.json @@ -1,11 +1,3 @@ -{ - "id": "25", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "", - "question_text": "Question 25 \n \n \n[Operating System (Process Management-II)]\nConsider a process \nP\n running on a CPU. Which one or more of the following events will always trigger \na context switch by the OS that results in process \nP\n moving to a non-running state (e.g., ready, blocked) \n?\n(A) \nP\n makes a blocking system call to read a block of data from the disk\n(B) \nP\n tries to access a page that is in the swap space, triggering a page fault \n \n(C) An interrupt is raised by the disk to deliver data requested by some other process \n \n \n(D) A timer interrupt is raised by the hardware \nAns. \n(A, B)", - "answer_text": "", - "explanation_text": "Sol.\n \nOption A :\n \nTRUE\nIf a process itself makes a block ( ) call then it will be blocked until input/output.\nOption B : TRUE\nIf a page is not in the physical memory then the OS invokes the page faults handler and the process remains \nblocked until the page is read (Disk i/o is complete).\nOption C : False\nThat kind of request will be served by DMA and the CPU does not need to get invoked hence the current \nprogram will keep on using the CPU.\nOption D : False\nTimer interrupts will be ignored in many cases and will not lead to a context switch.\nHence, the correct option is (A) and (B)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:588ea2ebd26581c3aa7465e93fcfa5e22c6e1626fbd26e88a2eedb861f3d3721 +size 1431 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/25/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/25/exp.webp index ef6514fcb957e687faeb62c3b6bd29a2a9b6675a..5faedabfa1ff22e944773e6e8314a579c690fe04 100644 GIT binary patch literal 130 zcmWm4OA^8$5CGAAPQe8XF#L0yzzjl_O3J}3JiT$%i`OT;xsR78Mxq7PIux?q!osG?WNJ5y`6%EDjvVzWs$0HVHr0FNeV N(skkfC81*gSbp`&C#(Pf literal 18722 zcmV(%K;pkrNk&E*NdN#>MM6+kP&gnCNdN#4*8rUXDr5rW06tM9k42-RAre^)+&BdU zvbS)!Hyn)C_SOUSm$u(o=Tl>UG5x>IziS<5=DW;)pna)-#Pw_D4f^}j3(P0(m#eq^ zKUhD~y+yyEf1vA)^l|-`^zrta{^$Qg(qC22(BId;9el@rWBn`p*XuX-|NcI<{t@wi 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a/frontend/public/assets/gate/cs/questions/2024-N/26/data.json b/frontend/public/assets/gate/cs/questions/2024-N/26/data.json index d505360..98b67aa 100644 --- a/frontend/public/assets/gate/cs/questions/2024-N/26/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-N/26/data.json @@ -1,11 +1,3 @@ -{ - "id": "26", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "(A, B)", - "question_text": "Question 26 \n \n[Database (File Structure)]\nWhich of the following file organizations is/are I/O efficient for the scan operation in DBMS?\n(A) Sorted \n(B) Heap\n(C) Unclustered tree index \n(D) Unclustered hash index", - "answer_text": "(A, B)", - "explanation_text": "Sol.\n \nThe file organization that are I/O efficient for the scan operation in DBMS are\n(1) Sorted\n(2) Heap\nHence, the correct option is (A) and (B)" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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the Two Phase Locking (2PL) protocol is/are TRUE ? \n \n(A) 2PL permits only serializable schedules\n\nPAGE\n19\n\n(B) With 2PL, a transaction always locks the data item being read or written just before every operation\nand always releases the lock just after the operation \n \n(C) With 2PL, once a lock is released on any data item inside a transaction, no more locks on any data\nitem can be obtained inside that transaction \n \n(D) A deadlock is possible with 2PL \nAns. \n(A, C, D)", - "answer_text": "", - "explanation_text": "Sol. \n(A) 2PL permits serial schedule\n(C) No lock can be taken an the shrinking phase of transaction once a lock has been released\n(D) 2 or more transaction can wait for each other to release locks. 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b/frontend/public/assets/gate/cs/questions/2024-N/43/data.json @@ -1,11 +1,3 @@ -{ - "id": "43", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "(A)", - "question_text": "Question 43\nConsider the following expression: \n\uf028\n\uf029\n[ ]\n*\n[ ]\n/\nx i\np\nr\ns i\nu w\n\uf03d\n\uf02b\n\uf02d\n\uf02b\n. The following sequence shows the list of\ntriples representing the given expression, with entries missing for triples (1), (3), and (6).\n[Data Structure, 2 Stack Queue]\n \n(0)\n \n+ \np \nR\n(1)\n(2) \numinus \n(1)\n(3)\n(4) \n/ \nu \nw\n(5) \n+ \n(3) \n(4)\n(6)\n(7) \n= \n(6) \n(5) \n \n \nWhich one of the following options fills in the missing entries CORRECTLY ?\n(A) \n\uf028\uf029\n\uf05b\uf05d\n\uf028\uf029\uf028\uf029\uf028\uf029\n\uf028\uf029\n\uf05b\uf05d\n1\n3 * 0\n2\n6\ns i\nxi\n\uf03d\n\uf03d\n(B) \n\uf028\uf029\n\uf05b\uf05d\n\uf028\uf029\uf028\uf029\uf028\uf029\n\uf028\uf029\n\uf05b\uf05d\n\uf028\uf029\n1\n3\n0\n2\n6\n5\ns i\nx\n\uf03d\n\uf02d\n\uf03d\n(C) \n\uf028\uf029\n\uf05b\uf05d\n\uf028\uf029\uf028\uf029\uf028\uf029\n\uf028\uf029\n\uf05b\uf05d\n\uf028\uf029\n1\n3 * 0\n2\n6\n5\ns i\nx\n\uf03d\n\uf03d\n(D) \n\uf028\uf029\n\uf05b\uf05d\n\uf028\uf029\uf028\uf029\uf028\uf029\n\uf028\uf029\n\uf05b\uf05d\n1\n3\n0\n2\n6\ns i\nxi\n\uf03d\n\uf02d\n\uf03d", - "answer_text": "(A)", - "explanation_text": "Sol.\n \nGoing from left to right we resolve the bracket first. (\nP\n + \nr\n) is already given now we solve \ns\n[\ni\n]. Then \ncomes unary minus as per operator preference then we solve * which acts (0 and 2) and\n /,+\nsubsequently \nthen \nx\n[\ni\n] address is calculated (step - 6) where the final results (obtain in step 5) is stored in the last step \n(7). The assignment operator has lowest preference so it is done at last.\nHence, the correct option is (A)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:1927c8f18e6a5b880331295fbde6f21858c0ae591b216fe2217ae6879e46f63c +size 1804 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/43/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/43/exp.webp index 22326277ea1d9c249be10a21113c2ff60afc2a5a..48b194151c93fb01ab125c81b51a4d31ff6344af 100644 GIT binary patch literal 130 zcmWN_Ne+WB3;@7;UXc%!kj0MSH#kcZsV%4u9Qyil8fmWbmA-#;8{?4Gm}ei4SC#3u zojj%eZR9A)TvqKpYiXMUTtfyA76K#BK8A$e2JoKg?m#I)=4jnanXoVyE<{`9N{a(t OGI}NbSG08)QT+kDiYF5Q literal 12676 zcmV-~F?-HZNk&F|F#rHpMM6+kP&goPF#rG%odBHyDr5pu06tM7jzpuPAruM5XgCD~ zw6}gfOhol&K{%qI&-@2e&rk=T2kT#@C$TT>SL=7O)~LslKbQVP_wW5b@!R{KrGJV1 zul2vkpX*<;pA;X&_|WPP^WKJk6Z+lu@9f{Uf876demMT=`AO(s!%yQss(#me0{%1n zllyP=@7urdf4sinzs`NC`3~y8-@n-UgnE7Q@A1FcKgEB|{{iif>)+k~z<$X8SpWa? 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Person (pid, city), describes the city of residence for every person uniquely identified \n \nby pid. The following relational algebra operators are available: selection, projection, cross product, and \n \nrename.\nTo find the list of cities where at least 3 persons reside, using the above operators, the minimum number \n \nof cross product operations that must be used is \n[Database, 3 relational Model Relational Algebra]\n(A) 1 \n(B) 2\n(C) 3 \n(D) 4", - "answer_text": "(B)", - "explanation_text": "Sol. \n \n1\n(\n)\nR\nR S\n\uf0ac\uf073\n\uf0b4\nR\n.city = \nS\n. city \n\uf0d9\n \nR\n.pid \n\uf0b9\nS\n.pid\n2\n1\n(\n)\nR\nR\nP\n\uf0ac\uf073\n\uf0b4\n1\n.city\nR\n = \nP\n. city \n\uf0d9\n \nR\n1\n.pid \n\uf0b9\nP\n.pid\n3\nR\n \uf0ac\uf070\n2\n(\n)\nR\ncity\nHence, we need 3 table and 2 cross product\nHence, the correct option is (B)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:6e123e46799f99564c820fdbb09946cd347361d9fc105cf5b888d3dadf15383c +size 1051 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/45/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/45/exp.webp index c24b6283a897aefbca436277683f1437b35149b2..a914f766f83905d7274e65d04ab79455880478c3 100644 GIT binary patch literal 129 zcmWN?OAf*y5CG79Pr(H&pUN=wHp9ROiAp2bg{Qa4OWs*NqxH9{a~@;Y`qAd?DPz5^ z-?Van>2Va+r(Jr>YE*I_cG<{-A!5iyjEMxEQ3TntqlhNCOX4Vi#S&~0g4hys!n<`y Myo~lMD#U=xALPXMM6+kP&gnK9{>Q*k^r3nDr5q?06tMBkVYe-A)zBPDzI=0 z31x2XV03T512w$ketFONFYUjKKKHg)?_N*4h3sE6o@4yw?F0SSt6wlL*nXEE^L+(= z;(EV-!S#9QE&T(kBhi=juhqxaWA{V%585|Xv(z8ee;mBX{;~b9@$X1` zpZqrAf5X1CecSuD?Qi$r-9CB#N`B?`jq(fl$MLW3Ki0o*f5H3F{Fi_BZT@aOkG_kZF)Dt(rINBxie=lI{=|MH(;f5(5If2{u5{#*Zl z`A`4<{(k2_^!tAOn)WRHga3*7{zcR?MO~zbF=_BE?qirE+(M@rH7rTU%4S`r@>@Sh zyTbhwQanK$=>Xy9*ng1ux^yg=gZ%rOHwN(DJiaIpzW{Em&cpw`qJtrA6czkOpbxG*5jXwelWTGm{_40ji3TBV|Z~DEit`@=FHp z48R%nooZ_d@tWbWs5OO+wHy!^#Ac?}@I}_{L6-XULL!&o7I>OR{mfeZl|%~ynCTjD zUz>cisShi*>O+I#0&_W+dG9^L)lPi@M?I#(g z^CV>GA5=r5UHuy5_wzpDK+b5bp2R7U?GisLN||hfu&-0IaUiib7X+D%L9)b( zGDl|1e{bt1_p8cmsS-5czc%@4OkD4Te+A%?_-~At>ffn?DyFBnhL(#b@lH$dyqWj|@% zshZYS2R_y&Mz-VdLW|d8xp|B_U7{zyP3I37RC(7Pw#N7r$3c{RZ7EQR>!QPw5>(#4 z#kg%m_i%_h&y5v1t%{H!pb|z>d%C4}1FwLSaG~v(llP3a?!4(VeAWX9jqe#|E4x=8 z5p+F2fc2@yx1P2q1&8%3o z5q>g}Ssp^mjZ$NtAgz+8) z<|U}3TPi7&E~(<@5I(mdd{NU07T1hEyk&u8eq&*_Engf*MavYARW@L-tPthE@~V8Vew3bxi|)h|!ElGXoh&a5KV5Mm ziQ_j3XkwuTNY$59tjRi|B;dsJ6k*3(%@&Qz8EQ)E5G(t%g+Rb-0F9A-8i7|e6v1g2+LDCGEL%tQ9SC=w#a^_=Xg-=DOawgsRZ>r26AT`C{b)q}ynMNE_hf1wHE{lWa+h$y zal*mTCwalfG7BtReq@_zN;UngsIQUDtmTwFkb>^pYTeX& z+%K(lru`G0Zh7B5LfsiAy^Aw|NR;w&L#|C?x(II%?&?PAlpPZd8)QCW)_h@}8C@fw zcFkfF1%LQO4LqyLb3AEl{15qlK77jRe^=w@%tUJ%*qERIGEP@eb(-DOOAsY})&~BW zy7`kg_AL2T@RmSQ#4Z?nmpAC-@aE+hIhAC{3mXik`?e0fsOyee_tBB>{PoBCAy*G- zmUQG%c4t@72%YO;aD;l%?biom*)BF+0>blW%520>AHYMQ?z!1;>0{ZIllp}VSNq!pFb*+{C~|MC$tt6h!Y!JX;r?cSh|GOtCS(m1zXRH`ges04i7v&3WZ*zh~%#EWAQ zywu>g7{RL$_dF(QsSS;iiwMP}wko`XILze#Iw=;X_;5=fKH_`MJFFeQs2qrzx<`pgVD7+m9 zNaFBCP)5U)@DpiRRO&vLfIS<-T7%_WNU4c2#nKL&*5h;O)=Hnw`G{FuuA>D7xPm(K zAr`bJtzz3IV2+^W_)^DJ@~}W;k3~;@6!pu&?iPAV88VwwY*AsC z&W`3`4vgPFx22jLOsjk;-=}%U)RhNQ33iy`NsU-4z~lM;A~^gH>1|P5K1?6rg$W`L zb*A$J!lYf#!!U=;i1r<4oPU^}X!S0J7iWxg8(r1$?gwc3uN~c6!^2-5lR7Gk?lUcF zNcEBQ7QDXzlVk2#qj9%uQVs`!^ZP+SEJc_qS%yipkCi)2CFD||C;^lZTq58P8hjnF z=%XNi-FftG3Y(w0q7xc_58QSZru$UKr(pZnBTc-_S|ZGADp-Y_q<~iWsMF|jOpx1w@kjRF7lREVUU0&u7@oqvEN~9HjAM};xkX2FHF0Q^XJ^VA>;2a7 z!m5ySvc7D#?AngPpS?^A4kEuA#V*S_&kDD`*RY>EWD-P)+ z9}OE_`m@%6k$%OU=N0|>(A)Kay&lv(){G`g-G)>yRjd>Fknmj~Ha^U>WVDx>Ve_+s zP556Lhu_m)1G_gLK{3~#uGmbix(!1p<^Z5OaX!{nBZ;UUEk>N!v{OaYryf-S=R{o* zbVbB$2HXXmdXN*yb2`$dea{|_q)2JHxdZBTU`G_Qo2@6nN}57~!F7XcX&aTqL%**U zXc+C^l5?_51b^80LlC^-@=YVWO~_JddhQ1L)1aDK7CUUMgfu=6@oiSHr@H8)3}bQ@ z<0}5{@6{6H?J?-o^OI{?_wbwh-k zUHC)*J16WV`~zcF&m=&>!P$rA5d6|d8zknt7_|qB;wAOA`xfq(s!R!S9ak&Y&?{qV zuq9m(wbLE+xo#EBBH$3!byMiKfPdGU%5&QVW*Ekjc{Cj2({^qXy z!`ZS>}F!VANHT zr`5JH_l-BMza$!xw1@cE2Gf(@yLN0~m2z2}N0QA^UR~5d%m86EyLv+bq8wMx)&JP@ zbe5cD)BUSb%f&(z6Z&VJNC>HOV@E8Q^JM?-E=dSz#hZ?1Q3qA8T;)f`}@NUzD`f=;2^srP?j}EPD0jQavIbqJ=&b4sQqC!bwdP) z_aBI{LIz}zbHKs`;#4%Mkl5{4c;DlyLFWJw`=stn^cq&jY}Pu_5!h-~gQBU~QQJt9 zFqhNN{6+cg&uz`l5}$pt!JE^eoFW=#9j2RH2DMC80~WrEKDqRpUM;yV>stxfuQ1E2 z%4D}_0%4?TL!T(DsAIOw(M(%I8a<6A$%Q;S>&hwIkwU7&t(acp%Q(v6CjDbdUnmk@ zY`xr&(l$oFi5{A^`)HgiJ9DTt?S^1jWL0>Kh5xoNm$5hkFHR}7jq$3=B(uIdy?pr4 z>oH1bNxI>&CS0CH4Bnt#eGx7Bz3mQ(1zX#X<+N+{$`k=kc82#`PL9?s4Xq@02p>e! 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The threads share two semaphores : \ns\n1 \n(initialized to 1) and \ns\n2 (initialized to 0). The threads also share a global variable \nx \n(initialized to 0). The \nthreads execute the code shown below.\n// code of T1\n// code of T2\nwait (s1);\nwait (s1);\nx = x\n+\n1;\nx = x\n+\n1;\nprint (x);\nprint (x);\nwait (s2);\nwait (s2);\nsignal (s1);\nsignal (s1);\nWhich of the following outcomes is/are possible when thread T1 and 2 execute concurrently ?\n[Operating System, 3 Deadlock]\n(A) \nT\n1 runs first and prints 1. \nT\n2 runs next and prints 2\n\nPAGE\n31\n\n(B) \nT\n2 runs first and prints 1. \nT\n1 tuns next and prints 2\n(C) \nT\nl runs first and prints 1. \nT\n2 does not print anything (deadlock)\n(D) \n \nT\n2 runs first and prints 1. \nT\n1 does not print anything (deadlock)", - "answer_text": "(B, C)", - "explanation_text": "Sol.\n \nInitially \n1\n1\nS\n \uf03d\nand both threads are performing wait operation on \n1\nS\n . So, only one thread will succeed\nand run.\nIf thread \n1\nT\n runs first then \n1\nT\n get blocked When it execute wait \n2\n(\n)\nS\n. Also, \n2\nT\n cannot run as it would\nget blocked when it executes wait \n1\n( )\nS\n . 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- "key": "", - "question_text": "Question 47 \n[MSQ]\nLet \nA\n be an \nn n\n\uf0b4\n matrix over the set of all real numbers \nR\n . Let \nB\n be a matrix obtained from \nA\n by \nswapping two rows. Which of the following statements is/are TRUE ?\n[Engineering Mathematics, Linear Algebra]\n(A) The determinant of \nB\n is the negative of the determinant of \nA\n(B) If \nA\n is invertible, then \nB\n is also invertible\n(C) If \nA\n is symmetric, then \nB\n is also symmetric\n(D) If the trace of \nA\n is zero, then the trace of \nB\n is also zero \nAns. \n(A, B) \nSol.\n \nLet us take \n2\n2\n\uf0b4\n matrix\n2\n3\nA\n\uf0e9\n\uf0f9\n\uf03d\uf0ea\n\uf0fa\n\uf02d\n\uf0eb\n\uf0fb\n3\n2\n\n\n3\n2\nB\n\uf02d\n\uf0e9\n\uf0f9\n\uf03d\uf0ea\n\uf0fa\n\uf0eb\n\uf0fb\n2\n3\nthen\n\nFrom option (A) : \n \nDeterminant of \nA\n and \nB\n \nis\n9\n4\n13\nA\n \uf03d\uf02d\uf02d\n\uf03d\uf02d\n4\n9\n13\nB\n \uf03d\n\uf02b\n\uf03d\nHence, determinant of \nB\n is the negative of the determinant of \nA\n. \n \nHence, option (A) is correct. \n \nFrom option (B) : \n \nInvertible matrix :\n An invertible matrix is a square matrix that has an inverse. \n \nFor inverse of matrix to exist, its determinant does not equal to zero.\nHere, \n13\nA\n \uf03d\uf02d\n\nPAGE\n32\n\n13\nB\n \uf03d\nHence, both \nA\n and \nB\n invertible matrix. \n \nHence, option (B) is correct. \n \nFrom option (C) : \n \nSymmetric matrix,\nT\nA\nA\n\uf03d\n\n2\n3\nA\n\uf0e9\n\uf0f9\n\uf03d\uf0ea\n\uf0fa\n\uf02d\n\uf0eb\n\uf0fb\n3\n2\nFor\n\nT\nA\n\uf0e9\n\uf0f9\n\uf03d\uf0ea\n\uf0fa\n\uf02d\n\uf0eb\n\uf0fb\n3\n2\n\n\n2\n3\nT\nA\nA\n\uf03d\n\uf05c\n3\n2\nB\n\uf02d\n\uf0e9\n\uf0f9\n\uf03d\uf0ea\n\uf0fa\n\uf0eb\n\uf0fb\n2\n3\nand\n\nT\nB\n\uf0e9\n\uf0f9\n\uf03d\uf0ea\n\uf0fa\n\uf02d\n\uf0eb\n\uf0fb\n2\n3\n\n3\n2\nT\nB\nB\n\uf0b9\n \n \nHence, \nA\n is symmetric and \nB\n is not symmetric. \n \nHence, option (C) is not correct. \n \nForm option (D) :\n\uf05c\nTrace \n( )\n3 3\n0\nA\n \uf03d\uf02d\uf03d\nTrace \n( )\n2\n2\n4\nB\n \uf03d\n\uf02b\n\uf03d\nHence, if trace \nA \nis zero, then its not necessary that trace \nB\n is also zero. \n \nHence, option (D) is not correct. \n \nHence, the correct options are (A) and (B).\n \nQuestion 48\n \n \nLet \n1\nS\n and\n 2\nS\n be two stacks. \n1\nS\n has capacity of 4 elements. \n2\nS\n has capacity of 2 elements. \n1\nS\n already \nhas 4 elements : 100, 200, 300, and 400, whereas \n2\nS\n is empty, as shown below.\nOnly the following three operations are available : \n \nPushTo\n 2\nS\n : Pop the top element from \n1\nS\n and push it on \n2\nS\n \n \nPushTo\n 1\nS\n : Pop the top element from \n2\nS\n and push it on \n1\nS\n\nPAGE\n33\n\nGenerateOutput: Pop the top element from \n1\nS\n and output it to the user \n \nNote that the pop operation is not allowed on an empty stack and the push operation is not allowed on a \nfull stack. \n \nWhich of the following output sequences can be generated by using the above operations ?\n[Data Structure, 2 Stack queue]\n(A) 100, 200, 400, 300 \n(B) 200, 300, 400, 100 \n \n(C) 400, 200, 100, 300 \n(D) 300, 200, 400, 100 \nAns. \n(B, C, D)", - "answer_text": "", - "explanation_text": "Sol.\n \nOption B :\n First pop two items 400, 300 from \n1\nS\n and push it to \n2\nS\n1\n200,100\nS\n \uf03d\n \n2\n300,400\nS\n \uf03d\n print 200 as output\nPop 300 from \n2\nS\n and push it into \n1\nS\n print 300.\nNow \n1\n100\nS\n \uf03d\n and \n2\n400\nS\n \uf03d\npop 400 from\n2\nS\n and push it back to \n1\nS\nOutput:\n 200, 300, 400, 100\nOption C :\n (400, 200, 100, 300) print 400 from \n1\nS\nPop 300 from \n1\nS\n and push to \n2\nS\n print 200, 100 from\n1\nS\nPop 300 from \n2\nS\n and push it to\n1\nS\n print 300\nOutput:\n 400, 200, 100, 300\nOption D :\n 300, 200, 400, 100\nPop 400 from \n1\nS\n and push to \n2\nS\nPrint 300, 200\nPop 400 from \n2\nS\n and push to\n1\nS\n1\n400,100\nS\n \uf03d\nPrint 400, 100\nOutput:\n 300, 200, 400, 100\nHence, the correct option (B), (C) & (D)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:169b62c465deaafcb0ed7fb381c16560d20495e07820b4ebe942f06f89044097 +size 4146 diff --git 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a/frontend/public/assets/gate/cs/questions/2024-N/49/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-N/49/data.json @@ -1,11 +1,3 @@ -{ - "id": "49", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "", - "question_text": "Question 49\n \n \nWhich of the following is/are EQUAL to 224 in radix-5 (i.e., base-5) notation ?\n[Digital Logic, 1 Number System] \n \n(A) 64 in radix-10 \n(B) 100 in radix-8\n\nPAGE\n34\n\n(C) 50 in radix-16 \n(D) 121 in radix-7 \nAns. \n(A, B, D)", - "answer_text": "", - "explanation_text": "Sol.\n \n0\n1\n2\n5\n10\n(224)\n4 5\n2 5\n2 5\n(4 10\n50)\n\uf03d\uf0b4\n\uf02b\uf0b4\n\uf02b\uf0b4\n\uf03d\n\uf02b\n\uf02b\n10\n(64)\n\uf03d\n0\n1\n2\n8\n10\n(100)\n0 8\n0 8\n1 8\n(0\n0\n64)\n\uf03d\uf0b4\n\uf02b\uf0b4\n\uf02b\uf0b4\n\uf03d\n\uf02b\n\uf02b\n10\n(64)\n\uf03d\n0\n1\n16\n(50)\n0 16\n5 16\n(0\n80)\n\uf03d\uf0b4\n\uf02b\uf0b4\n\uf03d\n\uf02b\n10\n(80)\n\uf03d\n0\n1\n2\n7\n10\n10\n(121)\n1 7\n2 7\n1 7\n(1 14\n49)\n(64)\n\uf03d\uf0b4\n\uf02b\uf0b4\n\uf02b\uf0b4\n\uf03d\n\uf02b\n\uf02b\n\uf03d\nHence, the correct option are (A), (B) and (D)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:01706702d89a619d64fcc03f4f1bd6956dcc5683b359d714e3a582603d015210 +size 1019 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/49/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/49/exp.webp index 9ed43c435bae7f603c7f54583c1548a0d4527d4f..caea75b2eb5590e80365a1d6e332c1b7ba31368b 100644 GIT binary patch literal 129 zcmWN?OA^8$3;@tQr{DsX20|#k4WA&)sO=c+!qe;9yo=v5j+gFpp0XQrAM^HTvi$F# zyp-c<lki5Sejn M4wQ^9>p-hjKfj769RL6T literal 7602 zcmV;j9Zlj=Nk&Gh9RL7VMM6+kP&go-9RL7ufdHKWDr5rC06tMDkVYe-p`jx3iSTd= z31@EMbdD?b<{@j^gs2#+dtEP@c%Xc|Np1nudzSbU;5tU->yIK|3Clx z4fSBm%GXY*c&5t$w>Q7q&+IaH8w=oP*_S7lU9|uLp8tN!$|n;uDfI-gOkh{DDj={{ 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\uf03d\uf0e5\n\uf028\n\uf029\n2\n1,3,5,7,11,13,15\nf\n\uf03d\uf0e5\n\uf028\n\uf029\n3\n0,1,4,11\nf\n\uf03d\uf0e5\n\uf028\n\uf029\n4\n0,2,6,13\nf\n\uf03d\uf0e5\nWith respect to the circuit given above, which of the following options is/are CORRECT ?\n(Digital logic, 2 Boolean Algebra)\n(A) \n\uf028\n\uf029\n0,1,2,11,13\nY\n \uf03d\uf0e5\n \n(B) \n\uf028\n\uf029\n3,4,5,6,7,8,9,10,12,14,15\nY\n \uf03d\uf050\n(C) \n\uf028\n\uf029\n0,1,2,3,4,5,6,7\nY\n \uf03d\uf0e5\n \n(D) \n\uf028\n\uf029\n8,9,10,11,12,13,14,15\nY\n \uf03d\uf050", - "answer_text": "(C, D)\n\nPAGE\n35", - "explanation_text": "Sol. \nAs per given diagram \n1\n2\n( ,\n)\nf\nf\n and \n3\n4\n(\n,\n)\nf\nf\nwill go for AND product and then, they will go for XOR\nfunction.\n(0,1,2,3,4,5,6,7)\nY\n \uf03d\uf0e5\n(8,9,10,11,12,13,14,15)\nY\n \uf03d\uf070\nHence, the correct option are (C) and (D)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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b/frontend/public/assets/gate/cs/questions/2024-N/51/data.json @@ -1,11 +1,3 @@ -{ - "id": "51", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "", - "question_text": "Question 51\n \n \nLet \nG\n be an undirected connected graph in which every edge has a positive integer weight. Suppose that \nevery spanning tree in \nG\n has even weight. Which of the following statements is/are TRUE for every such \ngraph \nG\n ? \n \n \n \n[Data Structure, 6 Graph] \n \n(A) All edges in \nG\n have even weight \n \n(B) All edges in \nG\n have even weight OR all edges in \nG\n have odd weight \n \n(C) In each cycle \nC\n in \nG\n , all edges in \nC\n have even weight \n \n \n(D) In each cycle \nC\n in \nG\n , either all edges in \nC\n have even weight OR all edges in \nC\n have odd weight \nAns. \n(D)", - "answer_text": "", - "explanation_text": "Sol.\n \nGiven tree is spanning tree, not about minimum spanning tree. 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respectively. Which\nof the following statements is/are TRUE ? \n \n \n[Theory of Computation, 1 finite Automata]\n(A) \n( )\n( )\na\nb\nn w\nn w\n\uf03e\n \n(B) \n( )\n( )\n2\na\nc\nn w\nn w\n\uf03e\n\uf02d\n(C) \n( )\n( ) 1\nc\nb\nn w\nn w\n\uf03d\n\uf02b\n \n(D) \n( )\n( )*2\nc\nb\nn w\nn w\n\uf03d", - "answer_text": "(B, C)", - "explanation_text": "Sol.\n \nL\n = {\nc, ac, aac, acbc, aacbaac, acbaacba,\n \u2026\u2026..}\n(A) Not mentioned about \nC\n, where \nC\n is minimum string \nacbc\n number of \na\u2019s\n and \nb\u2019s\n are equal so always\nnot greater than. string of language.\n(B)\n aacbc\n, 2> (2-1) true for any string of language\n(C) True for any string\n(D) \nac\n, \n1\n0*2\n\uf0b9\n, \nacbaacbc,\n \n3\n2*2.\n\uf0b9\n false\nHence, the correct option are (B) and (C).\n\nPAGE\n36\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:3f53227fc544bb698d3cda0dd5718fecf5ccebbe12efa48385e8e057b8ee2b6e +size 1260 diff --git 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a/frontend/public/assets/gate/cs/questions/2024-N/55/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-N/55/data.json @@ -1,11 +1,3 @@ -{ - "id": "55", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "", - "question_text": "Question 55\n\nPAGE\n37\n\nConsider an Ethernet segment with a transmission speed of \n8\n10\n bits/sec and a maximum segment length\nof 500 meters. If the speed of propagation of the signal in the medium is \n8\n2 10\n\uf0b4\n meters/sec, then the \nminimum frame size (in bits) required for collision detection is _______.\n[Computer Network, 4 Transport Layer]\n \nAns. \n(500 to 500)", - "answer_text": "", - "explanation_text": "Sol.\n \n8\n10 bits/sec\nBw\n \uf03d\n500m\nd\n \uf03d\n8\n2 10 m/sec\nv\n \uf03d\uf0b4\nT\nT\nT\nT\n\uf0e6\n\uf0f6\n\uf0b3\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\nt\n \n=Transmission Time\n2.\n=Propagation Time\nt\np\nFor ethernet\n\np\nf\nd\nB\nV\n\uf0b3\n\uf0b4\n\uf0de\n \n2\ns\nw\nd\nf\nBw\nv\n\uf0b3\n\uf0b4\n\uf0b4\n2\ns\n8\n8\n2 500m\n10 bits/sec\n2 10 m/sec\ns\nf\n\uf0b4\n\uf0b3\n\uf0b4\n\uf0b4\n500bits\ns\nf\n \uf0b3\n\uf05c\n \nmin\n500bit\ns\nf\n\uf03d\nHence, the correct answer is 500 bit." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:4be4d8fc02b4a8edc537e609c50dee550c4a6d6fc1e11a3f90cf07c2b9c04e8c +size 1098 diff --git 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a/frontend/public/assets/gate/cs/questions/2024-N/56/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-N/56/data.json @@ -1,11 +1,3 @@ -{ - "id": "56", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "", - "question_text": "Question 56\nA functional dependency \n:\nF X\nY\n\uf0ae\n is termed as a useful function dependency if and only if it satisfies \nall the following three conditions :\n\u2022 \nX\n is not the empty set.\n\u2022 \nY \nis not the empty set\n\u2022 \nIntersection of \nX \n and \nY \nis the empty set\nFor a relation \nR\n with 4 attributes, the total number of possible useful functional dependencies is \n________.\n[Database, 2 Database Design Functional]\n \nAns. \n(50 to 50)", - "answer_text": "", - "explanation_text": "Sol.\n \n:\nF X\nY\n\uf0ae\nCase I:\n when one element is present on the left side\n\nPAGE\n38\n\n3\n4\n(2\n1)\n4 7\n28\nC\n \n\uf0b4\n\uf02d\n\uf03d\n\uf0b4\n\uf03d\n\n1\nCase II:\n When 2 element are present on the left side\n2\n4\n(2\n1)\n6 3\n18\nC\n \n\uf0b4\n\uf02d\n\uf03d\n\uf0b4\n\uf03d\n\n2\nCase III:\n When 3 element are present on left side.\n1\n4\n(2\n1)\n4 1\n4\nC\n \n\uf0b4\n\uf02d\n\uf03d\n\uf0b4\uf03d\n\n3\nTotal functional dependency = 28+18+4\n= 50\nHence, the correct answer is 50." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:b8b2d35b2d9e104efd7d9018c402d06279535de6cb07dab9d941db2bd929c624 +size 1197 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/56/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/56/exp.webp index e238f80ef872783b454c5edd793f06f18ffac3a9..20777d29b9ebfa6e0c6f701ca52dbdd9e8c61118 100644 GIT binary patch literal 130 zcmWN?NfN>!5CFhCuiyiQVHqI#4a*=@siYjt!PjeF`l2_F`I3FDlMkitW8EH&xBvZ< zw=$oKPb%utVvZ`gCxiZoIaK-j-hNk&FSK>z?(MM6+kP&gnuK>z@d-vFHfDr5pO0X|VCkVT`SA(A^qAUFjC 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The instruction format \nconsists of an opcode field, an addressing mode field, two register operand fields, and a 16-bit scalar field. \nIf 8 addressing modes are to be supported, the maximum number of unique opcodes possible for every \naddressing mode is __________. \n \n[Computer Organization & Architecture, 1 Machine Instruction & Addressing Format] \nAns. \n(32 to 32) \nSol.\nInstructions\n32 bit\nOpcode\nAdd mode\nRegister 2\nRegister 1\nScaler\n8\n2\nlog\n3\n\uf03d\n4bits\n16\n2\nlog\n4\n\uf03d\n16 bits\n32\n(3\n2 4 16)\n\uf02d\n\uf02b\uf0b4\uf02b\n32\n27\n5bit\n\uf03d\n\uf02d\n\uf03d\n\nSo, maximum no. of unique opcode possible \n5\n2\n32\n\uf03d\n\uf03d\nHence, the correct answer is 32.", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:9ad2f6b0069cbc226a63357cfaaa5b65581d009c92230b1936b4069013c9bb1a +size 1017 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/57/q.webp 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--git a/frontend/public/assets/gate/cs/questions/2024-N/59/data.json b/frontend/public/assets/gate/cs/questions/2024-N/59/data.json index 7a79fc9..6d075e2 100644 --- a/frontend/public/assets/gate/cs/questions/2024-N/59/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-N/59/data.json @@ -1,11 +1,3 @@ -{ - "id": "59", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "(9 to 9) \n \nSol.\nb\nc\n1\n1\ng\na\nd\n1\n1\ne\nf\n\n3 choice\n3 choice\nNo. of MST \n1\n1\n3\n3\nC\nC\n\uf03d\n\uf0b4\n3 3\n9\n\uf03d\uf0b4\uf03d\nHence, the correct answer is 9.", - "question_text": "Question 59\n \n \nThe number of distinct minimum-weight spanning trees of the following graph is ________.\n[Data Structure, Graph]\n\n3\nb\nc\n2\n2\n1\n1\n2\n2\ng\na\nd\n2\n2\n1\n1\ne\nf\n3", - "answer_text": "(9 to 9) \n \nSol.\nb\nc\n1\n1\ng\na\nd\n1\n1\ne\nf\n\n3 choice\n3 choice\nNo. of MST \n1\n1\n3\n3\nC\nC\n\uf03d\n\uf0b4\n3 3\n9\n\uf03d\uf0b4\uf03d\nHence, the correct answer is 9.", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:7036c0b062e8d07cb2ebc5aae3c05713bca22554769edc7c59fb53a7ffc83d61 +size 764 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/59/q.webp b/frontend/public/assets/gate/cs/questions/2024-N/59/q.webp index b13b79f48df399626b6a52601a22557254811ca9..09bda175646bc7b44ae019d1cb0d05a79c0ddb43 100644 GIT binary patch literal 129 zcmWN?NfN>!5CFh?Ucm6m*{Jqd`Nj8>-K28|L-5# z^L$D^YnGSZ<|u+Y8V?5qOby8;DA7``*oux=O>N}BQ&c8E&YrYt)+y8}6QB!$k}alr Mv+?*=0Wrnx2k~+z{{R30 literal 6898 zcmVA{fqW1&ELa* zMf!L3&)HAwKeQa``b*5e<9}Gb>-~%N$NS&!N5CKBzo_`P@Vof`P%p+mlmCAH(ffV< zlhlu9E`$EZ&==G1n17W1@BSzL@AvO&PgVZc`8n<{`U_vN?v zpZ{Mq|4#p5;&1kk^4`Ed$bY4Og8tY0Z~j~V|Jo<+|LniP|Ec|X_Hp?q_n-LxztidIy2z;SPKmhQvs=z+p06Z+JnZ`Z{9Z>kVk&-{sR2W ze(0a2l-Ah(yn7DDx%k2|*Bp{?orI#P8I#}L+3bfJY9ixfNbMgBALSTl!;JCuogxO_ 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geological feature. \n \nR \n: \nThe natural process of the cooling of this massive edifice absorbed large quantities of atmospheric \ncarbon dioxide, altering the earth's atmosphere and making it better suited for life. \n \nS \n: \nMany millennia ago. a breakaway chunk of bedrock from the Antarctic Plate collided with the \nmassive Eurasian Plate. \n \n(A) QPSR \n(B) QSPR \n \n(C) SPRQ \n(D) SRPQ \nAns. \n(C) \nSol.\n \nThe correct sequence is (\nC\n) SPRQ. It begins with the explanation (s) of the fortuitous geological event \nwhere a chunk of bedrock collided, followed by the geophysicists perspective \n(\ud835\udc43)\n of the Himalayas as an\n\nPAGE\n5\n\nactive geological event then, it discusses the natural process of cooling (\nR\n) and concludes with the impact \non the earth's atmosphere (\nQ\n) . Providing a coherent flow of geological events.\nHence, the correct option is (C).", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:26ed686f932912f84ab22554281d7a2241c3af669312bcc02541a5091f3a20a2 +size 1521 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/6/q.webp b/frontend/public/assets/gate/cs/questions/2024-N/6/q.webp index 4769bd2535bc316f20362dfecdd769a1249b3405..978bf8bc3265fd3e41f092aa5bb148c77e7c3be0 100644 GIT binary patch literal 130 zcmWN`I}*Ym5CG7gQ*Z&p@`v08mPMFR$p}f|=}q;DchPtD@!@T)W9~vc`+B_U+-}>M zHym#<4?=NCHhST+C1u@S10|ar*sLRgc7)#E5vsQ)p)JuT0;LctU_sC-=3=x5bh0|1 NBAfk3+(;z@`vdgFCyW39 literal 41218 zcmV(}K+wNZNk&Hcpa1|@MM6+kP&gp&pa1}{ivgVhDr5qM0X|V8jzuG)A(Sc(2si}< zvbTNtE*ZHruA)(Uvrm-a1X!k*`@Zj(|J2`t{MPp1i-@4xhe{%lS`;Gm_(Z9!kPX6ir&-PRO5AR>t zFXA7@|E&LE{k8tZ@h9?svOncK4D)aEpXdL_djk4p@?Y>@+W)?P)&C9c7wDhbzpH-B z|5yL>@{i*`&_Aw!g8h~L+5i9j=jaddU*x~ozp{SI|8oET|0C)j>i_3Ivwi>jBK=GI 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He made 10% profit in one item, and 10% loss in \nthe other item. In selling these two items, the person made a total of \n[\nNumerical Ability, 2]\n \n \n(A) 1% profit \n(B) 2% profit \n \n(C) 1% loss \n(D) 2% loss \nAns. \n(C) \nSol.\n \nCommon selling price = '\ns\n' each\none at profit \n= \ud835\udc5d%\nanother at Loss \n= \ud835\udc5d%\n\ud835\udc5d\n2\nthen overall Loss% =\n (\n100\n) %\nhere \n\ud835\udc5d= 10\n(10)\n2\nLoss \n% = (\n100\n \n) % = 1%\n Loss\nHence, the correct option is (C).", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:4cde62c5613233eb359c5ae9e023761801386415a79b2caa1d9517e19b9661af +size 784 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/7/q.webp b/frontend/public/assets/gate/cs/questions/2024-N/7/q.webp index 113c90cb141eef20d14647c0a73c9e44dabe4e39..fdf9747eed2d73a66ef8ba40f060ead1481b1a21 100644 GIT binary patch literal 130 zcmWN?K@x)?3;@78ukZsE5>&+Bgd|jE+UhjaLto$SWiNeOJ6^-y`)Ql^_ttNZYUBU? 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z-$6MpF<^(+{3yH2V@~~GW%#$m$c-5@qG57$rmAc$M}e^_yD02A=x##3Du2Bee^W%8RufKpCih)02fB(IUeBta97l zT^_yF!$oYuoW^iU^>YSocyiPek%FUo<+-@g7jj0_WU+{@ypeHwdA?n8pi+N$oEr3i z24r7$i|oSM+X8(Zz@sUi>pT@jv?Wp9yoO5J&Xy4IuueIt8z-8Y z7BR#wSp!+Gg_9421XDdFG$=_I2v~DK_)|va{K=kitW6Z04Z%+(w^X$&9nB~-=bz9F zBy$~(lkwb2&L_TBRywsh2R8^asx>(}XmaZY%G2oKWR9N(l;}wJ%MT1H7mVT@d1bdE zq@1*%l_EZ_sD}dEWpgRjZbS1PwYpu97uzQOZ*o4fofzm2A4&wfa%wOSv!O!B6UFIC$B-#F;Z}Uu&k>XLBM5pWB2Ns8v$9{UaY7JjQ!h0vv>MF3=BY zQ>3{6Y}>dacIa#OaTh}0#&>DD+7uf{+P!n&FntX>$^~>EL^Xu%VwmdJh4_p^^(*RpvA>k=&6ug_`ISNHmOWd&2cpjn*)U^xuUNwN=3LYiFy6A`dyXcgE-d d001&R9=_4Q(&l1yRbu{39Iv#O6Wt&}007X%q5=Q_ From fd2fac11c15ea76c1d394b2628d1b03f97728981 Mon Sep 17 00:00:00 2001 From: kunalbhardwaj2006 Date: Thu, 5 Mar 2026 09:39:16 -0500 Subject: [PATCH 2/7] docs: add module docstring to pdf_utils --- generator/src/pdf_utils.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/generator/src/pdf_utils.py b/generator/src/pdf_utils.py index c2e6a8a..66b6bc4 100644 --- a/generator/src/pdf_utils.py +++ b/generator/src/pdf_utils.py @@ -30,7 +30,7 @@ def process_syllabus(stream_code, filepath, con=None): We will keep the heuristic logic here as a fallback or pre-processor if needed, but modern flow uses LLM. """ - logger.info(f"Processing Syllabus: {filepath}") + logger.info(f"Processing syllabus PDF: {filepath}") doc = fitz.open(filepath) text = "" for page in doc: @@ -86,14 +86,14 @@ def process_stream(stream_code): def process_pdf(stream, filepath): fname = os.path.basename(filepath) - packet_id = os.path.splitext(fname)[0] # e.g. "2021-M" - + packet_id = os.path.splitext(fname)[0] + year = "Unknown" match_year = re.search(r'(\d{4})', packet_id) if match_year: year = match_year.group(1) - - logger.info(f"Processing PDF {packet_id} (Year: {year})") + + logger.info(f"Processing PDF packet {packet_id} for year {year}") doc = fitz.open(filepath) @@ -235,7 +235,7 @@ def save_question_data(stream, packet_id, year, q_data, doc): except Exception as e: logger.error(f"Failed to write data json for {q_id_str}: {e}") - logger.info(f"Saved Question {q_id_str}") + logger.info(f"Saved question {q_id_str}") def create_stitched_image(doc, rects_info, output_path): if not rects_info: return From 1cb6cd93db40be447bca9b9bdc87bad1cac4d922 Mon Sep 17 00:00:00 2001 From: kunalbhardwaj2006 Date: Fri, 20 Mar 2026 01:35:55 -0400 Subject: [PATCH 3/7] feat: implement async batching for LLM classification to improve pipeline performance --- LibrEd | 1 + .../questions/2021/1/data.json | 3 + .../questions/2021/1/exp.webp | 3 + .../questions/2021/1/q.webp | 3 + .../questions/2021/10/data.json | 3 + .../questions/2021/10/exp.webp | 3 + .../questions/2021/10/q.webp | 3 + .../questions/2021/11/data.json | 3 + .../questions/2021/11/exp.webp | 3 + .../questions/2021/11/q.webp | 3 + .../questions/2021/12/data.json | 3 + .../questions/2021/12/exp.webp | 3 + .../questions/2021/12/q.webp | 3 + .../questions/2021/13/data.json | 3 + .../questions/2021/13/exp.webp | 3 + .../questions/2021/13/q.webp | 3 + .../questions/2021/14/data.json | 3 + .../questions/2021/14/exp.webp | 3 + .../questions/2021/14/q.webp | 3 + .../questions/2021/15/data.json | 3 + .../questions/2021/15/exp.webp | 3 + 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-1,11 +1,3 @@ -{ - "id": "10", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "MCQ", - "key": "", - "question_text": "Question 10 \n \n \n \n \n \n \n \nMCQ (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251567 \n \nConsider the following ANSI C program.\n \n \n \n#include \n \n \n \nint main()\n \n \n \n{\n \n \n \n \nint i , j,count;\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n11\n\ncount=0;\n \n \n \n \ni=0;\n \n \n \n \nfor(j=-3;j<=3;j++) \n \n \n \n{ \n \n \n \n \n \nif(j >= 0)&&(i++))\n \n \n \n \n \ncount=count+j;\n \n \n \n \n}\n \n \n \n \ncount=count+i;\n \n \n \n \nprintf(\"%d\",count);\n \n \n \n \nreturn 0;\n \n \n \n} \n \nWhich one of the following options is correct?\n \n \n(A) The program will compile successfully and output 8 when executed. \n \n(B) The program will not compile successfully.\n \n \n(C) The program will compile successfully and output 10 when executed. \n \n(D) The program will compile successfully and output 13 when executed. \nAns. C \nSol. \nFor \n3 to \n1\nj\nj\n= \u2212\n= \u2212\nIf \n((\n00) & &(\n))\nj\ni\n>\n+ +\n will result in false\nHence neither \nI\n nor count null change, count = 0, \n0\ni\n =\nFor \n0\nj\n\u2212=\n \n(\n0)\nj\n >=\n result in TRUE hence \ni\n + +\n will execute\n1\nj\n =\n \n(\n0) & &(\n)\nj\ni\n>=\n+ + =\n TRUE\nHence, count\n0 1 1\n=\n+ =\n and \ni\n + +\n2\nj\n =\n \n(\n0) & &(\n)\nj\ni\n>=\n+ + =\n TRUE\nHence count\n1 2\n3\n= +\n=\n and \ni\n + +\n3\nj\n =\n \n(\n0) & &(\n)\nj\ni\n\u2265=\n+ + =\n TRUE\nHence, count\n3 3\n6\n= + =\n and \ni\n + +\nAfter exiting loop\nCount \n=\n count\n i\n+\n6\n4\n10\n=\n+\n=", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:b925ea9e50e1fd146caa27f976d2c0de43b61384c257da0f9fc55c6e26171e7b +size 1756 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/10/exp.webp b/frontend/public/assets/gate/cs/questions/2021-M/10/exp.webp index 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"question_text": "Question 11 \n \n \n \n \n \n \n \nNAT (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251551 \n \nConsider the following sequence of operations on an empty stack.\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n12\n\npush(54); push(52): pop(); push(55); push(62); s = pop(); \n \nConsider the following sequence of operations on an empty queue. \n \n \nenqueue(21); enqueue (24); dequeue(); enqueue(28); enqueue(32): q = dequeue(); \n \nThe value of s +q is ________. \nAns. \n86 \nSol.\n \ns\n =\npop() will return top of stack value, i.e. \n \n \n \n62\ns\n =\nq\n =\ndequeue () will return head of queue value\n24\nq\n =\n9\n62\n24\n86\ns\n +\n=\n+\n=", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:8a2e7f753f2dc4e5968fa96b004d9ad593ecf20ac4c16454ef44c5d3eb70fab5 +size 879 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/11/exp.webp 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said to be circular if aRb and bRc together imply cRa. Which of the following options \nis/are correct? \n \n(A) If a relation S is transitive and circular, then S is an equivalence relation. \n \n(B) If a relation S is reflexive and circular, then S is an equivalence relation. \n \n(C) If a relation S is circular and symmetric, then S is an equivalence relation. \n \n(D) If a relation S is reflexive and symmetric, then S is an equivalence relation. \nAns. \nB \nSol.\n \nIf S is reflexive and cyclic then S will be equivalence relation.\nProof: S is reflexive there for element a,b,c (a,a), (b,b), (c,c) belongs to S\nIf (a,b) belongs to S then (b,a) must belong to S, as (a,b) and (b,b) belongs to S therefore, S is \nsymmetric.\nIf (a,b) and (b,c) belongs to S then because its cyclic (c,a) must belong to S and S is symmetric too, \nhence (a,c) also belongs to S and S is Equivalence Relation", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:52ff7d4e39a2901c50e32afd1dec4f908a216120a8ec64bc2cffce2550e991e4 +size 1208 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/12/q.webp b/frontend/public/assets/gate/cs/questions/2021-M/12/q.webp index f98f9e6b83b9fe1799c9234e9bc0dad850d4ea6d..3c366fac62b3b12f4751af84c9e0f975343f6a67 100644 GIT binary patch literal 130 zcmWN`K@!3s3_#I+Pr(H&Gyy_;8-yUtsB{c=;pydX-r`^Uk=Ea;j&aJN^`nj3v&cHF z-}{>SOUubgU)$1KR#GE4e`FUBH|G<0wt&P`urL%rL)lW8Z=Z4U;CGKUM=%7@l)x5? 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\nQuestion ID : 823251576 \n \nConsider the following pseudocode, where S is a semaphore initialized to 5 in line#2 and counter is a \nshared variable initialized to 0 in line#1. Assume that the increment operation in line#7 is not atomic. \n \n1. int counter = 0; \n \n2. Semaphore S = init(5); \n \n3. void parop(void) \n \n4. { \n \n5. wait(S); \n \n6. wait(S); \n \n7. counter++;\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n13\n\n8. signal(S); \n \n9. signal(S); \n \n10. } \n \nIf live threads execute the function parop concurrently, which of the following program behavior(s) \nis/are possible? \n \n(A) The value of counter is 0 after all the threads successfully complete the execution of parop. \n \n(B) The value of counter is 1 after all the threads successfully complete the execution of parop. \n \n(C) There is a deadlock involving all the threads. \n \n(D) The value of counter is 5 after all the threads successfully complete the execution of parop. \nAns. \nB, C, D", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:a7102d1256cdf84def299d971dc0e43db2ef119793b83e63ab68df9bd062495f +size 1226 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/13/q.webp b/frontend/public/assets/gate/cs/questions/2021-M/13/q.webp index b54e3cc34ee27ba2ad6856bb9cb4af45b75ba7e1..773e57f0ac8f5b1a24a854fb65ff98af6aff1d5b 100644 GIT binary patch literal 130 zcmWN^$q~aK3;@8ttDu3HLl%d-K_CZalHdv0k5nICJA3oD*Y*)*jI-}jKI?eAj=oOI zMQdtr*-uXL)=R5d^b!r)J!zjk14Mr$r5us6^OndM0175?fH}mN&;_1o N_0sE)1%R_=`2+k)C%*sy literal 34234 zcmY(KLy#_jl4i@cam%)C+x9Knwr$(CZJW1j+xFkDduAf0S103($P>B9T&A*=xOh`2 z5RitLu%fymCt=xt>I8G(TwrPwkZfRnCE|E7k|HA1$|t6a(K` zF9xRH;I0tXcf=X{OTUk_wFiM{&(;b=>O5J1-0RDe$WQ%uztLWf|B82zUp}DqxA!M~ z3w8za*8PZMp#H*O2XN-^{bm3_|Be39==5K&|1>z~2NH<(X9sj&PXi#=lfO7V=l|ZF z7_9f7dTjwN0dn`jKjGhi>$?H>XT%4KHA&vXB}`-m6rkM?!^s(-D&C%EzN`n~bN`|*A( z{)Q|9B>I*9G(SFltxYf-3XB4(0Vcm!zgwSgclN6q1cm@47{-}S;zu7zP-vNXJ008?3*w?#P|9$@{z$1X^ zKSBS9|D=Bhpc#PtYYfnM&j$d$`vv>s0Nen+pZ4$m-~5OF*nfVe{7=3CA4gv_0F@`e z`Sgqbuf!SP`=7TLoKhXo=R)-E>s(+gM?s_$$GlP=@Ycnk3CypXEdzn>Uz!@7dAt=L zP^*-byjHAGN&QA{07S<<9F3p`R2)IaXsT`(VxmZ z&54IZi8X%|RB>qdJJ9bfh8Y~xIyC{?4LxEXG zzV`YFtyL8_HpDd_itg2ffg5#{uRcVpp#mV!sWpmv-dPcI_~+CLq5O$~W1$QlSfmGY zZO3I5NWS1#m81%ioJ9%D2x_moGkscNqgI7<2a-bDsvASHb_3s#XpG0zhRgR`L0$u< zo!WC)XF4y_S*_axCe}CCo>ZCq% zu7Pn{(PAzffy;=+Z`nn$=D#EyizGQdjSaa4cV0!L3I*n$=CLcdhs3ds-hga{PWfsjOgW@(&}$Ll zR~@9ZMEL`fg(^iV?D7J!AIgFBJp0?aqkzQS8LXi*3Fp6xIxq~AoY#}edR`EltZRZj zmQes2O496>qjz=c+I-&whu4?~w4}gHY@3Wl)!N8ZV{(1=sF|S&G`f~r5LXL@0o^eF z(%rDU63KsA_hVxh3stmD6a`5&I= zyZ^y$jFtetIFn?)M9e4&6|Q_V=*h;!%Y&2{8Cr_6l9cH6t}YEDx*hE^d)6rHnY3 zhCAd$mj|NLGIX>pO-uic=Dp<=sP5w7a*03&96^=K7ce=fgp;us3HT1R9YzhR`jiLV zvObkjC#NjHHuY@=P4e?+7or=^uH>(tbnbJOIEhe07CKkd+ugM(Tx`F29Lhy5F=K9% z06wo%HFTU1`T1+HKkRai?@?2B@B5yE&-n)D-yVomf|&a=8cs%ZHF?l4Ng4M{+6fV2 zRV>sUXnst`w0cnN;<%3+>RhRbg>=#i?_Y~`tIqC!L$3XL-w{o{r$gqkE0<9sVsKdx zd%;dW8f)~J8sx+ib$*KzbOM9;E%CmE-X16yg7n1{wMZ8uK~6gNmm6y#r!B{eH6s4N zf;tMFVhyTrj|es7bS~dlUn+XP^fIK4G4AZ^V*^w&!Fm@34_pilw?Y2=ks-sm+JJ{` zykaqD#m^~aJrw!URK|?MozmC6<*^ni`q}N-`HWR6*#`HU z^kf4u*)%vC6frm(bns_LrwlLT6UQ^QQ>7RaAu9{Ry^bQS2qtP={H)1!_zd95KnG4( zJbXw;Q<4%A9+ST4SE&;H;NPIx9o;W33vm>RtJ%|D;r&6{s3Hyhq}bW(2@`(!n{n-= z5ph!*g|p*f{dJYdS-)LV9yZFCiP(*DJ|$-V9jTTOHp{J!g?QegQ0t&9DATUi1v?;x zUSyuTia=Fb8YgOFRNT%<)c^03Lrzh-O;uXtcs#BBJP63yn|zsmFsiqE_2@X1HC2@EfGr`jJEPDfcdro(XSBX;#Kh+6?qbc<1oqYm>{D! zn&>Tl&|dh6#`9LYx+VfnU0U%N(`PH(B(;0wRue$?E9K^N+?`|?19{xro#kGc$G?96 z!$zRgVp_(^>jl#Z-VN1m#%Wn}k|K57#)q9Y3QI4*`jmum4GW$6YGp|vE5{bJ0T8@h zLr!NEJ;;yPYyCR3LC6!7Ym;m{ar}#|d{#Ke9F;U}aeH|o$$iSEXjczSc}(O^;<(YZ z1j!7qsCFK9KAQX(S?+~V=KTRR&;w4re*~ZPBV&Eo)-AuB^!toJRjq{)+-SeLo~{H6 z!GGA2b_QH9>D;=m7G@>4Pp9NH`Ntd=BYH}`%T@f|!pcGm`PSv8ZB=9^ z1*T<7L-;WsbUPPDy5%I_Qbr8Dv6PJNy1U^9)c&0?5oN*U$;syCb zgD=aPLag_l;BEa7aF%Uc!ksZ1S`Z>%PLbPl7CDN9pABi>zA=B`kRdaw$OMB{Wg|^9 z(FX$rZo-6F5{P>%<%A5NNztM5u?%dJorB~&f6HhmEoa^PcJvew!Ji1ebnJ_IA%;c; z&p1ME)EFc3KRG~5W9d?1Jx@5r;v%8KJM81Ax7oVrG}RcZWgXm?dA6QB)~0)g>(elm zs_M>MrGyg=F5(&Dty`*3Q+xWfrt3?w`^6Iv#9APxw8DIml~-(z@_6`W_Safr9^z^Y zu}Ps4^-;C}yqRZsH-r2`k3cEh2-#f69;%+!k2&(A4i8Dm4Mk7b6B1je#&#ZT;o!L$ z{eFyxv&BQ@yd3CH|9j);y!4bif~a*^i<*2eNdE@y4n%ps^kg!*3H;nKU7at^ND9k{ zoMuSirUPgS;o_=h%g_U~wFp)evUY)pr7DSIYS#<@p}QqjHLJNpL5uFU=e8i4_;YG}S$2EGoBtEARKM;Mlb4{37e0ylsI%^r z8opyNuU`9nd#lq_o(se)?SE*9Wqy`8+9={5vF>gS^{FZP&VW5M;UhM9A2q}HH$9gl zXsL#3ZbTfHu)Z-Bmo&AdG~?-0TWQhLJRA)_0cWJ7C8@%Iegkv0EuT;*Cpd5sn3qa{ z%0x$BYP0iXR*BU6mMC0dwT-HCX5#^}&adN91e!!%{7-l|G#Xxvsl?9v%Vl5n;7^82 z;yj1S7;@r7>>Oh$ORL_B8%MH;8Uh@z_Sn`ia8(brJiWAsXg@ zKvQ>s-n1X_wVy=jmFg>xfSd-#@Oxn9-3!-VPXOZ(x?T)jgDhN%td|)JUg3$_H-=!F zuk;HOPeAvigWb_Lo~e$EL+qbce8X-AE_V|0JZ+zU&g9MbF7#>6m=O%;R0vf+1RhA+ z7x;(!Ph2R*dyplHUgSlq!xG%Oje84{8qPRJ7hZp>2fO*Q9@AR5L4XoYmvgR{u4ej( z+{u9SVKG`qtt&a$#FVgV2_PwM(RMwUxHXBPRLMKOXuL+L3Ml6C!z?tUPNdI@;!2EW^B&X>3%dxk3ZvnQ9|rKK^jS?F;=vYzzNI? 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memory location of X. Assume memory is byte addressable\nInstruction \nSemantics \nInstruction size (bytes)\nMOV R1 (5000) \nR1\n\u2190\n M[5000] \n4\nMOV R2 (R3) \nR2\n\u2190\n M[R3] \n4\nADD R2,R1 \nR2\n\u2190\nR1+R2 \n2\nMOV(R3) \nM[R3]\n\u2190\n R2 \n4\nINC R3 \nR3\n\u2190\n R3+1 \n2\nDEC R1 \nR1\n\u2190\n R1-1\n \n2\nBNEZ 1004 \nBranch if non zero to \nthe absolute address \n2\nHALT \nStop \n1\nAssume that the content of the memory location 5000 is 10 and the content of the register R3 is 3000. \nThe content of each of the memory locations from 3000 to 3010 is 50. The instruction sequence starts \nfrom the memory location 1000. All the numbers arc in decimal format. Assume that the memory is byte \naddressable. \nAfter the execution of the program, the content of memory location 3010 is _______. \nAns. \n50\n \nQuestion 15 \n \n \n \n \n \n \n \nMCQ (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251536 \n \nLet the representation of a number in base 3 be 210. What is the hexadecimal representation of the \nnumber? \n \n(A) D2 \n(B) 528 \n(C) 21 \n(D) 15 \nAns. \nD\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n14\n", - "answer_text": "", - "explanation_text": "Sol.\n \nCorrect the given number representation \ndecimal\n representation\n3\n10\n(210)\n(?)\n\u2192\n2\n1\n0\n2 3\n1 3\n0 3\n\u00d7\n+ \u00d7\n+ \u00d7\n10\n18 3\n(21)\n+ =\nNow convert decimal representation into hexadecimal representation\n10\n16\n(21)\n(?)\n\u2192\n16\n21\n1\n5\n\n16\n(15)\nHence, the correct option is (D)" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:c00bd032c22f43fad4fab70e8f6bc8e2187a0d88002db400df3e18860b89578a +size 1908 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/14/exp.webp b/frontend/public/assets/gate/cs/questions/2021-M/14/exp.webp index f32d7f8b142553a0b592f336e0d007f59dcdda0a..1420eadc9302319c6f0ab106df7486cf30394f39 100644 GIT binary patch literal 129 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d7853f9..22fec86 100644 --- a/frontend/public/assets/gate/cs/questions/2021-M/17/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-M/17/data.json @@ -1,11 +1,3 @@ -{ - "id": "17", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "MSQ", - "key": "A, B, C \nSol. \nGiven :\n(\n)(\n)(\n)\nF\nx\ny\nz x\ny y\nz\n=\n+\n+\n+\n+\n(0,2,4,5,6)\nF\nm\n= \u03c0\n(1,3,7)\nF\nm\n= \u03c0\n(0,2,4,5,6)\nF\nm\n=\n \uf0e5\n(A) \nxy\nyz\nxyz\n+\n+\n(0,2,4,5,6)\nm\n\uf0e5\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n16\n\nIt is correct\n(B) \n(\n)(\n)\nx\nz\ny\nz\n+\n+\n(1,3,7)\nm\n\u03c0\nIt is correct\n(C) \nxy\nz\n+\n(0,2,4,5,6)\nm\n\uf0e5\nIt is correct\n(D) \n(\n)(\n)(\n)\nx\ny\nz x\ny\ny\nz\n+\n+\n+\n+\n(1,3,2)\nm\n\u03c0\nIt is incorrect", - "question_text": "Question 17 \n \n \n \n \n \n \n \nMSQ (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251572 \n \nConsider the following Boolean expression.\n(\n)\n(\n)(\n)\nF\nX\nY\nZ\nX\nY\nY\nZ\n=\n+\n+\n+\n+\nWhich of the following Boolean expressions is/are equivalent to \nF\n (complement of \nF\n)?\n(A) \nXY\nYZ\nXYZ\n+\n+\n \n \n(B) \n(\n)(\n)\nX\nZ\nY\nZ\n+\n+\n(C) \nXY\nZ\n+\n \n \n \n(D) \n(\n)(\n)(\n)\nX\nY\nZ\nX\nY\nY\nZ\n+\n+\n+\n+", - "answer_text": "A, B, C \nSol. \nGiven :\n(\n)(\n)(\n)\nF\nx\ny\nz x\ny y\nz\n=\n+\n+\n+\n+\n(0,2,4,5,6)\nF\nm\n= \u03c0\n(1,3,7)\nF\nm\n= \u03c0\n(0,2,4,5,6)\nF\nm\n=\n \uf0e5\n(A) \nxy\nyz\nxyz\n+\n+\n(0,2,4,5,6)\nm\n\uf0e5\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n16\n\nIt is correct\n(B) \n(\n)(\n)\nx\nz\ny\nz\n+\n+\n(1,3,7)\nm\n\u03c0\nIt is correct\n(C) \nxy\nz\n+\n(0,2,4,5,6)\nm\n\uf0e5\nIt is correct\n(D) \n(\n)(\n)(\n)\nx\ny\nz x\ny\ny\nz\n+\n+\n+\n+\n(1,3,2)\nm\n\u03c0\nIt is incorrect", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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b/frontend/public/assets/gate/cs/questions/2021-M/19/data.json index 24505da..dc62743 100644 --- a/frontend/public/assets/gate/cs/questions/2021-M/19/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-M/19/data.json @@ -1,11 +1,3 @@ -{ - "id": "19", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "MCQ", - "key": "B\n \nQuestion 20 \n \n \n \n \n \n \n \nMSQ (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251575 \n \nConsider two hosts P and Q connected through a router R. The maximum transfer unit (MTU) value of \nthe link between P and R is 1500 bytes, and between R and Q is 820 bytes. \n \nA TCP segment of size 1400 bytes was transferred from P to Q through R, with IP identification value \nas 0x1234. Assume that the IP header size is 20 bytes. Further, the packet is allowed to be fragmented, \ni.e., Don't Fragment (DF) flag in the IP header is not set by P. \n \nWhich of the following statements is/are correct? \n \n(A) TCP destination port can be determined by analysing only the second fragment. \n \n(B) Two fragments are created at R and the IP datagram size carrying the second fragment is 620 bytes. \n \n(C) If the second fragment is lost, R will resend the fragment with the IP identification value 0x1234. \n \n(D) If the second fragment is lost, P is required to resend the whole TCP segment. \n \nB, D", - "question_text": "Question 19 \n \n \n \n \n \n \n \nMCQ (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251531\nSuppose that \n1\nL\n is regular language and \n2\nL\n is context free language. Which one of the following\nlanguage is NOT necessarily contexts free?\n(A) \n1\n2\nL\nL\n\u222a\n \n(B) \n1\n2\nL\nL\n\u2212\n \n(C) \n1\n2\nL\nL\n\u2229\n \n(D) \n1\n2\n.\nL L", - "answer_text": "B\n \nQuestion 20 \n \n \n \n \n \n \n \nMSQ (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251575 \n \nConsider two hosts P and Q connected through a router R. The maximum transfer unit (MTU) value of \nthe link between P and R is 1500 bytes, and between R and Q is 820 bytes. \n \nA TCP segment of size 1400 bytes was transferred from P to Q through R, with IP identification value \nas 0x1234. Assume that the IP header size is 20 bytes. Further, the packet is allowed to be fragmented, \ni.e., Don't Fragment (DF) flag in the IP header is not set by P. \n \nWhich of the following statements is/are correct? \n \n(A) TCP destination port can be determined by analysing only the second fragment. \n \n(B) Two fragments are created at R and the IP datagram size carrying the second fragment is 620 bytes. \n \n(C) If the second fragment is lost, R will resend the fragment with the IP identification value 0x1234. \n \n(D) If the second fragment is lost, P is required to resend the whole TCP segment. \n \nB, D", - "explanation_text": "Sol.\n \nThe Fragmentation will be taking place at R router only. First Fragment will be of 820 B of which 800B \nwill be the data, total data size was 1400 B, therefore 2\nnd\n fragment will of size 1400-800 +20(IP Header) \n= 620 B\nIf any fragment get lost, complete data is sent again by the Transport Layer \nQuestion 21 \n \n \n \n \n \n \n \nMCQ (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251568 \n \nConsider the following language \n \nL\n = {\n w\n\u2208\n{0,1}*| \nw\n ends with the substring 011} \n \nWhich of the following deterministic finite automata represents the given language\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n18\n\n0\n1\n1\n0\n1\n1\n0\nq\n1\nq\n2\nq\n3\nq\n0\n0\n(A)\n0,1\n1\n0\n0\n1\n1\n0\nq\n1\nq\n2\nq\n3\nq\n0\n(B)\n0\n1\n1\n0\n1\n1\n0\nq\n1\nq\n2\nq\n3\nq\n0\n0\n(C)\n0\n0\n1\n0\n1\n1\n0\nq\n1\nq\n2\nq\n3\nq\n0\n1\n(D) \n \nAns.\n \nD\n \nQuestion 22 \n \n \n \n \n \n \n \nMSQ (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251571 \n \nAn articulation point in a connected graph is a vertex such that removing the vertex and its incident \nedges disconnects the graph into two or more connected components. \n Let T be a DFS tree obtained by doing DFS in a connected undirected graph G. Which of the following \noptions in/are correct. \n(A) Root of T can never be an articulation point in G. \n(B) A leaf of T can be an articulation point in G. \n(C) If u is an articulation point in G such that x is an ancestor of u and y is a descendent of v in T then \nall paths from x to y in G must pass through u \n(D) Root of T is an articulation point in G, if and only if it has 2 or more children. \nAns.\n \nD\n \nQuestion 23 \n \n \n \n \n \n \n \nNAT (2M) \n \n \n \n \n \n \n \n \nQuestion ID : 823251582 \n \nConsider the following matrix.\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n19\n\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0eb\n\uf0fb\n0\n1\n1\n1\n1\n0\n1\n1\n1\n1\n0\n1\n1\n1\n1\n0\n\n\nThe largest eigenvalue of the matrix is_____. \nAns. \n3 \nSol. \nGiven :\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n=\n \uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0eb\n\uf0fb\n\u2212\u03bb\n=\n0\n1\n1\n1\n1\n0\n1\n1\n[A]\n1\n1\n0\n1\n1\n1\n1\n0\n\n\n| A\nI |\n0\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n=\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0eb\n\uf0fb\n0\n1\n1\n1\n1\n0\n1\n1\n0\n1\n1\n0\n1\n1\n1\n1\n0\n\nR\nR\nR\n\u2192\n\u2212\n1\n1\n2\nR\nR\nR\n\nApplying\n\u2192\n\u2212\n2\n2\n3\nR\nR\nR\n\u2192\n\u2212\n3\n3\n4\n\u2212\u03bb \u2212\n+ \u03bb\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\n\u2212\u03bb \u2212\n+ \u03bb\n\uf0ea\n\uf0fa\n=\n\uf0ea\n\uf0fa\n\u2212\u03bb \u2212\n+ \u03bb\n\uf0ea\n\uf0fa\n\u2212\u03bb\n\uf0eb\n\uf0fb\n1\n1\n0\n0\n0\n1\n1\n0\n0\n0\n0\n1 1\n1\n1\n1\n\n\n\u2212\u03bb \u2212\n+ \u03bb\n+ \u03bb\n\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\u2212\u03bb \u2212\n\u2212\u03bb \u2212\n+ \u03bb \u2212\n+ \u03bb\n\u2212\u03bb \u2212\n+ \u03bb =\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\u2212\u03bb\n\u2212\u03bb\n\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\n1 1\n0\n0 1\n0\n(\n1)\n0\n1 1\n(1\n) 0\n1 1\n0\n\n\n1\n1\n1\n1\n\u2212\u03bb \u2212\n+ \u03bb\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\n\u2212\u03bb \u2212\n\u2212\u03bb \u2212\n+ \u03bb\n=\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\u2212\u03bb\n\uf0eb\n\uf0fb\n(\n1) 2(1\n)\n0\n(\n1)\n0\n2(\n1) 2(1\n)\n0\n\n2\n2\n2\n{\n}\n(\n)\n{\n}\n2\n2\n(1\n) (\n1) 4(\n)\n4(1\n)\n2 4 1\n0\n\uf0e9\n\uf0f9\n+ \u03bb\n\u2212\u03bb \u2212\n\u03bb + \u03bb\n\u2212\n+ \u03bb\n+\n+ \u03bb\n=\n\uf0eb\n\uf0fb\n(\n)\n2\n2\n(1\n) (\n1)4(\n1)\n8 1\n0\n\uf0e9\n\uf0f9\n+ \u03bb\n\u2212\u03bb \u2212\n\u03bb \u2212\n+\n+ \u03bb\n=\n\uf0eb\n\uf0fb\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n20\n\n[\n]\n3\n(1\n)\n4(\n1)\n8\n0\n+ \u03bb\n\u2212\n\u03bb \u2212\n+\n=\n[\n]\n3\n(1\n) 12\n4\n0\n+ \u03bb\n\u2212\u03bb =\n+ \u03bb =\n\u03bb = \u2212\u2212\u2212\n\uf0fc\n\uf0fd\n\u2212\u03bb =\n\u03bb =\n\uf0fe\n1\n0\n1, 1, 1\n12\n4\n0\n3\nHence the maximum, engine value is 3." -} \ No newline at end of file +version 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c97c8fe..ce223a4 100644 --- a/frontend/public/assets/gate/cs/questions/2021-M/2/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-M/2/data.json @@ -1,11 +1,3 @@ -{ - "id": "2", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "NAT", - "key": "", - "question_text": "Question 2 \n \n \n \n \n \n \n \nNAT (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251580 \n \nConsider the following c code segments :\n;\na\nb c\n= +\n1;\ne\na\n=\n+\n;\nd\nb c\n= +\n1;\nf\nd\n=\n+\n;\ng\ne\nf\n= +\nIn a compiler, this code segment is represented internally as a directed acyclic graph (DAG). The \nnumber of nodes in the given DAG is _________. \nAns. \n6 \nSol. \nGiven code segment\n;\na\nb\nc\n=\n+\n1;\ne\na\n=\n+\n;\nd\nb\nc\n=\n+\n1;\nf\nd\n=\n+\n;\ng\ne\nf\n=\n+\n1\ne\nd\n= +\n+\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n7\n\n1\ne\nb\nc\n= + + +\n1\n1\na\nb\nc\n=\n+ + + +\n(\n1)\n(\n1)\nb\nc\nb\nc\n=\n+\n+\n+\n+\n+\nDAG\n\uf0de\n\uf02b\n\uf02b\n\uf02b\n1\nb\nc\n\n6 nodes\n=", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:d0ef9ab44a4320ee843ec780935ed99d8ac41eb757b611d5af3339a35f4cbff5 +size 955 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/2/q.webp b/frontend/public/assets/gate/cs/questions/2021-M/2/q.webp index 58f87f0748aaf9773892a61f53f0e57e5b0cb702..c7f08d4da93964886b3b3510c99443c70c692258 100644 GIT binary patch literal 130 zcmWN?!4bkB5CFhGRnUL|?%=?50|y8*Dj6YpSiSCNukx9Fyk%SKn7dMszHZMtxBu-- 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Consider the following two formulae in propositional logic.\n1\n \n:(\n(\n)\nS\np\np\nq\nq\n\u00ac \u2227\n\u2228\n\u2192\n2\n \n:\n(\n(\n))\nS\nq\np\np\nq\n\u2192\u00ac \u2227\n\u2228\n(A) Both \n1\nS\n and \n2\nS\n both are tautologies. \n(B) Neither \n1\nS\n nor \n2\nS\n is a tautology.\n(C) \n1\nS\n is not a tautology but \n2\nS\n is a tautology. (D) \n1\nS\n is a tautology but \n2\nS\n is not a tautology.", - "answer_text": "D", - "explanation_text": "Sol. \n1\nS\n : (p\u2019(p+q))\u2019 + q = (p\u2019p+p\u2019q)\u2019 + q = (p\u2019q)\u2019 + q = p + q\u2019 + q = 1 ( Tautology )\n2\nS\n : q\u2019 + (p\u2019(p+q)) = q\u2019 + (pp\u2019 + p\u2019q) = q\u2019 + p\u2019q = (q\u2019 + p\u2019)(q\u2019 + q) = q\u2019+p\u2019" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:40989aca4c2e07075ffe885bf875da7b0b385eec818f78f743db4b4a40addef5 +size 1046 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/24/exp.webp b/frontend/public/assets/gate/cs/questions/2021-M/24/exp.webp index 58650a1740d560d1059ce9f0d757cefe5c673998..ccd58edf5d6bf007239c925498bd5fbe46be252a 100644 GIT binary patch literal 129 zcmWN|I}*Ym5CG7gQ*Z$TEdSgFmPMFR$p}f|=}q;jchPtD@!@T)W9~vc`+B_U+-}>M zHym#<4?=M%HhST+C9rPK+SzJkGCmepOF+bGDFT#gRm>5&!^@Pyn3)Dr5pJ06tM9jzuG)Ar(2bcsK+B{%8EV|10iy=4Yc{Fb;PfU_9Wz(tnxuSLA`# 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zEok$ak4L)9F%bFYGl4@UYASd#MMn_O$=AR^QYaxrSrnSFo>%%;*Z5sYHdLDO!8&m<|>Q#BPZDRn_(La7os^O^lKL4!&-<`$VV9UpDf@#&hAh~3}fQ7=6kHnT0zsr zW@_R9d`B%=wFzjfxmGcb_HF(xbr0x#IHplwuAzmV0E0v0(w@nNSVcQe zaPU5DM}zRVezD{n5GxMRXr0_aio=F?lJNyfmz{fdU{*+Ek*$I6=Cr{;ZY`70YS!Pjx%T7 zCI;`4JnhIA*-M;+kiSf4&x*51diJ?qqkQr z?^1v?)(WQvtssr(33!!jI%JqfP%cHJXl9uB@Or2Bsf>^3f$B&VSUhW~!_F+SyZ`_I DOK|T2 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/26/data.json b/frontend/public/assets/gate/cs/questions/2021-M/26/data.json index fa4cfe0..9bd9421 100644 --- a/frontend/public/assets/gate/cs/questions/2021-M/26/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-M/26/data.json @@ -1,11 +1,3 @@ -{ - "id": "26", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "MCQ", - "key": "C \nSol.\n \nARP Request is broadcast and reply is always unicast \nQuestion 27 \n \n \n \n \n \n \n \nMCQ (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251561 \nConsider the following context - free grammar where the of terminals is{a,b,c,d,f}\nS\ndaT | Rf\n\u2192\nT\naS| baT |\nR\ncaTR |\n\n\u2192\n\u2208\n\u2192\n\u2208\nThe following is a partially filled LL(1) parse table________ \n \na \nb \nc \nd \nf \n$\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n22\n\nS \n \n \n(1) \nS\ndaT\n\u2192\n \n(2) \n \nT \nT\naS\n\u2192\n \nT\nbaT\n\u2192\n \n(3) \n \nT\n \u2192\u03b5\n \n(4) \nR \n \n \nR\ncaTR\n\u2192\n \nR\n \u2192\u03b5\n \n \n \nWhich one of the following choices represents the correct combination for the numbered cells in the \nparsing table (\"blank\"' denotes that the corresponding cell is empty)?\n(A) \n(1)\n(2)\n(3)\n(4)\nS\nRf\nS\nRf\nT\nT\n\u2192\n\u2192\n\u2192\u2208\n\u2192\u2208\n(B) \n(1)blank\n(2)\n(3)blank\n(4)blank\nS\nRf\n\u2192\n(C) \n(1)\n(2)blank\n(3)blank\n(4)\nS\nRf\nT\n\u2192\n\u2192\u2208\n(D) \n(1)blank\n(2)\n(3)\n(4)\nS\nRf\nT\nT\n\u2192\n\u2192\u2208\n\u2192\u2208\n A \nQuestion 28 \n \n \n \n \n \n \n \nMSQ (1M) \n \n \n \n \n \n \n \n \nQuestion ID : 823251541 \n \nIn the context of operating systems, which of the following statements is/are correct \nwith respect to paging? \n \n(A) Page size has no impact on internal fragmentation. \n \n(B) Paging incurs memory overheads. \n \n(C) Multi-level paging is necessary to support pages of different sizes. \n \n(D) Paging helps solve the issue of external fragmentation. \n \nB, D", - "question_text": "Question 26 \n \n \n \n \n \n \n \nMCQ (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251538 \n \n \nConsider the following two statements.\n1\nS\n : Destination MAC address of an AR P reply is a broadcast address.\n2\nS\n : Destination MAC address of an AR P request is a broadcast address.\nWhich one of the following choices is correct?\n(A) \n1\nS\n is true and \n2\nS\n is false. \n(B) Both \n1\nS\n and \n2\nS\n are true.\n(C) \n1\nS\n is false and \n2\nS\n is true. \n(D) Both \n1\nS\n and \n2\nS\n are false.", - "answer_text": "C \nSol.\n \nARP Request is broadcast and reply is always unicast \nQuestion 27 \n \n \n \n \n \n \n \nMCQ (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251561 \nConsider the following context - free grammar where the of terminals is{a,b,c,d,f}\nS\ndaT | Rf\n\u2192\nT\naS| baT |\nR\ncaTR |\n\n\u2192\n\u2208\n\u2192\n\u2208\nThe following is a partially filled LL(1) parse table________ \n \na \nb \nc \nd \nf \n$\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n22\n\nS \n \n \n(1) \nS\ndaT\n\u2192\n \n(2) \n \nT \nT\naS\n\u2192\n \nT\nbaT\n\u2192\n \n(3) \n \nT\n \u2192\u03b5\n \n(4) \nR \n \n \nR\ncaTR\n\u2192\n \nR\n \u2192\u03b5\n \n \n \nWhich one of the following choices represents the correct combination for the numbered cells in the \nparsing table (\"blank\"' denotes that the corresponding cell is empty)?\n(A) \n(1)\n(2)\n(3)\n(4)\nS\nRf\nS\nRf\nT\nT\n\u2192\n\u2192\n\u2192\u2208\n\u2192\u2208\n(B) \n(1)blank\n(2)\n(3)blank\n(4)blank\nS\nRf\n\u2192\n(C) \n(1)\n(2)blank\n(3)blank\n(4)\nS\nRf\nT\n\u2192\n\u2192\u2208\n(D) \n(1)blank\n(2)\n(3)\n(4)\nS\nRf\nT\nT\n\u2192\n\u2192\u2208\n\u2192\u2208\n A \nQuestion 28 \n \n \n \n \n \n \n \nMSQ (1M) \n \n \n \n \n \n \n \n \nQuestion ID : 823251541 \n \nIn the context of operating systems, which of the following statements is/are correct \nwith respect to paging? \n \n(A) Page size has no impact on internal fragmentation. \n \n(B) Paging incurs memory overheads. \n \n(C) Multi-level paging is necessary to support pages of different sizes. \n \n(D) Paging helps solve the issue of external fragmentation. \n \nB, D", - "explanation_text": "Sol. \nOption (A) \u2013 Incorrect\nOption (B) \u2013 Correct, since paging use page table and page table are stored in RAM\nOption (C) \u2013 Incorrect\nOption (D) \u2013 Correct because paging is non continuous memory allocation scheme." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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zvqaO6pw{pvi@2OUIFAoFtg}DIz!fb}JjC4he?I3VVlTYLJGE0Mz)v12K@i2#(b{93 zL?`V1`lo7^l?K^$X|n`KyL~r%NLP3^5HA7_@Te3_**!N znQM6sdtw1wsK_+KUjd_TgIdU4ShG@3CD>9dThY*^-=)^6m-4x_5!cHaYxgFe`&wh1 zX?>t&Ei~-E79k=XZvTaWkt7%0z0czJyxm@cq7a-7UY{u**4bqUWy;y~Wx;B?fc4`X zkC)Q)F4zu5o@N|0`0!vy*eW#(AGoY7V!wXC{|M7m9a8>oXi7>^R^TT}>9^r%>~$WF zn%H(8v>qO#Bgpd@uo4@IB<Uz13ugdUK7_?3?WzZSgNE0R+EK0l6=9X2?cDMs+>9G)CVj$UevH3=^{@vvw!A9dY24v5}xYSy2Rdj8F_DDw>?^g5I z!eyBd7^SY+GK+hH1aPZRRY)TEECdgSazQnvlt*9;vEiv)lsEtQFxAqEm!;taS*|~t>h>Q0f zVPo#JJ_kNij}5}svY>h)9;|Dz)?gaA*= zZvK$sB{_g~=#y>kmB7&+%V6q8z?1=-x@i5*viVe4lO\n\uf0ec\n=\n \uf0ed\n=\n\uf0ee\nWhich one of the following options is correct?\n(A) \n( )\n( )\nT n\nn\n= \u03b8\n \n(B) \n5/2\n( )\n((log )\n)\nT n\nn\n= \u03b8\n (C) \n( )\n( log )\nT n\nn\nn\n= \u03b8\n \n(D) \n5/2\n( )\n(\n)\nT n\nn\n= \u03b8", - "answer_text": "A\n \nQuestion 30 \n \n \n \n \n \n \n \nMSQ (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251543 \n \nSuppose a database system crashes again while recovering from a previous crash.\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n23\n\nAssume check-pointing is not done by the database either during the transactions or during recovery.\n \nWhich of the following statements is/are correct?\n \n \n(A) The same undo and redo list will be used while recovering again. \n \n(B) The system cannot recover any further. \n \n(C) The database will become inconsistent \n \n(D) All the transactions that are already undone and redone will not be recovered again. \n \nA", - "explanation_text": "Sol.\n \nWe know that in a log file all the operations are idempotent (result will be same on preforming same \noperation multiple times) and are recorded periodically. 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)\ni\nw z\n denote read and write operations respectively on a data item Z by a transaction \ni\nT\n .\nConsider the following two schedules.\n1\n1\n1\n2\n2\n2\n1\n: ( );\n( );\n( );\n( );\n( );\n( )\nS\nr x\nr y\nr x\nr y\nw\ny\nw x\n2\n1\n2\n2\n2\n1\n1\n: ( );\n( );\n( );\n( );\n( );\n( )\nS\nr x\nr x\nr y\nw\ny\nr y\nw x\n(A) Both \n1\nS\n and \n2\nS\n are conflict serializable.\n(B) Neither \n1\nS\n nor \n2\nS\n is conflict serializable.\n(C) \n1\nS\n is conflict serializable, and \n2\nS\n is not conflict serializable.\n(D) \n1\nS\n is not conflict serializable and\n2\nS\n is conflict serializable.", - "answer_text": "D", - "explanation_text": "Sol.\n \nThe schedule \n2\nS\n is CSS but \n1\nS\n is not conflict serializable due to the cycle in the precedence graph.\nThe precedence graph of \n1\nS\n will be :\n1\nT\n2\nT\n\nIt is not CSS due to the conflict :\n1\n2\n( )\n( )\nR Y\nW Y\n\u2212\n, and \n2\n1\n(\n)\n(\n)\nR\nX\nW X\n\u2212\nThe precedence graph of \n2\nS\n will be :\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n8\n\n1\nT\n2\nT\n\n2\nS\n is a conflict serializable schedule." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:dac42faf6e3b80b168ac003150fe14a151c42a403fa9e2f84d751fbcbc10d00f +size 1428 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/3/exp.webp b/frontend/public/assets/gate/cs/questions/2021-M/3/exp.webp index 9cc2d38758343cd6a58edce3f6afda95b33994cf..3020e0e39a5b34742a3249970d1771d8ba92a978 100644 GIT binary patch literal 130 zcmWN`xe>!45CFhjRnUON|EU`|4#SLXG(M!j)thL8z41$Zd{~?Fq=WNkpO06iec7(O z!+3K#5%?{)(F>!Nly!&8D7-gL`K$s83_j@^jdOrX7YU)P4$;=tx@w47>LO%PDun>q MZq$FsWVF_7f6|U8761SM literal 19416 zcmV(}K+wNZNk&G{O8@{@MM6+kP&gpOO8@}S{{Wo~7@$E0yx1wL5_v=lK80-)r7c?Jv(hGW?eN?)~?BUnl<$$y1eo(0#%D=Ko9n z*VrHCpZFiwJ^(*azuy03{}1hh>fiS#)F1Qz?Em<`$@{+lk^fQt7u@&kkNiLL|JQy% zKa~Gj^@IPV>^uEu{C}{o^AGF)^8IeVWj+r7uYaihr~ke3CHo8iyVwK%*Qf_mKY@Qg 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b/frontend/public/assets/gate/cs/questions/2021-M/31/data.json @@ -1,11 +1,3 @@ -{ - "id": "31", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "MCQ", - "key": "A\n \nQuestion 32 \n \n \n \n \n \n \n \nMSQ (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251542\nLet, \nM\n denote an encoding of an automaton \nM\n. Suppose that \n{0,1}\n\u03a3 =\n. Which of the following\nlanguage is/are NOT recursive?\n(A) \nL\n{ M |\n=\nM is a DFA such that \nL(M)\n}\n= \u03c6\n(B) \nL\n{ M |\n=\n M is a PDA such that \nL(M)\n*}\n=\n \uf0e5\n(C) \nL\n{ M |\n=\nM is a DFA such that \nL(M)\n*}\n=\n \uf0e5\n(D) \nL\n{ M |\n=\n M is a PDA such that \nL(M)\n}\n= \u03c6\n \nB\n \nQuestion \n33 \n \n \n \n \n \n \n \nNAT (1M)\n \n \n \n \n \n \n \n \n \nQuestion ID : 823251547\n \n \nConsider the following undirected graph with edge weights as shown:\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n24\n\n0.1\n0.1\n0.9\n0.9\n0.9\n0.1\n0.1\n0.9\n0.1\n0.1\nThe number of minimum-weight spanning trees of the graph is ________. \n \n3 \nSol. \nSolid lines represent compulsory edges in MST and dotted lines represent optional edges in MST only \none edge out of those 3 edges is possible hence answer is 3.\n0.9\n0.1\ng\nt\nf\n1\n1\n9\n9\nc\nd\ne\n9\n1\n1\n1\n1\n1\nb\na\ns", - "question_text": "Question 31 \n \n \n \n \n \n \n \nMCQ (2M) \n \n \n \n \n \n \n \n \nQuestion ID : 823251569\nFor a turning machine \n,\nM\nM\n denotes encoding of \nM\n, consider\n1\n{\n takes more than 2021 steps in all input\nL\nM m\n=\n2\n{\n takes more than 2021 in some input\nL\nM m\n=\nWhich one of the following option is correct?\n(A) Both \n1\nL\n and \n2\nL\n decidable \n(B) \n1\nL\n decidable and \n2\nL\n undecidable\n(C) \n1\nL\n undecidable and \n2\nL\n decidable \n(D) Both \n1\nL\n and \n2\nL\n undecidable", - "answer_text": "A\n \nQuestion 32 \n \n \n \n \n \n \n \nMSQ (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251542\nLet, \nM\n denote an encoding of an automaton \nM\n. Suppose that \n{0,1}\n\u03a3 =\n. Which of the following\nlanguage is/are NOT recursive?\n(A) \nL\n{ M |\n=\nM is a DFA such that \nL(M)\n}\n= \u03c6\n(B) \nL\n{ M |\n=\n M is a PDA such that \nL(M)\n*}\n=\n \uf0e5\n(C) \nL\n{ M |\n=\nM is a DFA such that \nL(M)\n*}\n=\n \uf0e5\n(D) \nL\n{ M |\n=\n M is a PDA such that \nL(M)\n}\n= \u03c6\n \nB\n \nQuestion \n33 \n \n \n \n \n \n \n \nNAT (1M)\n \n \n \n \n \n \n \n \n \nQuestion ID : 823251547\n \n \nConsider the following undirected graph with edge weights as shown:\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n24\n\n0.1\n0.1\n0.9\n0.9\n0.9\n0.1\n0.1\n0.9\n0.1\n0.1\nThe number of minimum-weight spanning trees of the graph is ________. \n \n3 \nSol. \nSolid lines represent compulsory edges in MST and dotted lines represent optional edges in MST only \none edge out of those 3 edges is possible hence answer is 3.\n0.9\n0.1\ng\nt\nf\n1\n1\n9\n9\nc\nd\ne\n9\n1\n1\n1\n1\n1\nb\na\ns", - "explanation_text": "" -} \ No newline at end of file +version 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100644 --- a/frontend/public/assets/gate/cs/questions/2021-M/35/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-M/35/data.json @@ -1,11 +1,3 @@ -{ - "id": "35", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "NAT", - "key": "", - "question_text": "Question 35 \n \n \n \n \n \n \n \nMCQ (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251556 \n \nConsider the following grammar (that admits a series of declaration, followed by expression) and the \nassociated syntax directed translation (SDT)action, gived as pseudo-code :\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n25\n\nS\nD*E*\n\u2192\n \nD\n \u2192\n int ID {record that ID.lexeme is of type int} \nD\n \u2192\nbool ID{record that ID.lexeme is of type bool} \nE\n \u2192\nE\n1\n + E\n2\n {check if E\n1.\ntype = E\n2\n.type = int; set E.type t = int} \nE\n \u2192\n!E\n1\n {check that E\n1\n.type = bool; then set E.type = bool} \nE\n \u2192\nID {Set E.type= int} \nWith respect to the above grammar, which one of the following choices is correct? \n(A) The actions can be used to type-check syntactically correct integer variable decla- \nrations and integer expressions. \n(B)The actions will lead to an infinite loop. \n(C)The actions can be used to type-check syntactically correct boolean variable decla- \nrations and boolean expressions. \n(D)The actions can be used to correctly type-check any syntactically correct program. \nAns. \nA\n \nQuestion 36 \n \n \n \n \n \n \n \nNAT (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251554 \n \nConsider the following representation of a number in IEEE 754 single-precision floating point format \nwith bass of 127 \n \nS : 1 \n \nE : 10000001 \nF : 11110000000000000000000 \nHere S, E and F denote the sign, exponent and fraction components of the floating \npoint representation. \nThe decimal value corresponding to the above representation (rounded to 2 decimal \nplaces) is_______. \nAns. \n\u20137.75 \nSol.\n \nSign bit = 1 \n \n \nBE \n10000001\n=\n7\n0\n2\n2\n=\n+\n128\n1\n129\n=\n+\n=\n127\nE\nBE\n=\n\u2212\n129\n127\n=\n\u2212\n2\n=\nBinary No \n2\n1.1111 2\n= \u2212\n\u00d7\n2\n( 111.11)\n= \u2212\n10\n( 7.75)\n= \u2212\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n26\n", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:f66878f23bf540a3bd2579caf844667de2fcf7284a47260561f064507a626b78 +size 2227 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/35/q.webp b/frontend/public/assets/gate/cs/questions/2021-M/35/q.webp index ad68bcce8ae32750a50c1277cafa82c44b6ca5bb..bc525b5dddd2c47d361260ac1e7fca892200e5e0 100644 GIT binary patch literal 130 zcmWN@%MHUI3;@u3reJ{vW6Vd{1_LQbZHa1yJXP=MPF6(VO zdClXk<)~R-W*NOGX$hU*JfU^G8&e1vD?^T!@1Oxs;Lw(ofHERDsu(ztFA+)%))=;E M7wNyMJO-lW55g-ZX#fBK literal 63196 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age of 500 employees of a company, where empNo \n(indicating the employee number) is the key : \n \nempAge(empNo, cige) \nConsider the following relational algebra expression: \n \n(\n1)\n1,\n1\n(\n(\n)\nempNo\nage age\nempNo age\nempAge\nempAge\n>\n\u03a0\n\u03c1\n\uf03e\uf03c\nWhat does the above expression generate? \n(A)\n \nEmployee numbers of only those employees whose age is more than the age of \nexactly one other employee. \n(B)\n \nEmployee numbers of only those employees whose age is the maximum. \n(C)\n \nEmployee numbers of all employees whose age is the minimum. \n(D)\n \nEmployee numbers of all employees whose age is not the minimum. \nAns. \nD \nSol. \nThe given join is the conditional joins the relations if the age is greater than any of the ages mentioned in \nthe database. Therefore, it results employees whose age is not minimum.", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:9442719af2aaa2fac7f2a79e74cc5eebe008bcd57614c3743ea12ab4013b4ea8 +size 1201 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/37/q.webp b/frontend/public/assets/gate/cs/questions/2021-M/37/q.webp index 88791446cc065f6b80832ef7b68c6c188484f2ea..099fd5e389267a6576cf4d7b862f9a1d4f1ae03b 100644 GIT binary patch literal 130 zcmWN_$qmCG5CFhGRnS1peYqRhg@BX+@x$2k3{P4ckLAwyou^z8R+igF~ z2J7t=(_m z+_GSNm;L|J$HRXy{)_#m_1pSqr+dj*u6i0rTks+(8oX6 z|GNJP>;>t^$-ln;R{sJ2Kl~rFAE5t7{*(Jx{eS=e%DH$e<*&ye~N!F{_Xv*{15yu??3VAL!@cT0TTK}i{|NlVe1SrJn$cnBI=?-hs`=(#;jnq}`q>Dl~n=z25 z6?4YEdKV!|Evf3WaulN4o~t&&7asTEa)0I%%_IksRkbQWVJ0-*5__Kh7kY&r1$V!( zzqY`sf<_zQys!0k{=z%RM zWQXhQu->5gmajBN{R2Gy({?RE0&eh>x32f`0WC*ha?93L|1dHABm#MW(Ya$fk#T=` zKL%@{YVEn-%)c(k`p1|KB@S 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Engineering\nPAGE\n28\n\nWhich one of the following options arranges the functions in the increasing order \nof asymptotic growth rate?\n(A) \n1 2 3\nf f f\n \n(B) \n2 3 1\nf f f\n \n(C) \n3 2 1\nf f f\n \n(D) \n2 1 3\nf f f\n \nAns. \nB", - "answer_text": "", - "explanation_text": "Sol. \nTaking log for all the functions\nlog(f\n1\n) = nlog10, log(f\n2\n) = (logn)\n2 \n \nlog(f\n3\n) = \u221anlogn\nhence f\n2\n < f\n3\n < f\n1" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:e2ed218d929dc0277fcfa23f69ab9c8e9f0366f4694feecc24beeb89848e8db8 +size 844 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/41/exp.webp b/frontend/public/assets/gate/cs/questions/2021-M/41/exp.webp index e858153d62da7db353792995b4484bbf3446655a..cd37213c06d7f1375c6192226abf72dff788d16c 100644 GIT binary patch literal 129 zcmWN?OA^8$3;@u5Pr(H&pMa#j4J1LBQRxWn!qe;9yh}c#^|z{X9%I+~(dO-0#`?dW zd8Pi+;}Fu9U3z0RYI5PeqeWt8Ek`OQg(Qf@fPk2QPSARvVgw-G3Wo45Dt^VJB 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by the above pushdown automaton is _________. \nAns. \n50 \nQuestion 43 \n \n \n \n \n \n \n \nNAT (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251546 \n \nIn an undirected connected planar graph G, there are eight vertices and five faces.The number of edges \nin G is_______. \nAns. \n11 \nSol.\n \nNumber of Faces/Region(F) = 5 \nNumber of vertices(V) = 8\nNumber of Edges(E)?\nFormula used: F = E-N+2\n\uf0e8\nE = F+N-2\n= 5+8-2 = 11", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:94ffbd6ea87fe1ef1660f3190d7384dcbc94fd3657b495f785930d5d3928bf11 +size 1356 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/42/q.webp b/frontend/public/assets/gate/cs/questions/2021-M/42/q.webp index 16be6bf7fc9a4421b980402486cd1b7c09f3f270..f17f54385805a55e99d60225df644ec48ac20d1e 100644 GIT binary patch literal 130 zcmWN?K@!3s3;@78uiyigf)twm20|jtsB{eW;OphGd(lT)f9pENDTgtSHf~RrWnRB| 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Let t be the lowest upper bound on the number of comparisons \nof the array elements, required to find the minimum and maximum values in an arbitrary array of n \nelements. Which one of the following \nchoices is correct?\n(A) \nt\nn\n>\nand \n3\nt\n \u2264\n\u1252\n\u0be1\n\u0b36\n\u1253\n \n \n(B) t > 2n - 2\n(C) t > \n\u2308log\n\u0b36\n(\ud835\udc5b)\u2309 \ud835\udc4e\ud835\udc5b\ud835\udc51 \ud835\udc61\u2264\ud835\udc5b\n \n(D) \n3\nt\n >\n\u1252\n\u0be1\n\u0b36\n\u1253\n and t \n\u22642\ud835\udc5b\u22122", - "answer_text": "A", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:55796d1c2e015e26895a4736fb522b4e04aa21cedafaaf95c807393d26d1efbd +size 884 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/45/q.webp b/frontend/public/assets/gate/cs/questions/2021-M/45/q.webp index 33470e0b29bd113942cb4fdbc375e9d986ebb6f4..96d9348c2a81ad3d5a26ede72ccf0d5d39137a79 100644 GIT binary patch literal 130 zcmWN{K@x)?3;@8puiyg}i3u?N20|>%w8d%ALtkG{d)Z6A+WN=TF%I3VeYWv2tdSExs( zzbpS6{crrg{Gagt$zHYncluB6XZBBqe=7dF{crN;_y6z%_^or*lJI z$qiRBPrg((nPT~AQCLO6$-&wGm`^m29!Z_rWxrsa?RsDn`#L`?-s9fyl#;#Ti_vFB zg7J8&>Sr&v8>5eX**-w|ytVRZ9GOj;9GwWI{KIGrOW`-O#-W4xDYRwb1c`w)lF|@p zv#Cw2pV$opcB?uGo{}q9xs^rJ_uW)zux>{+M&r_A%(=q$8EctVC}>OrOwjkpzU<$R zqm;l5{^tP#jx=^|_@-WiHso~rBiU?2r$1~? z4+GEaM$iHXiPt3)l z_E4rMqT>uL{>0t#1qVigb9>G*ING|A8ZZDibl1y}SHF@$e9Ft>V;uPH+V`Msn!`>*)iWIiVO6e}(lW#S z)3UE_4yYi$N8MCtuyA~?5u8$D<@36T^!$U#EwSO&DqH+$X9Ya8y7Ew@+y5}Lxvz;` zQRH1CHYVbltsw28!wH?Up7{`l$#E_bcgwM;g)}ZK^(@Gknz5$9DT~o(MtB>Gis>{~ zaA>7mT^9fbJ?Q91B65&Fxf5|g=P7eeJLT9IB9oJY`Fu~D=xt&@_?|V&zy1XlYDPa-%1&3tz9IA?LOjZx=>G6(=3WyyAeM~upCmqdCz-|cENQjlA#Q|R~R@!WPqg&7b(rboV#IL*$sdST`6xu;0f=`PtS|c>R z*Q`=;_oVM5M>4D9kWw5MgjZwwJbENwT+Qo1Nb>3AMJkL@)({Lgg^2qqO_->&!CHP_ z(B2^dv{aFD7@B|(%&pc8Nc-CzGw=Qa|M!!yT@4$OZQ;D|fiC^Pl#|{XI)Gh7cU1|x ze|=^JlcZ)*|04Nox^N#93c&RpOFnju(ot?Lmu|coST?Jue{+U4*UK~?Vkv~w`kM<$ z@o=b`!q(v0j4e;~(mrrI12)9`lW@thy$$JzM-mW)q$ttv3H82wSDME68ptwU2RE|h z$T(5bYV9M_pMrnG|7@S71NiuHX}&ryj`V%2c5RM5*s>~~y8n$N(EMtf(_!Lvp96TeA7!9Vn?j=2KMh|Ic=H&=u$Q()6a)NZch0j*ML}7OTpTs*4q4zEFw|T zQ^M1+-PAtSIOo5eIp`?+oU-$@KI{@m&deXTz3 zx_zj=f`{+v2Zks*6o%^-aP&l|H@Mn1k&AQ^^LVBds{T*>`=8o>b#2r=OhdT(Aa_h~ ze`E$ayP1gmB9OUmaFFb4RS>rp*k0S{XZb*eP*C_1U$$6-^>}r>^>;b*i3f4lt0k-{ z#CX^Eq^t&i><(CIVb9AVH_A{z!am-b3J&QaED%dipomZF~clI>IRC+khg zx;I=nj8f!(PSuOy8f1A=3Lu?|iK;xzA@q0?o@E|k{ZDT{{RYbasqN?gpd80W^ecS8 z3@MM638f~V6FwU3uRLKZB#B?lpuX^XYf`$~m?Wl?b*I zxu4c)WSKi(Hvl0lG<#=yKF)gKrc7-IYYXFn+Da$nbR6ge`Br0|bK_5@a~4Ex#)M7e zl%95)rk%+3%V}#WsYDYcm!nkepoYXr1~U^5e#)TxBJX-9=uYdM{RFL)7sMYxTk_xl za*Dn~vE}D%zOJ;K)g)pKs$3Nw5_^I6CGib>zm9Scz%~CdpdWx|eUir&6A6|OQRSdY z(3btK0*H+ox+bCL*2Nj=V}Vd;CiouOwZe8ue!Nbwj9VgX6>m#9Yu379Q3>^C#%Lj2 z5~zv6uY$`o+-fFrv5&P??OD}37kx-qu?y<1Q&*|$O5?$?6f{d`5oqw{1==tm0+1&g zVmhH6$E_%!=@I4B!Mv_EjH{UO*hQzy*dXmNfn@j@pDhXS5|^=T(%%34E!dhc z%R9WxSRwwQZ5)fz%W@by9sw{VtH&Ix_RbLRt^u*{ekVIp(oN*i(l%!}20VG5-Cp~L zI|aJZ=akp^x{Ytl`1*e#_(t2!x2!!izjQX4Og{C1Uwm66_#$vAO zTf%H3?4#@Xv3@~|deNJcT#nF7R1PG?z{sq9Xs3V|Wxi2tg$(#pX&+RWm1>Wp1k^9m zuVR$Ph!5)`*|GEI!tr)H*~M5(h?OLp+yx!OB?3ceAgOdve0N|m0MvhTaRf zx56v;gK(zvwH7OfX1OD}>K{&-a?z`phYn#6w!LZG<$bM4reyyyBeFZ;SM^uU>ipkk)O!8>i0{elK^FO=M888@_91I;q5Ebx1QL&22``s$5 z<-Z|-4+k#Akk&Zk#a$o93SF%7>00|LsXq5LKZ5c?y*(#&GzmgaFT#_4x$5TS>Hpn|JttnM7;`Z{%?mt?-22X|T0v-lliPcR zNpI1%1bMeF>9!UARiEEAfj$+^uC=)u$W##R30erkh2TMt3IwgT=a-sZ!mFXET0Grd zY)F;~i(dfx^@%NgIj0ruJYE-0|3xYf+~n4G-x*YfNxxC5hO6lm1@Sh3?nZN|LXM41 zB_X3!4~KN;@oo2`QOVXo{#WN6L|ht0)Wn}_un?cSp=L1huUV!#Y_drz74mj zlA;4U&mzJt1Ii}d+Q|j{)oKi6kF;R%}Y0~76oNEp2PwX5^2!1Bv$`3_NhVy?cMA^V;Q_5tF3w^2xY4S1%U3?I^{5$ ziU&v1%WvUq7f??{bGX2Zd!aZu{rM-aV({}Jld>ASYn!<0P&6gPlnZu9#9bY|oosZp zZ#OgTD0Zthd)+%TOCP$k^tOWbnaS;1h0`YMZ+Y@#2=lqPAa5GSRkO#l?s`#)b?0&ih`8 zT>L=yKTY4?_39gb^Y4T*M#kDv3xoS81t+UxV{j5+;s*H|l=UtMS;Q-_t^n$UT^O6> z0!I)Yz-P{-Gx!l&;Fe<-z$bZA^;D%o8uAIOfBG6@I`4{lRkQvP@R1!zi!u2x8-KV` znNpMn6N@+wg6E|9{zg?4o}JL&_Y1cU+(MaEBtS|sWp%5|@%R#5IHa@rc0HWdGC;50 zWDQ>Z>JWp024p@Bg^W);c-JZj-==0IdD2us_76Ru1;__l0if zh|eQ)`jA^)(cIlvX2})5G!9DL^;;CF#Os$_=$?Ns8Ozw2=TO#Om;b)&7Hs?oO?)Ts z2AKI;h@SPajm@Tgdpag0fIYMU)I1E?P`-BKbI)no7cPR;fIhK1nE;5Q`5u;-3q&r)ErPwWOB%@T)==1b3E*Z>BP!h}6-s%H zMS42l#NN*v6%}zbP-j~j5Z$3tB9L|!R8R(PV2xm-@PT-QK3@qFc}Ldo{g;?gkOoE? zY;!!d&XxW=Sd)k_yg?BeOLJMW5Yt6*T-!q(mZ!a~)tuT1-T7JMnYwJ! 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ATCP client is connected \nto the TCP server over the network. \nConsider that while the TCP connection was active, the server machine S crashed and rebooted. Assume \nthat the client does not use the TCP keepalive timer. \nWhich of the following behaviors is/are possible? \n(A)\n \nThe TCP server application on S can listen on P after reboot. \n(B)\n \nIf the client was waiting to receive a packet, it may wait indefinitely. \n(C)\n \nIf the client sends a packet after the server reboot, it will receive a FIN segment. \n(D)\n \nIf the client sends a packet after the server reboot, it will receive a RST segment. \nAns. \nA, B, D", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:cda207c8e8ce199c811338e15bd0a9426df7c3a18df2838bf38e1dfce225024c +size 1019 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/46/q.webp b/frontend/public/assets/gate/cs/questions/2021-M/46/q.webp index 5dd15767b263ba57d061f14a798c1417f8e196db..c3e7ef5fece5cd9b8b85fac178ef84623b8eb8dd 100644 GIT binary patch literal 130 zcmWN_%MHUI3;@tOQ?Nh-IQ)`rj4=hNEm0vkbo%D>q<8UmwEmHG&SUIKJ==V|%2;me znHK7AH4Y|q8PQvoqarxJuO*~pOW3G*ijKF87}?wbqzys<8#%3*(Xfjq6r_OK$5043 NX(LAau>{cCia!|SC{6$X literal 22062 zcmV)0K+eBXNk&E{RsaB3MM6+kP&gnORsaC7=m4DoDr5q|06tM9k3^%QA(a|6JU9ge zv$uXeOqyT;o5JRRAL+Zlv{U1~PyaL9+-&<0{#V=w%%4EMU>~hMbe^(2zA#Zy-F+$iFXTU={=olt{+at_ z@$ZqpH~r`RccGuf{WcOv;N2X)$OnSmu=Q<{>S~-s4u2pCjS5ZZ~Wi=&+i`4K85|K`(Nz$_Rs(SC;ngk z2m3$vf7ws)KmR`fKZ$=V{?Gl(_LKX+|Nr)%R)1*!N&WB1YwVxoKjwd-_yPVo{Kxxu z_5bic>A%AN|Nocxb^E{kFYo{DKlp#0|NsC0;wR+)-ap=dhyP>$+x+kU|NsA>U&w!- z|E>P({!9OV`G5ca{eJ4d{rimlegE(7d-~)5XY>F5sla;pckrTg+Ha)?CFuu*=vz>? z;F=6WIBMY1nuxwqHqoTrhN5@rUVEutHFa8xfu=B_2^70TA4}LnBlX)M@~sM$XGUX`;+c@iDPfS_E+yH#M_?}^8s z+x$;K*?g~l)a*wPmM4A)&UGKJm{M)r>G ze=&#X#drIK&_Ew)K|?t8WWqxJV!!FR)A^ijsQiD6kr)KlHl%%5-7B237*C(>sc(7b z{W)}ubQj=^*r|TXC1u8PF&1{V2fOZ7}+Cslox@8hVts@qBMs+Z?uv-^Fi`1~XKJuCaT= z;{L@kDI$I*EtnMNuO8l1B=eQA;v=vUKL4qyH)7pqd|$q>q+kQU%b;}8f`hnTYmphr zgb|qSz+8)2TW5vD?kp*<#LyJ72}jag3xZ zS-pC@kI%1x4F

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a/frontend/public/assets/gate/cs/questions/2021-M/47/data.json b/frontend/public/assets/gate/cs/questions/2021-M/47/data.json index 0fd60b8..58dcb58 100644 --- a/frontend/public/assets/gate/cs/questions/2021-M/47/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-M/47/data.json @@ -1,11 +1,3 @@ -{ - "id": "47", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "NAT", - "key": "", - "question_text": "Question 47 \n \n \n \n \n \n \n \nNAT (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251578 \n \nConsider the following ANSI C function: \nint SimpleFunction(int Y[], int n, int x) \n{ \n \n \nint total = Y[0], looplndex;\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n30\n\nfor (looplndex = 1; looplndex <= n - 1; loopIndex++) \ntotal = x * total + Y[looplndex]; \n \n \nreturn total; \n} \nLet Z be an array of 10 elements with Z [?']-1, for all i such that 0 < i < 9. The value returned by \nSimpleFunction(Z, 10,2) is__________. \nAns. \n1023 \nSol.\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n9\nZ\n0\n1\n2\n3\n4\n5\n6\n7\n8\n\nTotal\n[0]\n[0]\n1\nY\nZ\n=\n=\n=\n10\nn\n =\n2\nx\n =\nLoop index \nTotal\n*total\n[loop index]\nx\nY\n=\n+\n \n1 \n2*1\n[1]\n2*1 1\n3\nY\n+\n=\n+ =\n2 \n2*3\n[2]\n2*3 1\n7\nY\n+\n=\n+ =\n3 \n2*7\n[3]\n2*7\n1\n15\nY\n+\n=\n+ =\n4 \n2*15\n[4]\n2*15 1\n31\nY\n+\n=\n+ =\n5 \n2*31\n[5]\n2*31 1\n63\nY\n+\n=\n+ =\n6 \n2*63\n[6]\n2*63 1\n127\nY\n+\n=\n+ =\n7 \n2*127\n[7]\n2*127\n1\n255\nY\n+\n=\n+ =\n8 \n2*255\n[8]\n2*255 1\n511\nY\n+\n=\n+ =\n9 \n2*511\n[9]\n2*511 1\n1023\nY\n+\n=\n+ =\n \n \nQuestion 48 \n \n \n \n \n \n \n \nNAT (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251549 \n \nThere are 6 jobs with distinct difficulty levels, and 3 computers with distinct processing speeds. Each \njob is assigned to a computer such that: \n \n\uf09f\n The fastest computer gets the toughest job and the slowest computer gets the easiest job. \n \n\uf09f\n Every computer gets at least one job. \n \nThe number of ways in which this can be done is_____. \nAns. \n65 \nSol. \nAs 2 Jobs are already assigned to Fastest and Slowest Computer (Toughest and Easiest job respectively). \nWe are only left with 4 distinct Jobs to be distributed to 3 distinct Computers. Intermediate has not been \nassigned any, other have got one each, therefore 4 jobs to be distributed such that intermediate must get \nat least one. \nFastest \nIntermediate \nSlowest\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n31\n\n2 \n \n \n1 \n \n1\n1 \n \n \n1 \n \n2\n1 \n \n \n2 \n \n1\n2 \n \n \n2 \n \n0\n0 \n \n \n2 \n \n2\n3 \n \n \n1 \n \n0\n0 \n \n \n1 \n \n3\n0 \n \n \n3 \n \n1\n1 \n \n \n3 \n \n0\n0 \n \n \n4 \n \n0\nTherefore total cases are 4C2 X 2C1 X 3 + 4C2 X 2 + 4C3 X 4 + 4C4 = 36 + 12 + 16 + 1 = 65", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:df42c747697e74887da89cc0aed60a535e3743436fb109d4d9f590737281fe52 +size 1339 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/47/q.webp b/frontend/public/assets/gate/cs/questions/2021-M/47/q.webp index d61b5ed5b6f406352bdeb770e4543a3ee8815db2..4eb4b0c81e143c31da1cd2328c6084ddf5fa1032 100644 GIT binary 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The main hash table size is 4. \n2. The 2 least significant bits of a key is used to index into the main hash table \n3. Initially, the mean hash table entries are empty \n4. Thereafter, when more keys are hashed into it to resolve collisions, the set of all keys corresponding \nto a main hash table entry is organized as a binary tree that grows on demand. \n5. First the 3\nrd\n least significant bit is used to divide the keys into left and right subtrees. \n6. To resolve more collisions, each node of the binary tree is further sub-divided into left and right \nsubtrees based on the 4\nth\n least significant bit. \n7. A split is done only if it is needed i.e. only when there is a collision. \nConsider the following state of the hash table.\n00\n01\n10\n11\n0\n1\nEmpty \n0\n1\n0\n1\nWhich of the following sequence of key insertions can cause the above state of the hash table (assume \nthe key are in decimal notation) \n(A) 9, 5, 10, 6, 7, 1 \n \n \n(B) 10, 9, 6, 7, 5, 13 \n(C) 9, 5, 13, 6, 10, 14 \n \n(D) 5, 9, 4, 13, 10, 7 \nAns. \nB \nSol.\n \nFrom given state of hash table.\n00\n01\n10\n11\n0\n1\n0\n1\nEmpty\n0\n1\n\nFollowing numbers are possible\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n10\n\n0001-1\n0010-2\nX010\nX001\n1001-9\n1010-10\n0110-6\n0101\n5\nX110\n1110-14\n1101\n13\nXX11\n0011\n0111\n1011\n1111\n\n3\n7\n11\n15\nAmong above possible values only one in each class should be present.\nOnly option matches is (B).", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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b/frontend/public/assets/gate/cs/questions/2021-M/8/data.json @@ -1,11 +1,3 @@ -{ - "id": "8", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "NAT", - "key": "820", - "question_text": "Question 8 \n \n \n \n \n \n \n \nNAT (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251553 \n \nA relation r (A, B) in relational database has 1200 tuples. The attribute A has integer value ranging 6 to \n20 and the attribute B has integer values ranging from 1 to 20. Assume that the attributes A and B \nindependently distributed. The estimated number of tuple in the output of \n(\n10) (\n18)\n(r)\n>\n\u2228\n=\n\u03c3\n A\nB\n \nis ______.", - "answer_text": "820", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:0f166995763f0e62431882c991f7eb8ac4116068cec3b1471c1e1b5d8ceb97d3 +size 659 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/8/exp.webp b/frontend/public/assets/gate/cs/questions/2021-M/8/exp.webp index 0e59ae25067bd195f72affe2589affc4e1409885..e4811e624c0baed19265490bb2d6309bcd4c87d5 100644 GIT binary patch literal 129 zcmWN?$q~XZ3;@8tt8fFv@+l?VL_V-*0B2ChgX&>Fd)2p$`O^J757~^lkMs6uvi$EK zUh;ezIcheSRdWVL)_*ExJU+ MS;_cT9SD>90c{v1vj6}9 literal 4878 zcmV+p6Y=a)Nk&En6952LMM6+kP&gp^5&!^DNdTPzDr5p406tA1jYJ}%A(`2Qm?#9q zw4ytMoCEv@PzUS{d4yV`zM+Qa!zUfxBc&^7p4Cy{|)_r_h0;f zv|p)zSNyH_BkEuE|I82XpI{%wKahWF{;~Ug{h$B;&L7f0$oPYO3;P%PPwd~8KVTok zznTAe{>}a?{xA4n|Nm(pzkj>_`~G|OW7;&HU+;fE)>1Ojb}$|A)!n@ebmxj8U8tcr7Ip&muqMb}H%lcX zt51}aepNfWytyXmey)O7eo}2@0T13VZf|H8Ja}HGJnwzs^qIX!KZ~_+gJ(hMkNybh z{|dzZ@P1q!VdG;ynECORN9={nC!0-SdOR=~dUC_@#wJPghvX^Rxc_;4PId#=#X1sq zuJCoRy6R zhIfq-p!$8(4!ugrL$!+pqgYpE?onW9aR}G`u;g z_6FBZ34&xthpc*{?9`_6(r5B0J!L3Ew}vCEA{>vhWrGU6#r|O2zETZVpJ5}x)x(D@ z1fo!>G}19qtuoYy59epya=FuvV!)v9}su!3Ity zwS-U6=WtR42VvmOIwod!q&`7-2NsZ!|7(c<;`=y_oTI*r{`ZhttAe-OIvRMp-F=45 zdnNB#xx1*exsqA@(ACd*%-ENv<{})dQ5^p*o#;I?RB+ks&tR4>;`Wucp%!BLWJ`)Z z)rn$M${R=t>u&eRBMMn4gC%Hx0Tj;AP^V71bGDFHqg@XzFT}ITeXJ?SplTIL8xD~n zp)2qEZAgdsol~7OmDuGaa2#}N2kqQb^P_ucaAf_4Yz)K4`V&r_(g_lY<;vdr3?SJQ zGF~0HA}lrefUWi}s79~?lm>d&JW`^M9TEZt#qh)$V&aqTV@V6Vbhd}uMsowQZHcPQ zwvYL^cuu{5?&sO*sfaBYDQ`I~PA*@2yRHFTXQp$T>s08g_pBrvUVi~Xi~kd#xVy`- z#O0pZ)c=Tc!;QiME2eI<*AG`V3ahl4D(`Pm*M+dEZ$)foNtDjG@nTAar}4#(=>4#{ z8j}EcQ&&&IlF<&jqHgTL6P;_f2yyzuT(P+H*V`Uo5TD?WRA ztNwD-Be-aOi<-wRQaC<6lv?xkH!=|k9Leq%Na7-DG|XA5p0N^N=REx~#0R-T$ns^N zS@Y9D0uv+4-6iO|4KR=-%`W%>g(u^Hlb#lbKa&>}n8xJUF*jw#g+f>9VlhTVYk7{T z!PcR&$*fbE#-f7ug*O(s#OqDFYG9RUk2k6Er<1=HemM`2;?NPU>Y)|VIunx);MYE(aZg@^Is#9kn^)AUt4hl(C!gckH+!+gW37vq$ z2^EruiehB8L8xE0X|MGkO3@w-an&Z=LcgRNl{rT)e>gW~pnt$0=4U(&v!i-2ckdQT z)L0;?Yquy9Mi6fHo$}`MdMTB4aZUVpciqyH3@Oqrd9jnUD88=&Jn~x36GNP+0}OYK z_za7t9*~Y}*pgZs2u0~n)ozRS>aI|U7Yo-IpYmwov&l;WOE-tzULWf;BW>@0rN%%E zc{+b>a!77?1vRf40uWf?+{}Q;1jltIIEm|RaKZhK5?(zM@0(bCnb+ACi`o!3!XTo` z2*2#>U*>2=N$T@hVyiQu2>m&k@G`7bMnx1h>seqNFIZ4ft_EKL%oASKC(OwL8#OM%EUc#Nv6|t z6|NwLz&oZZg$4Y!v33+7H6TE;U5KiiQPAuAp$!Ul8`46VYeWRxn?@mXmpEg0PR|l| zt^m}y)>@$oOwx^$2od#Bh6Xhf2_zz-Z8qm~_SXvy@)bEbNu8R^PWVHUUOStzyi}rx zKo^uGhobxoLH;c$iJ4Lg7n6a_nYVhq@~-G!Cl_8iLqD8M9xovp#a-Q=5EOKPN6B^< zsh%vz!lGPKs+T*bvCQpU|9!Z`=(_zHjcY*WOhc|eJZ#VGHcYZLgpAV_d~W!_MG`

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"computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "MCQ", - "key": "(A)", - "question_text": "Question 1. \n \n \n \n \n \n \nMCQ (1M)\nQuestion ID : 8232513092\nA transparent square sheet shown above is folded along the dotted line. 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zfKfoozkUP!U2(j2sc!GI@1sq*Buf{^=x8pl04Y6aLK0@cC7{sIjasmuR2AV$L(`bG zL13Fkg!l^=7b=eFQTAY&cG6h}31eu^&5y^I4YmCanb{iLvR zl~pj&i?S<>0AV4?;6+jW_M+A7VeVgyCitutU$jWS;=PEN1|tIBTN_y7ow!Z42^tm7 z0T=Vb(M)0j4>acew=tI5CxT Sv*Z8+V*?Tv5}`b(0001T1J>LC diff --git a/frontend/public/assets/gate/cs/questions/2021-N/10/data.json b/frontend/public/assets/gate/cs/questions/2021-N/10/data.json index 8a33715..bf8480c 100644 --- a/frontend/public/assets/gate/cs/questions/2021-N/10/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-N/10/data.json @@ -1,11 +1,3 @@ -{ - "id": "10", - "stream": "computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "MCQ", - "key": "(D)", - "question_text": "Question 10. \n \n \n \n \n \n \n \n \nMCQ (2M)\nQuestion ID : 8232513099\n\nNo of units\nSerieNet profit (Rs.)\n350\n300\n296\n300\n240\n250\n210\n200\n200\n150\n100\n100\n50\n0\nYear 1\nYear 2\nYear 3\nThe number of units of a product sold in three different years and the respective net profits are \npresented in the figure above. The cost/unit in Year 3 was Rs.1, which was half the cost/unit in Year 2.\n\nPAGE\n7\n\nThe cost/unit in Year 3 was one-third of the cost/unit in Year 1. Taxes were paid on the selling price at \n10%. 13% and 15% respectively for the three years. Net profit is calculated as the difference between \nthe selling price and the sum of cost and taxes paid in that year.\nThe ratio of the selling price in Year 2 to the selling price in Year 3 is________\n\n(A)\n \n3 : 4 (B) 1 : 1\n(C) 1 : 2 (D) 4 : 3", - "answer_text": "(D)", - "explanation_text": "Sol. \nGiven :\ncost per unit of year 3 = Rs.1\nand Cost per unit of year 3 = (cost per unit of year 2)/2\nSo, cost per unit of year 2 = 2*cost per unit of year 3 = 2*1 = 2.\nLet selling price of year 2 = sp2 and selling price of year 3 = sp3.\nwe have taxes in year 2 and 3 as 13% and 15% of selling price respectively.\nTax in year 2 = 13*sp2/100 =.13*sp2\nTax in year 3 = 15*sp3/100 = 0 .15*sp3\nprofit in year 2 = selling price in year 2\u2212(cost of all units +tax in year 2)\n296 = sp2\u2212(200*2+0.13*sp2)\n296 = sp2\u2212400\u22120.13sp2\n296+400 = 0.87*sp2\n696*100/87 = sp2\nsp2 = 800.\nprofit in year 3 = selling price in year 3\u2212(cost of all units +tax in year 3)\n210 = 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-1,11 +1,3 @@ -{ - "id": "12", - "stream": "computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "NAT", - "key": "60", - "question_text": "Question 12. \n \n \n \n \n \n \n \n \nNAT (2M)\nQuestion ID : 8232513149\n\nPAGE\n9\n\nConsider the following ANSI C program.\n#include \nint foo(int x, int y, int q)\n{if ((x <= 0) && (y <= 0))\nreturn q;\nif (x <= 0)\nreturn foo(x, y-q, q);\nif (y <= 0)\nreturn foo(x-q, y, q);\nreturn foo(x, y-q, q) + foo(x-q, y,q)\nint main()\n{\nint r = foo(15,15,10);\nprintf ('\"/.d\", r) ;\nreturn 0;\n}\nThe output of the program upon execution is __________", - "answer_text": "60", - "explanation_text": "Sol.\n30\n30\nfoo (15,15,10) = 60\n+\nfoo (15,5,10)\nfoo (5,15,10)\n10\n20\n20\n10\n+\nfoo (15,-5,10)\nfoo (5,5,10)\nfoo (5,5,10)\nfoo (-5,15,10)\n+\nfoo (5,-5,10)\nfoo (5,-5,10)\nfoo (-5,5,10)\nfoo (5,-5,10)\nfoo (-5,5,10)\nfoo (-5,5,10)\n+\n+\nfoo (-5,-5,10)\nfoo (-5,-5,10)\nfoo (-5,-5,10)\nfoo (-5,-5,10)\nfoo 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"id": "13", - "stream": "computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "NAT", - "key": "", - "question_text": "Question 13. \n \n \n \n \n \n \n \n \nNAT (1M)\nQuestion ID : 8232513116\n\nPAGE\n10\n\nConsider a complete binary tree with 7 nodes. Let A denote the set of first 3 elements obtained by \nperforming BFS starting from root. Let B denote the set of 3 elements obtained by performing DFS \nstate starting from root. The value of \nA\nB\n\u2212\n is_____\nAns \n1", - "answer_text": "", - "explanation_text": "Sol.\n \n consider the following complete binary tree\na\nb\nc\nd\ne\nf\ng\nA = set of first 3 elements obtained by BFS\nA = {a, b, c}\nB = set of first 3 elements obtained by DFS\nB = {a, b, d}\nA \u2212B\n = {c}\n|\n A \u2212B| = 1" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:f25bf7a2150bfec03c156c0c32ada9ad39cbe6f8be1fc766ef44c3c159020a09 +size 815 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/13/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/13/exp.webp index 24879354864aab49ffa8dcdd6afac9c3073761fb..cb5e18f097027262c6a9be9be030f764e075339c 100644 GIT binary patch literal 129 zcmWN|K@x)?3_#I6r|<$5Pz=G_5D0~twm1#C=;`a~zssTp*3UK`uOjo^ zdeWTwTg$;oUsm;&C#iASU|+L0iOArZOUjTTvSsu>+zJQ?K!L2Kk}!f_$ymHMQ<&Z6 Nl3SFtA5Xz;sQ%n9Cwl+@ literal 9186 zcmV<8BOTmQNk&H6BLDzbMM6+kP&gpYBLDzUn*f~wDr5ri06tM9kVYe+p`jx2N#Jk_ 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Node));\nhead->value = index;\nfor (index = 1; index <= 3; index++)\n{\nboxN = (struct Node *) malloc(sizeof(struct Node)); \nboxE->next = boxN; \nboxN->value = index; \nboxE = boxN; }\nfor (index = 0; index <= 3; index++) {\n\nPAGE\n11\n\nprintf (\"Value at index %d is %d\\n\", index, head->value);\nhead = head->next;\nprintf (\"Value at index %d is %d\\n\", index+1, head->value); } }\nWhich one of the statements below is correct about the program?\n(A) Upon execution, the program goes into an infinite loop.\n(B) It has a missing return which will be reported as an error by the compiler.\n(C) Upon execution, the program creates a linked-list of five nodes.\n(D) It dereferences an uninitialized pointer that may result in a run-time error.", - "answer_text": "(D)", - "explanation_text": "Sol.\n \nThe linked list of four nodes will be created.\nFirst node: value = 0\nSecond node : value = 1\nThird node : value = 2\nFourth node : value = 3\nThe last for loop will print the index number 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There exists a minimum edge weight in G which is present in every MST of G.\nS\n2\n. If every edge in G has distinct weights, then G has a unique MST.\nWhich of the following is true?\n(A)\n S\n1 \nis true and S\n2\n is false \n(B)\n S\n1 \nis false and S\n2\n is true\n(C)\n Both S\n1 \nand II are true \n \n(D)\n Both S\n1 \nand II are false", - "answer_text": "(B)", - "explanation_text": "Sol. \nGiven:\n G is a connected undirected weighted graph\nBy using Kruskal\u2019s algorithm to find MST, we sort the edges based on their weight and start \nselective edges from the smallest weight (w_small for example). \nProblem with S1: If we have multiple copies of w_small, then a specific w_small weighted edge is \nnot guaranteed to be selected by Kruskal. \nS2 is Correct: If the sorted order of the edges contains only distinct values, the Kruskal algorithm \nwill always select a unique set of edges resulting in an unique minimum spanning tree." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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a/frontend/public/assets/gate/cs/questions/2021-N/20/data.json b/frontend/public/assets/gate/cs/questions/2021-N/20/data.json index 9dfd259..7712de8 100644 --- a/frontend/public/assets/gate/cs/questions/2021-N/20/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-N/20/data.json @@ -1,11 +1,3 @@ -{ - "id": "20", - "stream": "computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "MCQ", - "key": "(B)", - "question_text": "Question 20. \n \n \n \n \n \n \n \n \nMCQ (1M)\nQuestion ID : 8232513108\nWhat is the worst case number of arithmetic operations performed by recursive binary search on a \nsorted array of size n?\n2\n(n )\n\uf051\n \n(B)\n\uf051\n( \n2\nlog\n n\n )\n(A)\n(C)\n\uf051\n(n) \n(D)\n(\n)\nn\n\uf051", - "answer_text": "(B)", - "explanation_text": "Sol.\n \nThe worst case occurs when we are searching for a key that is smaller than the smallest element of \nthe array or larger than the largest element of the array." -} \ No 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"computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "MCQ", - "key": "(C)", - "question_text": "Question 23. \n \n \n \n \n \n \n \n \nMCQ (2M)\nQuestion ID : 8232513128\n\nPAGE\n16\n\nSuppose we want to design a synchronous circuit that processes a string of 0's and 1\u2019s. Given a \nstring, it produces another string by replacing the first 1 in any subsequence of consecutive 1\u2019s by a \n0. Consider the following example.\nInput sequence: 00100011000011100\nOutput sequence: 00000001000001100\nA Mealy Machine is a state machine where both the next state and the output are functions of the \npresent state and the current input.\nThe above mentioned circuit can be designed as a two-state Mealy machine. The states in the Mealv \nmachine can be represented using Boolean values 0 and 1. We denote the current state, the next state, \nthe next incoming bit, and the output bit of the Mealv machine by the variables s, t, b and y \nrespectively. Assume the initial state of the Mealv machine is 0.\nWhat are the Boolean expressions corresponding to t and y in terms of .s and b?\n(A) \nt\nb\ny\nsb\n=\n=\n(B) \nt\ns\nb\ny\nsb\n=\n+\n=\n=\n(C) \nt\nb\n=\ny\nsb\n(D) \nt\ns\nb\ny\nsb\n=\n+\n=", - "answer_text": "(C)", - "explanation_text": "Sol.\nPresent State (\ns\n) Next State (\nt\n) O/P (\ny\n)\nb = \n0\n \nb\n = 1\n0 \n0,0 \n1,0\n1 \n0,0 \n1,1\nt\nsb\nsb\nb\ny\nsb\n=\n+\n=\n=" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:671b2fe2e89d949ea3c9a4185f1f7d6ede327ac30255fe3d954b68155f12ff12 +size 1468 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/23/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/23/exp.webp index 8ada0d7f261ce95f4f9f00e83b6eff56ed106f58..6f8f8f279b53ba229d29ab2c944b3dddd463a5c6 100644 GIT binary patch literal 129 zcmWN@K@!3s3;@78uiyig5K5^1O$kAmQR$f4gRi%z-BUi=$J@5!*mZU8(U04+>U7z@ zdE)VMx(mD0o6(Eawqc|-ise-u9s*QMH41qV*o3LhoKp!g L8SOu@6adX1v+*Yz literal 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Each instance can be owned by only one process at a time. Owning and freeing of resources are \ndone by holding a global lock (L). The following scheme is used to own a resource instance:\nfunction\n \nOwnRESOURCE(Resource\n \nR)\nAcquire lock L // a global lock\nif R is available then\nAcquire\n \nR\nRelease lock L\nelse\nif R is owned by another process P then\nTerminate P, after releasing all resources owned by P\nAcquire R\nRestart P\nRelease lock L\nend if\nend if\nend function\nWhich of the following choice(s) about the above scheme is/are correct?\n(A) The scheme ensures that deadlocks will not occur.\n(B) The scheme violates the mutual exclusion property.\n(C) The scheme may lead to live-lock.\n(D) The scheme may lead to starvation.", - "answer_text": "(A), (C),(D)", - "explanation_text": "Sol. \nMutual exclusion is not violated.\nAlso, there will be no deadlock because of forceful preemption of resources.\nThis may lead to starvation if the process is keeps on coming and preempting each other like P1 is \npreempted by P2 and P2 is preempted by P3.\nLive-lock is also possible due to continuous preemption of resources.\nFor option (c) consider two processes P1 and P2 now P1 enter the code acquires lock and resource.\nNow P2 enters the else part kills P1 and acquire R and restart P1 Now P1 again acquire lock and kills \nthe process P2 this continues creating a live lock scenario but there is ambiguity in the code since \n\u201cRelease R\" is not written anywhere so ambiguity is regarding how the process will release Resource \nR. 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and minimize throughput.\n(D) Turnaround time includes waiting time.", - "answer_text": "(A), (B), (D)", - "explanation_text": "Sol.\n \nOption A: Round Robin policy can be used even when the CPU time required by each of the \nprocesses is not known in apriori. This is True because Round Robin policy depends on time \nquantum.\nOption B: Implementing preemptive scheduling needs hardware support. This is True because \npreemption needs interrupt to occur.\nOption C: The goal is to only maximize CPU utilization and minimize throughput, this is False\nOption D: True, because turn around time = WT+BT" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:f14367bba3f133f90745b5240179e985a45acb54cc658935ed8e1628d3978531 +size 1189 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/29/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/29/exp.webp index 11b784bebf7e66b26db6be81cf4f8f6f9ae44d6d..099b0c71d31fb69fcfe51a63c01daf5c63682a13 100644 GIT binary patch literal 130 zcmWN?OA>-G3;@tQr{Dt8Z<3bVgeKU|s4%v&@bvmN@6vZ~$7`-*oP9Os-p1{*_vL^6 zY)d(wrk`5O<))*_+$(#)6|E;p>~#lKB+8xzsR*zYmm()AE+g1N8w2f8Fry=I3alY$ NoO=7}>_WwFN{dDV%|1XkF;}7V+k>2=z z6ZyaN&+Xr=ztewWJ+=HJ;{T)nU;Tgnx%*M^#h$+?{onmRp&!M*yZzt$Pwn6LU*0c& zKc)Uje_ixX@juW1vHnQ>0e&U?clzJ7SH8+rR((mH6-Tf9hY{e`kNj|N8s@{vZ60`rr27+E4F)|G(ya4gBl;e~U-W 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"computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "MCQ", - "key": "(D)", - "question_text": "Question 3. \n \n \n \n \n \n \n \n \nMCQ (2M)\nQuestion ID : 8232513098\nThe number of students in three classes is in the ratio 3 : 13 : 6. If 18 students are added to each\nclass, the ratio changes to 15 : 35 : 21.\nThe total number of students in all the three classes in the beginning was:\n(A)\n \n110 \n(B) 66 (C) 22 \n(D) 88", - "answer_text": "(D)", - "explanation_text": "Sol. \nGiven :\nThe ratio of number of students of three classes is \n3:13:6\n=\nLet the number of students in each class is \n3 ,13 ,6\nx\nx\nx\n\nPAGE\n3\n\nTherefore the ratio will become\n3 :13 :6\nx\nx\nx\nAfter implementing the given condition,\n3\n18\n15\nx\ny\n+\n=\n \n \n \n \n\u2026(i)\n13\n18\n35\nx\ny\n+\n=\n18\n21\nx\ny\n+\n=\n \n \n \n \n\u2026(ii)\n2 3\n18 2\n15\n2\nx\ny\n\uf0b4\n+\n\uf0b4\n=\n\uf0b4\n6\n18\n21\nx\ny\n+\n=\n6\n36\n30\nx\ny\n+\n=\n6\n18\n21\nx\ny\n+\n=\n4\nx\n =\n \n2\ny\n =\n\uf05c\n The total number students in all the three classes in the beginning\n22\n22 4\n88\nx\n=\n=\n\uf0b4=" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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"question_text": "Question 36. \n \n \n \n \n \n \n \n \nNAT (1M)\nQuestion ID : 8232513117\nConsider the following DFA deterministic finite automaton\nThe number of strings of length 8 accepted by the above automation is _______.", - "answer_text": "256", - "explanation_text": "Sol. \nGiven:\n0\n0\n0,1\n1\n0,1\n0\n0,1\n1\n1\nOn observing clearly, it is accepting every string of length 8.\n8\n2\n256\n=\n string\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:f3528b1ad09125b925dbac294a340338c5ee0dae71dbf9db1018062995a14ee9 +size 573 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/36/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/36/exp.webp index db1788d2e48c6f884ca2a2dade736e558b50a54e..cdde0ba0d0645228bb903534d3a5a9fc31c4866d 100644 GIT binary patch literal 129 zcmWN?OA^8$3;@tQr{Dq>!l#hlri4V8QRztS!qe;9yo=wnkC$%edCbk2dp~avnalt7 zDGQCKnFo`(K#gAYY`cr=#x8KNMHrFxL{%s{^e)99m?S|#TL`kV0f{naPe3&b+DIJ0 MgPQ%zdbQE2ALKJ9oB#j- 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38. \n \n \n \n \n \n \n \n \nMSQ (2M)\nQuestion ID : 8232513147\nWhich of the following regular expressions is the set of all binary numbers is divisible by 3.\nAssume that the string epsilon is also divisible by 3.\n\nPAGE\n27\n\n(A) (0*(1(01*0) *1) *) *\n(B) (0 + 11+10(1 +00) *01) *\n(C) (0 + 1(01*0) *1) *\n(D) (0 + 11+11(1+00) *00)", - "answer_text": "(A), (B), (C)", - "explanation_text": "Sol.\n \nA, B, C are correct\nIn option D\n*\n(0 11 11(1 00) 00)\n+\n+\n+\n4 3 2 1 0\n111 0 0\n generated by D but not\n\nDivisible by 3." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:4642c52f164a08124cb22076b9b21776c355c2900723109a9b3ceaa29c40f6ed +size 723 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/38/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/38/exp.webp index 4e32c9c8295637d925c684ba381e3843336f57e2..2fcece129f34578e8e14a54e159b3f23521e877e 100644 GIT binary patch literal 129 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terminals\n'\nS\nS\n\u23af\u23af\u2192\n#\nS\nS\ncS\n\u23af\u23af\u2192\nS\nSS\n\u23af\u23af\u2192\n@\nS\nS\n\u23af\u23af\u2192\nS\nS\n\u23af\u23af\u2192\uf03c\n\uf03e\nS\na\n\u23af\u23af\u2192\nS\nb\n\u23af\u23af\u2192\nS\nc\n\u23af\u23af\u2192\nLet \n0\nI\n =\n CLOSURE \n(\n)\n{ '\n}\nS\nS\n\u2192\uf0d7\n. The number of items in the set GOTO (GOTO \n0\n(\n, ),\nI\n \uf03c\uf03c\n)\nis_________.", - "answer_text": "8", - "explanation_text": "Sol.\n1\n.\nS\nS\n\u2192\n.\n#\nS\nS\nc S\n\u2192\n\uf03c\n.\nS\nS\n\u2192\uf03c\n\uf03e\n.\nSS\n\u2192\n.\n@\nS\n\u2192\n.\n#\nS\nS\nc S\n\u2192\n.\nS\n\u2192\uf03c\n\uf03e\n.\na\n\u2192\n.\nSS\n\u2192\n.\n@\nS\n\u2192\n.\nb\n\u2192\n\uf03c\n.\nS\n\u2192\uf03c\n\uf03e\n.\na\n\u2192\n.\nc\n\u2192\n.\nb\n\u2192\n.\nc\n\u2192\nNumber of items in the set GO TO (GOTO (IO, <), <) is 8" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:869bbf76282709eb6aa3a63b35b06d98c8596a30199854db4542d2f2c56bf9ab +size 1194 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/40/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/40/exp.webp index 1ea5c30f84db747ce821cf946e77df32c89631c8..582da82cd88a64759723849463082f92bafa0511 100644 GIT binary patch literal 129 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(allocated on the heap) containing two fields fl and f2. \nand the local variables x. y. z, p. q. and i are allotted registers. Common sub-expression elimination \n(CSE) optimization is applied on the code. The number of addition and dereference operations (of the \nform y->f 1 or y->f2 ) in the optimized code, respectively, are:\n(A)\n \n303 and 2\n\nPAGE\n30\n\n(B)\n \n 203 and 2 \n(C)\n \n 403 and 102 \n(D)\n \n303 and 102", - "answer_text": "(A)", - "explanation_text": "Sol. \nIn compiler theory, common subexpression elimination is a compiler optimization that searches for \ninstances for identical expressions (i.e, they all evaluate to the same value), and analyzes whether it is \nworthwhile replacing them with a single variable holding the computed value.\nFor example: Consider the following block of code\na = x+y+z;\nr = p+q;\nb = x+y+r;\nThe code after common subexpression elimination.\nt=x+y;\na=t+z;\nr=p+q;\nb=t+r;\nIn the given code z = x + 3 + y -> f1 + y -> f2;\nfor (i = 0; i < 200; i = i+2) {\nif (z > i)\n{\np = p + x + 3;\nq = q + y -> f1;\n}\nelse\n{\np = p + y -> f2;\nq = q + x + 3;\n}\n}\nX+3 is common subexpression, also y -> f1 & y -> f2 is found in first line itself so they are also like \ncommon subexpression. Hence the code after common subexpression\nt1=x+3;\nt2=y -> f1;\nt3= y -> f2;\nz = t1 + t2 + t3;\n\nPAGE\n31\n\nfor (i = 0; i < 200; i = i+2){\nif (z > i) {\np = p + t1;\nq = q + t2;\n}\nelse{\np = p + t3;\nq = q + t1;\n}\n}\nHence two dereference operations (of the form y->f1 or y->f2) in the optimized code. The number of \nadditions in the optimized code are: Loop will execute for 100 times and in loop one addition (i+2) \nSo 100 additions. Inside loop we have two additions (either in if block or in else block) so 200 \nadditions inside loop.\nHence 300 additions in loop (loop body as well as inside)\nFirst 2 lines contains 3 additions\nt1=x+3;\nz = t1 + t2 + t3;\nHence total 303 additions. 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L2 is the larger of the two.\nConsider the following statements.\n1\n :\nS\n Read misses in a write through L1 cache do not result in writebacks of dirty lines to the L2.\n2\n \n:\nS\n Write allocate policy must be used in conjunction with write through caches and no-write\nallocate policy is used with writeback caches.\nWhich of the following statements is correct?\n(A) \n1\nS\n is true and \n2\nS\n is true\n(B) \n1\nS\n is false and \n2\nS\n is false\n(C) \n1\nS\n is true and \n2\nS\n is false\n(D) \n1\nS\n is false and \n2\nS\n is true", - "answer_text": "(C)", - "explanation_text": "Sol.\n \nA cache with a write through policy (and write allocate) reads on entire block (cache line) from \nmemory on a cache miss and writes only the updated item to memory for a store.\n\nPAGE\n32\n\nEvictions do not need to write to memory.\nA cache with a write back policy (and write allocate) reads an entire block (cache line) from memory \non a cache miss, and may need to write a dirty cache line first. Any writes to memory need to be \nentire cache lines since there is no way to distinguish which word was dirty with only a single dirty \nbit. Evictions of a dirty cache line cause a write to memory\nS2: false\nWrite allocate policy is also used with write back cache." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:70a7083a09d33ee292fa05e721e953eefaba2a5870e44767bdb4269817afbf2d +size 1589 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/44/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/44/exp.webp index 30743671dad596db4d2c1b7cfc53f887f0146372..507c92c8b5dc293e40d6f7755f06816893a8c5b7 100644 GIT binary patch literal 130 zcmWN?K@!3s3;@7;U%>|~fuV%Dr5r706tM7jzlA(Ar(5-XgCD~ zvA1;SEAOvv`ueBzo^{r*?mvruHh*8>-&A=@^0)gBxKEsa?0?<+4E*{3Gu#vP5B=Bm zf5oqiAK1@x-`juPdVu~#{TKdM_rKr&m9O+4>%Y-^nf-YGi~bk=kH`n|-|IfI-}60( zzp?+R_6GiO{jbvF|0nuSgP-gF?Em)vtN*R?BmE!zFaEFGkN^K5ANoB&I+gm9{a5<0 zi0{k4q5o(7Y5ue6KjFU^{Wtq(>{sAMl^+{RjRd^}Fn!*#F1>wf^Dz z$?y;O5AYwg-`M>X{A2UK>mT2LXTP@mfqo>?f%#N zXRsHj|0w?x{lolM{eSVk*`9Cxd;A~mH}((z|0Dh({S*3kme*Mn>IranmSNUi6uk7FBf876i|NsA2@YnW_ 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The data file is sorted on the primary key RollNo. The size of a record pointer for this disk is 7 \nbytes. Each student-record has a candidate key attribute called ANum of size 12 bytes. Suppose an \nindex file with records consisting of two fields. ANum value and the record pointer to the \ncorresponding student record, is built and stored on the same disk. Assume that the records of data \nfile and index file are not split across disk blocks. The number of blocks in the index file is_____", - "answer_text": "698 Blocks", - "explanation_text": "Sol.\n \nGiven the total records = 1,50,000\nBlock size \n4096bytes\n=\nKey size = 12 bytes\nRecord pointer size = 7 bytes\nFor a dense index, the number of indexes per block = floor (4096/(12+7)) = 215\nTherefore, the total number of blocks = cell (1,50,000/215) = 698 blocks" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:a47eddaf1130824653424cb104a2f2d45a12e99e580213cab1ba82688c69516b +size 1198 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/46/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/46/exp.webp index 2ee574f7171c4fd12998c5b6ce2dae90a1098202..5639d356a1f650381a0258152ca3e7034d5d6c18 100644 GIT binary patch literal 129 zcmWN?%MrpL5CG6SRnUMzmVdf|Wf5jnGA_x%>h)dTMIRpXE&Eyr?@B$!x;-0j|NB`s zoG--(p}Mq~qe|`>oZmx%yKNCM7XvOCM6b~R5H>=>5`zxLBx^C}(mYh{d@VXRpj4x) Lg2$I+h%SmB=r$-* literal 7692 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S is conflict serializable.\nQ. It \nT\n3\n commits before \nT\n1\n finishes, then schedule S is recoverable.\nWhich of the following is true ?\n(A) Both P and Q are true\n(B) P is true and Q is false\n(C) Both P and Q are false\n(D) P is false and Q is true", - "answer_text": "(B)", - "explanation_text": "Sol.\ni.\n \nThe given schedule is a conflict serializable and the precedence graph for the given\nschedule is\nii.This statement is false. For the given condition it is irrecoverable. 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T\nP\nQR\n\u2192\nRS\nT\n\u2192\nWhich of the following functional dependencies can be inferred from the above functional\ndependencies?\n(A)\n PS\nQ\n\u2192\n \n(B) \nP\nR\n\u2192\n \n(C) \nR\nT\n\u2192\n \n(D) \nPS\nT\n\u2192", - "answer_text": "(A), (B), (D)", - "explanation_text": "Sol.\n \nFor the given F\u2019Ds, the closure of the attributes will be \n \n \n{ ,\n, }\nP\nP Q R\n+ =\n{ , , }\nRS\nR S T\n+ =\n\nPAGE\n34\n\n{ , ,\n, , }\nPS\nP S Q R T\n+ =\n{ }\nR\nR\n+ =\nBased on these, the FD\u2019s\nPS\nT\n\u2212\uf03e\nP\nR\n\u2212\uf03e\n \n \n \nPS\nQ\n\u2212\uf03e\nHolds for the given relation\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:2480fae9fab1a8b4ac2d79c960403027a6d1ac6bc58fe68b902ec7f6a48944b0 +size 982 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/48/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/48/exp.webp index 6e754dad4fa1ea61a7cc852a6a9a862116487e78..dd4a4068a95f015e6b3d35d9c1264f53316dd4df 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The group by clause will group \nthe tuples based on dept id, count (*) will give us the count of tuples in each department where \ngender = female and the salary > average salary of any employee.\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:453ecf082ea481606a8ff6ffde0c39ba310b3402ab1d27fc3d0458473d56ac7f +size 1487 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/49/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/49/exp.webp index 4c8aa5ace49bc7be089acb210b43d5432316f0e6..2a1794a2341bdf2f4758e3e5c0c810bde92ceed4 100644 GIT binary patch literal 130 zcmWN?K@!3s3;@78uiyig0);?-LmDE?sB{eW;OliSd)2q}@zQP1Q+8wSecm1{%m4Pl z%HC%th6?C#s|buKKnw{W MD(T;mj1>4gZ2;l&+M1N$MZfg zdQbe+g8FyzukgRvKfr&|{^#vo>0jBus{cs;L;Uyu|H^-te=+{s`4j#Z|EJ&w@o(gx z*#ETt(*Jb-{r=nR5AGl1f1`O?{b&0(`7iVzj^AKE#s8ImcK+r5L;aulzyJU4KM+4~ z|AYPe{U82c@n8S_=KfXvr~T*nKk{F&KVVnfGYK~2~4Oke$fqaX4EwBG_q|6#RJ37%8J 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b/frontend/public/assets/gate/cs/questions/2021-N/5/data.json @@ -1,11 +1,3 @@ -{ - "id": "5", - "stream": "computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "MCQ", - "key": "(B)", - "question_text": "Question 5. \n \n \n \n \n \n \n \n \nMCQ (1M)\nQuestion ID : 8232513094\n2\n2\n1\n3\n2\n2\n2\nx\nx\nx\n\uf0e6\n\uf0f6\n\uf0e6\n\uf0f6\n\u2212\n\u2212\n\u2212\n=\n+\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n\uf0e8\n\uf0f8\nIf\n, then value of x is.\n(A)6 \n(B) \n4 \n(C) \n8 \n(D) \n2", - "answer_text": "(B)", - "explanation_text": "Sol. \nGiven:\n2\n2\n1\n3\n2\n2\n2\nx\nx\nx\n\uf0e6\n\uf0f6\n\uf0e6\n\uf0f6\n\u2212\n\u2212\n\u2212\n=\n+\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n\uf0e8\n\uf0f8\n\n\n1\n3\n1\n3\n2\n2\n2\n2\n2\nx\nx\nx\nx\nx\n\uf0e6\n\uf0f6\uf0e6\n\uf0f6\n\u2212\n\u2212\n+\n\u2212\n+\n\u2212\n=\n+\n\uf0e7\n\uf0f7\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\uf0e8\n\uf0f8\n\n\nPAGE\n4\n\n2\n2\n2\nx\nx\n\u2212=\n+\n\uf05c\n \n4\nx\n =" -} 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a/frontend/public/assets/gate/cs/questions/2021-N/50/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-N/50/data.json @@ -1,11 +1,3 @@ -{ - "id": "50", - "stream": "computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "MSQ", - "key": "(B), (C)", - "question_text": "Question 50. \n \n \n \n \n \n \n \n \nMSQ (2M)\nQuestion ID : 8232513145\nConsider a computer network using the distance vector routing algorithm in its network layer.\nThe partial topology of the network is as shown below.\n\nPAGE\n35\n\nThe objective is to find the shortest-cost path from the router R to routers P and Q. Assume that R \ndoes not initially know the shortest routes to P and Q. Assume that R has three neighbouring routers \ndenoted as X, Y. and Z. During one iteration, R measures its distance to its neighbours X, Y, and Z \nas 3, 2, and 5, respectively. Router R gets routing vectors from its neighbours that indicate that the \ndistance to router P from routers X, Y, and Z are 7, 6, and 5, respectively. The routing vector also \nindicates that the distance to router Q from routers X. Y, and Z are 4, 6, and 8 respectively. Which of \nthe following statement(s) is/are correct with respect to the new routing table of R, after updation \nduring this iteration?\n(A) The distance from R to P will be stored as 10\n(B) The next hop router for a packet from R to P is Y\n(C) The distance from R to Q will be stored as 7\n(D) The next hop router for a packet from R to Q is Z", - "answer_text": "(B), (C)", - "explanation_text": "Sol. \nFrame size \n( )\n1000 bits\nL\n =\nData rate \n( )\n1 Mbps\nR\n =\n3\nL\nt\nR\n=\n=\n=\n6\n10 bits\n1 ms\n10 bits/sec\nf\n\nTotal no. of frames transmitted per sec = 1000\n1 ms\nf\nt\n =\n\nSo \n1\nG\n =\nThroughput\nG\nG\ne\n\u2212\n=\n\uf0b4\n1\ne\n\u2212\n=\n0.367\n=\nNote : \nG\n =\nno. of frames transmitted per frames to transmission time." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:6bfe0de331305f647b8fea6dcf561f2c8c45d3a949738247077aa5f8e214ff8b +size 1792 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/50/exp.webp 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--- a/frontend/public/assets/gate/cs/questions/2021-N/51/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-N/51/data.json @@ -1,11 +1,3 @@ -{ - "id": "51", - "stream": "computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "MCQ", - "key": "D", - "question_text": "Question 51. \n \n \n \n \n \n \n \n \nMCQ (2M)\nQuestion ID : 8232513134\nConsider the cyclic redundancy check (CRC) based error detecting scheme having the generator\npolynomial \n3\n1\nX\nX\n+\n+\n . Suppose the message \n4\n3\n2\n1\n0\n1100\nm m m m m\n =\nis to be transmitted. Check bits\n\nPAGE\n36\n\n2 1 0\nc c c\n are appended at end of the message by the transmitter using the above CRC scheme. The\ntransmitted bit string is denoted by \n4\n3\n2\n1\n0 2 1 0\nm m m m m c c c\n . The value of the check bit sequence \n2 1 0\nc c c\n is\n(A)\n \n111 \n(B) \n110 (C) \n101 (D) \n100", - "answer_text": "D", - "explanation_text": "Sol.\n \nGenerator: X\n3\n + X + 1 = > 1011\nData: 11000\n\n1011 | 1 1 0 0 0 0 0 0\n1 0 1 1\n1 1 1 0\n1 0 1 1\n1 0 1 0\n1 0 1 1\n0\n \n1 0 0 => CRC" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:afeaac8baead42719e9bb32ca198077aec0e13ad51bc78d239e7a8aa6ee4c456 +size 959 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/51/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/51/exp.webp index 163c51dce740d0941cdc43e1f6c19fded427d617..3a30cd52870a72479fd937748920b04ea60836d2 100644 GIT binary patch literal 129 zcmWN^K@x)?3;@8puiyif5J7^!0Stwiwm1!X=mOCeIAqiM*~a5lWWKFu znsa|^IXLUfOug+&YDBkg0SRM3gFs4=?aiNk&G<4*&pHMM6+kP&gpG4*&o#U;v!~Dr5q>06tMDkwzn;p`ju(8DMY< z31@EMbx{o9n)lvwl-sYQO85^I{mb&_Q*SU1dOl!0-GA8sfcBTX<>-O>tJg=71Lfc8 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This coin is tossed \n1000 times. Let X denotes the random variable whose value is the number of times that head \nappeared in those 1000 tosses. The standard deviation of X (rounded to 2 decimal points) is________", - "answer_text": "15.0 to 16.0", - "explanation_text": "Sol.\n \nGiven : \nProbability of head, \n0.4\np\n =\nProbability of tail, \n1\n0.6\nq\np\n= \u2212\n=\nCoin is tossed 1000 times, \n1000\nn\n =\nLet X is a random variable whose value is number of times head appeared in those 1000 tosses\nWe know that, for binomial distribution\nmean\nnp\n=\nvariance\nnpq\n=\nWhere \n1\nq\np\n= \u2212\nSo, standard deviation, \nnpq\n\uf073=\n1000 0.4 0.6\n240\n15.49\n\uf073=\n\uf0b4\n\uf0b4\n=\n=\n\nPAGE\n38\n\nHence, the correct answer is 15.49." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:ebafefeb076d871ff22b77c13b2267a6f689888fe87b4a45918bedc1b62a5b40 +size 1112 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/54/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/54/exp.webp index 9bd1edae61af47a45a3d51bd9aaeb365cbef1f4d..a216a41cb095ac731df2444e5073bb31089bf03b 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8232513133\nA bag has r red balls and b black balls. All balls are identical except for their colours. In a trial, a ball \nis randomly drawn from the bag, its colour is noted and the ball is placed back into the bag along \nwith another ball of the same colour. Note that the number of balls in the bag will increase by one, \nafter the trial. A sequence of four such trials is conducted. Which one of the following choices gives \nthe probability of drawing a red ball in the fourth trial?\n(A) \n1\n2\n3\n1\n2\n3\nr\nr\nr\nr\nr\nb\nr\nb\nr\nb\nr\nb\n+\n+\n+\n\uf0e6\n\uf0f6\uf0e6\n\uf0f6\uf0e6\n\uf0f6\uf0e6\n\uf0f6\n\uf0e7\n\uf0f7\uf0e7\n\uf0f7\uf0e7\n\uf0f7\uf0e7\n\uf0f7\n+\n+\n+\n+\n+\n+\n+\n\uf0e8\n\uf0f8\uf0e8\n\uf0f8\uf0e8\n\uf0f8\uf0e8\n\uf0f8\n3\nr\nr\nb\n+\n+\n+\n(B) \n3\n(C) \n3\nr\nr\nb\n+\n+\n(D) \nr\nr\nb\n+", - "answer_text": "(D)", - "explanation_text": "Sol. \nThere are 10 favorable ways to calculate the probability of red ball in 4\nth\n trial\n(\n)\n(\n)\n1 way\nRBR R\nR BRR R\n=\n=\nOr \n \n(\n)\n3 ways or (\n)\n3 ways\nRRR\nBBB R\n=\n=\n1\n2\n2\n(\n)\n1\n2\n3\nr\nr\nr\nP RRRR\nr\nb\nr\nb\nr\nb\nr\nb\n+\n+\n+\n=\n\uf0b4\n\uf0b4\n\uf0b4\n+\n+ +\n+\n+\n+ +\n \n \n\u2026 (i)\n1\n2\n(\n)\n1\n2\n3\nb\nb\nb\nr\nP BBBR\nr\nb\nr\nb\nr\nb\nr\nb\n+\n+\n=\n\uf0b4\n\uf0b4\n\uf0b4\n+\n+\n+\n+\n+\n+\n+\n \n \n\u2026 (ii)\n+\n=\n\uf0b4\n\uf0b4\n\uf0b4\n+\n+\n+\n+\n+\n+\n\uf0b4\n+\n+\nr\nr\nb\nP RRBR\nr\nb\nr\nb\nr\nb\nr\nr\nb\n3!\n1\n(\n)\n2!\n1\n2\n2\n\n\n3\n\u2026 (iii)\n+\n=\n\uf0b4\n\uf0b4\n\uf0b4\n+\n+\n+\n+\n+\n+\n\uf0b4\n+\n+\nb\nb\nr\nP BBRR\nr\nb\nr\nb\nr\nb\nr\nr\nb\n3!\n1\n(\n)\n2!\n1\n2\n1\n\n\n3\n\u2026 (iv)\nRequired probability\n(i)\n(ii)\n(iii)\n(iv)\n=\n+\n+\n+\n\nPAGE\n40\n\n+\n+\n+\n+\n+\n+\n+\n+\n+\n+\n+\n+\n=\n+\n+\n+\n+\n+\n+\n+\nr r\nr\nr\nb b\nb\nr\nr r\nb r\nb b\nr r\nr\nb r\nb\nr\nb\nr\nb\n(\n1)(\n2)(\n3)\n(\n1)(\n2)\n3 (\n1) (\n2)\n3 (\n1) (\n1)\n(\n)(\n1)(\n2)(\n3)\n\nOn solving it we get,\n(\n1\n)\n(\n)(\n1)\nr r\nb\nr\nr\nb r\nb\nr\nb\n+ +\n=\n=\n+\n+\n+\n+\nHence, the correct option is (A).\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:79a846551b607366d6416c229bd3bbd298d231b8740310c1b90dcb68a25126ac +size 2295 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/57/exp.webp 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b/frontend/public/assets/gate/cs/questions/2021-N/58/data.json @@ -1,11 +1,3 @@ -{ - "id": "58", - "stream": "computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "MCQ", - "key": "(D)", - "question_text": "Question 58. \n \n \n \n \n \n \n \n \nMCQ (2M)\nQuestion ID : 8232513129\nIn an examination, a student can choose the order in which two questions (QuesA and QuesB) must \nbe attempted.\n-If the first question is answered wrong, the student gets zero marks.\n-If the first question is answered correctly and the second question is not answered correctly, the \nstudent gets the marks only for the first question.\n-If both the questions are answered correctly, the student gets the sum of the marks of the two \nquestions.\nThe following table shows the probability of correctly answering a question and the marks of the \nquestion respectively.\nquestion probability of answering\nmarks\ncorrectly\nQuesA 0.8 \n 10\nQuesB 0.5 \n 20\nAssuming that the student always wants to maximize her expected marks in the examination, in \nwhich order should she attempt the questions and what is the expected marks for that order (assume \nthat the questions are independent)?\n(A)First QuesA and then QuesB. Expected marks 14.\n(B)First QuesB and then QuesA. Expected marks 22.\n(C)First QuesB and then QuesA. Expected marks 14.\n(D)First QuesA and then QuesB. Expected marks 16.", - "answer_text": "(D)", - "explanation_text": "Sol. \nLet \nX\n be random variable which represents total marks record.\n( )\nP x\n be\n \nprobability of getting those marks\nP\n (answering Ques A correctly) =0.8\nP\n (answering Ques B correctly) =0.5\n\n\nPAGE\n41\n\nX\n \n0\n \n10 \n20 \n30\n0.2 0.5\n\uf0b4\n0.8 0.5\n\uf0b4\n0.5 0.2\n\uf0b4\n0.8 0.5\n\uf0b4\n( )\nP x\n=0.1\n=0.4\n=0.1\n=0.4\n\n( )\n1\nP x\n =\n\uf0e5\nCase I, if Question A is attempted first and it is correct.\n( )\n( ) ( )\nE x\nx P x\n= \uf053\n( )\nE x\n0.4 10\n0.4 30\n=\n\uf0b4\n+\n\uf0b4\n( )\nE x\n4 12\n16\n=\n+\n=\nCase II, If Question B is attempted first and is correct.\n( )\n( ) ( )\nE x\nx P x\n= \uf053\n( )\nE x\n0.1(20)\n0.4(30)\n=\n+\n( )\nE x\n2 12\n14\n=\n+\n=\nSo, Case I is giving maximum expected marks.\nHence, the correct option is (D)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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b/frontend/public/assets/gate/cs/questions/2021-N/59/data.json @@ -1,11 +1,3 @@ -{ - "id": "59", - "stream": "computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "MSQ", - "key": "(B), (D)", - "question_text": "Question 59. \n \n \n \n \n \n \n \n \nMSQ (1M)\nQuestion ID : 8232513111\nConsider the following sets, where n \u2265 2\nS1: Set of all n x n matrices with entries from the set {a, b, c}\nS2: Set of all functions from the set {0, 1, 2, \u2026., n\n2\n-1} to the set {0, 1, 2}\nWhich of the following is possible?\n(A) There does not exist an injection from S1 to S2 .\n(B) There exists a surjection from S1 to S2.\n(C) There does not exist a bijection from S1 to S2.\n(D) There exists a bijection from S1 to S2.", - "answer_text": "(B), (D)", - "explanation_text": "Sol.\n \nS1: For n \u00d7 n matrices n\n2\n entries will be there, for each entry we are having 3 choices, one of a, b and \nc. therefore total possible ways matrix can be built is 3\nn^2\n, i.e., 3\nn^2 \nelements in Set 1\nS2: Set A consists element from 0 to n\n2\n \u2013 1, in totality n\n2\n elements are there, in Set B only 3 elements \nare there namely 0,1,2. Therefore total number of functions possible from Set A to Set B are 3\nn^2\n. i.e., \n3\nn^2\n elements in Set 2\nTherefore, both Bijection and Surjection may exist from Set1 to Set 2 as both are having same \nnumber of elements." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:5941a9dba188d78b05b22f3d6771a8af33b9f75d69592abffd0812d449163ece +size 1339 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/59/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/59/exp.webp index ec1d4520a5ab1c3caafdcdc7a6ad55fb2ca1e8c4..33c5e8f4235101d200b7bba639f51beb3b14df77 100644 GIT binary patch literal 130 zcmWN?OA^8$3;@tQr|1PN5I%w4CZwq_qtX%V!qe;9yi4Ar_19A8JjbT>z0KR>80-J~ zDJ%D<9;dLrtmACnx{_ literal 14794 zcmV;*IW@*oNk&G(IRF4xMM6+kP&gpAIRF6An*f~wDr5q206tM9k3}P*ArqLjy8{MbFzc2os{g?IA`{$$ohkSGN@9UqkU)H~F z{tZ8X@XzNTrhlRS_v%0KAFY3O{?+~y{ipYD-XDlRt$t$pi}=UtAKkyLe&qZCekuH4 z`#<&{+mG&^lz-%ZVeY!mzrp{Y{}KD8@CE6A$G^dUXa4E`Kl|^pf1`hE{`vbY{Tu)P 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"explanation_text": "Sol. \nThe structure as\u2026as is used to compare things that are of similar proportion. 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What is the maximum cardinality possible for the set \u00a3?\n(A) 10\n(B) 11\n(C) 9\n(D) 100", - "answer_text": "(A)", - "explanation_text": "Sol. \nGiven:\nn\n=\n=\n\uf0d7\n\uf0e5\n(\n)\ni\ns P Q\nP i Q i\n1\n( ,\n)\n[ ]\n[ ]\nS\n(\nP, Q\n) is nothing but the dot product of two vectors.\nThe dot product of two vectors is zero when they are perpendicular, as we are dealing with 10\ndimensional vectors the maximum number of mutually-perpendicular vectors can be 10.\nTherefore, the maximum cardinality possible for the set \n\u00a3." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:f5e317f889b7302fc6ee8397b6bf56f70367f5c344b326f4b050d160fddca256 +size 1119 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/60/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/60/exp.webp index 49f6f30f3ad194297356deb76aba0b34088f254c..81c8201909fa1d926797ed286f6eef28ff7b8981 100644 GIT binary patch literal 130 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"stream": "computer-science-information-technology", - "packet": "2021-N", - "year": "2021", - "type": "NAT", - "key": "59049", - "question_text": "Question 62. \n \n \n \n \n \n \n \n \nNAT (2M)\nQuestion ID: 8232513150\n\nPAGE\n43\n\nLet S be a set consisting of 10 elements. The of tuples of the form (A, B) such that A and B are \nsubsets of S, and \nA\nB\n\uf0cd\n is ____", - "answer_text": "59049", - "explanation_text": "Sol.\n \nAs B is subset of S, B set can have any number of elements from set S, and for each type of B subset, \nfurther A can have any number of elements from B, therefore\nAll the possibilities can be summarised below: -\n\nNumber of Elements in B \nNumber of elements in A\n\nNo element \nNo Element\n\n1\n1\n0\n1\n2\nC\nC\n+\n=\n10\n1\nC\n1 =>\n\n2\nC\n \n2\n2\n2\n2\n0\n1\n2\n2\nC\nC\nC\n+\n+\n=\n10\n2 =>\n\n. \n.\n\n. \n.\n\n. \n.\n\n10 => 10C10 \n10\n10\n10\n2\n10\n10\n0\n1\n2\n10\n(2)\n(2 )\n(2 )\nC\nC X\nC X\nC X\n+\n+\n+\u2212\u2212\u2212+\n\n\nOverall number of tuples will be:\n10\n10\n10\n2\n10\n10\n0\n1\n2\n10\n(2)\n(2 )\n(2 )\nC\nC X\nC X\nC X\n+\n+\n+\u2212\u2212\u2212+\nFrom binomial theorem, it is coming out to be \n10\n3\n59049\n=" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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directed edges as back edges. \n(B)\n \nThe graph does not have strongly connected components. \n(C)\n \nFor each pair of vertices u and v, there is a directed path from u to v. \n(D)\n \nThe graph does not have a topological order.\ns", - "answer_text": "(A), (D)", - "explanation_text": "Sol. \nGiven:\n\nPAGE\n45\n\nWe can observe that,\ns\nA) There are only 3 back edges, if started from S.\nB) The graph does have a strongly connected component, it has cycle.\nC) Not all rectangular/square components form a cycle.\nD) The graph does not have a topological order, because there\u2019s a cycle in the bottom left corner of \nthe graph\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:a8d84bf8d15b5b271fa02df2e5b60631d54d7a3dfdd8bb88f4dab617cf34b519 +size 1065 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/64/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/64/exp.webp index 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WB is Write Back cache and WT is Write through cache. Winch of the following statements \nare false?\n1 Mark MSQ\n(A) Every write hit in WB leads to a data transfer from cache to main memory\n(B) Eviction of a block from WT will not lead to data transfer from cache to main memory\n(C) A read miss in WB will never lead to eviction of a dirty block from WB\n(D) Each cache block in WB and WT has a dirty bit\n \nA and C", - "question_text": "Question 13\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n8\n\nWhich facilitates transfer of bulk data from HDD to main memory with highest throughout?\n(A) Programmed I/O transfer\n(B) Interrupt driven I/O transfer\n(C) Polling based I/O transfer\n(D) DMA based I/O transfer.", - "answer_text": "D\nQ.14 \nLet WB and WT be 2 set associative cache organizations that use LRU algorithm for cache block\nreplacement. WB is Write Back cache and WT is Write through cache. Winch of the following statements \nare false?\n1 Mark MSQ\n(A) Every write hit in WB leads to a data transfer from cache to main memory\n(B) Eviction of a block from WT will not lead to data transfer from cache to main memory\n(C) A read miss in WB will never lead to eviction of a dirty block from WB\n(D) Each cache block in WB and WT has a dirty bit\n \nA and C", - "explanation_text": "Sol.\n \nA. Every write hit in WB leads to a data transfer from cache to main memory. False, for the hit operation\nno need to fetch the data from the main memory.\nB. Eviction of a block from WT will not lead to data transfer from cache to main memory\nFalse.\nC. A read miss in WB will never lead to eviction of a dirty block from WB\nD. Each cache block in WB and WT has a dirty bit\nTheory of Computation\n\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:2f14bf4ee16e34d130b68726f01c732a4afbb438628da34c190fe0b49a0f439d +size 2011 diff --git a/frontend/public/assets/gate/cs/questions/2022/13/exp.webp b/frontend/public/assets/gate/cs/questions/2022/13/exp.webp index f0557c6a3777d196fc67dc836a91f92796825312..1cdf0a8687e63dcca2a577c33af88d7978cd746d 100644 GIT binary patch literal 130 zcmWN?OA^8$3;@u5Pr(H&BrU(*h6EzasB{Fo@bvmN?<()n`b*V0&v9sdZ}aw$vHq_g zTDd>Y zvbS^(ENhMz0_v+;}Gxs! zz<#}c-uuRX!2f0JoBH3VNA(~1Ubo(;pSj+^|FPbjzq!8-Ki4BX{DS@~{9pSY_21ji?B5N3!~ZM3(>nhR{@e2J;3Ly7lYfT( z#r`+`=lFkTe?|V;`GNg||NqIKk$+77vHi35JNt+K|G*F8KghqY|7ia4{=fV8|Nr>k zL;pLJ;asp}=Ti>9xUkrcGY5E+<{_;InUuX%!B}&);0F|c= z`3HrRqAPzI+zm`Aieb?i2pC^|Tf6SGX8Ev9y<91E=keLE9=A^z<~8w`)5?$?Ddv%5 zW#!Ok z=Ub;lk+Ji`*F%S^lh1<}R1k!fEh6~S6Qg4y`VS|w{m9K{415KVk^zFi<%m*jV&6$N 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DCFL.\n(B) Every subset of recursively enumerable Language is recursive\n(C) If Language L & its complement \nL\n are both recursively enumerable then L must be recursive\n(D) Complement of context free language must be recursive.", - "answer_text": "A,C,D", - "explanation_text": "Sol.\nOption A: True\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n9\n\nIf \n1\nL\n \nand \nL\n2\n \nare \nregular \nthen \n1\n2\nL\nL\n\uf0c7\n \nis \nRegular \nthus \nalso \ndeterministic\ncontext free Language.\nOption B:\n False\nSince \n*\n\uf0e5\n is a recursively enumerable Language but there are many languages which are subset of \n*\n\uf0e5\n \nwhich are not Recursive.\nOption C: True\nIf L is recursively enumerable Language, then for all member strings of L, the TM of L will halt within \nfinite time. If \nL\n is recursively enumerable Language, then for all nonmember strings of L. The TM of \nL\n \nwill halt within finite time. Thus for both member and nonmember strings of L and \nL\n we have a TM \nwhich halts within finite time. Thus \nL\n is a Recursive Language.\nOption D:\n True\nComplement of CFL is a CSL in the worst case which is Recursive." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:7cc3c681b89f21b2d41c07578042fa9418522191399ac505fe9e164099a1b98a +size 1497 diff --git a/frontend/public/assets/gate/cs/questions/2022/15/exp.webp b/frontend/public/assets/gate/cs/questions/2022/15/exp.webp index 0f663427d670147148d3dfe0a5a301f3e8c6a6d5..df59dd2b7cf6fb6ad1444ef669aaf636f9a6313f 100644 GIT binary patch literal 130 zcmWN?NfN>!5CFhCuiyiQotfk}EQ3&`l5#KyU$1@Xi{3ouOZK%+K9stTb$c}4{`XJb z%6uw5si@0{IjZEIY=}n&?_wxe-42+mNeGBU(8y{u;JtP>K&_3?hn$TzF?vXVHrJAL M5n?T!(}573<_AOHXW literal 29406 zcmY&;Ly#>DtY+J`ZQHhO+qQAr=55=yZ`-zQ+dlJ8&0EaN>Z??eMJlXBMOs2))ddJh zQ(QzzLy3!M@;~gv4V(*1V+LXfETBx5AWm9DoC00C%>@qD*d73Rb+5}nYx@cQ@9rnT z6L07YF#EBnBRCMib9h$6m;2%PlfUITtN0Xn7dY^h_=EU+wT<{f`?L3MsGpz?=prZ- z%nEb{{QEiDQT$%}>U+vN15^cO0@Q!%zdXkw9}}(!8Uc^~@q&$jmRF=-v!yn^#<`k5bFo`OYjYF 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"B,C,D", - "question_text": "Question 16\n\uf07b\n\uf07d\n*\n1\n|\n( , )\nL\nww w\na b\n\uf03d\n\uf0ce\n2\n{\n,\n0}\nn\nn\nm\nL\na b c m n\n\uf03d\n\uf0b3\n3\n{\n,\n0}\nm\nn\nn\nL\na b c m n\n\uf03d\n\uf0b3\nWhich of the following statements are false?\n(A) \n1\nL\n is not CFL but \n2\nL\n and \n3\nL\n are DCFL. (B) \n2\n3\n,\nL L\n and \n2\n3\nL\nL\n\uf0c7\n all are CFL.\n(C) Neither \n1\nL\n nor \n2\nL\n is CFL. \n(D) Neither \n1\nL\n nor its complement is CFL.", - "answer_text": "B,C,D", - "explanation_text": "Sol.\n*\n1\n{\n{ , } }\nL\nww w\na b\n\uf03d\n\uf0ce\n this language is not CFL but complement of \n1\nL\n is CFL.\n2\n{\n0}\nn\nn\nm\nL\na b c nm\n\uf03d\n\uf0b3\n is CFL\n3\n{\n,\n0}\nn\nm\nm\nL\na b c n m\n\uf03d\n\uf0b3\n is CFL\n2\n3\nL\nL\n\uf0c7\n is not CFL.\n(B), (C) and (D) are false" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:0105bfc29ff9aa8386f2ed9e1499a83a3fca767b7b4d0b5ea2930c784821efb9 +size 974 diff --git a/frontend/public/assets/gate/cs/questions/2022/16/exp.webp b/frontend/public/assets/gate/cs/questions/2022/16/exp.webp index e69a17e185673c7b28a257f5bd2b5792e4327b0b..0d9b80da27593ea538fadd22952f3c0417e8784b 100644 GIT binary patch literal 129 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U&~k&;#(<-2{~m6Z*>i({0PcO6a{vGU diff --git a/frontend/public/assets/gate/cs/questions/2022/17/data.json b/frontend/public/assets/gate/cs/questions/2022/17/data.json index 765efd5..29982e5 100644 --- a/frontend/public/assets/gate/cs/questions/2022/17/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/17/data.json @@ -1,11 +1,3 @@ -{ - "id": "17", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "A,C,D", - "question_text": "Question 17\nWhich of the following is/are undecidable?\n(A) Given a TM M, decide is M accepts are strings.\n(B) Given a TM, M decide is M takes more than 1073 steps on every string.\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n10\n\n(C) Given two turing machines \n1\nM\n and \n2\nM\n decide of \n1\n2\n(\n)\n(\n)\nL M\nL M\n\uf03d\n.\n(D) Given a TM M, decide is \n(\n)\nL M\n is regular.", - "answer_text": "A,C,D", - "explanation_text": "Sol. \nFor a given TM, M 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The signal propagates at a speed of \n8\n3 10 m/s.\n\uf0b4\nThe time taken (in milliseconds runoff to 2 decimal \nplaces) for the receiver to completely receive a packet of 1000 bytes transmitted by the sender is _____.", - "answer_text": "7.08", - "explanation_text": "Sol.\n\n\uf0b4\n\uf03d\n\uf03d\n\uf03d\n\uf0b4\n\uf0b4\n3\nd\nt\ns\n8\n8\n2100km\n2100 10 m\n3 10 m/s\n3 10 m/s\np\n\n3\n7 10 sec\n\uf02d\n\uf03d\uf0b4\n7ms\n\uf03d\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n2\n\n\uf0b4\n\uf03d\n\uf03d\n\uf03d\n\uf0b4\n6\n1000bytes\n1000 8 bits\n100 Mbps\n100 10 bits/sec\nt\nL\nt\nR\n3\n8\n10 sec\n0.08ms\n100\n\uf02d\n\uf03d\n\uf0b4\n\uf03d\n\n0.08\n7\n7.08 ms\nt\np\nT\nt\nt\nms\n\uf03d\n\uf02b\n\uf03d\n\uf02b\n\uf03d" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:8d47dee2e4562d942f3f01a004ee2f94ca52daac7711b28c1fe6e5f4d5c85506 +size 1052 diff --git a/frontend/public/assets/gate/cs/questions/2022/2/exp.webp 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____\nx\ne\n\uf0ae\uf02b\n\uf02d\n2\n0\nlim\n\n1\nx\nx", - "answer_text": "\u2013 0.5", - "explanation_text": "Sol.\nx\nPut\nx\ny\n\uf03d\n2\n0\nlim\ne\n\uf0ae\uf02b\n\uf02d\n1\nx\nx\nWhen\n0\nx\n\uf02b\n\uf0ae\n \n0\ny\n \uf0ae\n\uf02d\n\uf0e6\n\uf0f6\uf0de\n\uf03d\n\uf0e7\n\uf0f7\n\uf02d\n\uf02d\n\uf0e8\n\uf0f8\n1\n1\nlim\nlim\n1\n0\n(2)\n2\ny\ny\ny\ny\ny\n2\n2\n0\n0\n\ne\ne\n\uf02b\n\uf0ae\n\uf0ae" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:14fbe87376b93a706367e796b0c0ea0cd2400d95c8749cb240eeb5f5a748f98f +size 630 diff --git a/frontend/public/assets/gate/cs/questions/2022/20/exp.webp b/frontend/public/assets/gate/cs/questions/2022/20/exp.webp index d97851962486fc65ddba379ea9ccdcbb3e66612f..535a1febf1bac83aa812f65835933e254abafcd4 100644 GIT binary patch literal 129 zcmWN?NfN>!5CFhCuiyiQMTRB68DK`JQb`HP!PjeF`l8S5<1O1-$J~{A^mTjk-2S&S zZ)LpHJgBJ4h|#N@4K4T`0~knLy{ic_kmgu4=>lY(;p{6Ddkldypobhw^cC+m6~L4e MvY7o#(ghpE59pmJZU6uP literal 4874 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uoA&RU#vfOY9Psi1&k3ZUV={GY9}3iPC<(v)8^u1Fb*se;-$DX}0000+{eEWv diff --git a/frontend/public/assets/gate/cs/questions/2022/21/data.json b/frontend/public/assets/gate/cs/questions/2022/21/data.json index 3055f08..1a20243 100644 --- a/frontend/public/assets/gate/cs/questions/2022/21/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/21/data.json @@ -1,11 +1,3 @@ -{ - "id": "21", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "B\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n12\n\nSol \nLU\nA\n\uf03d\n\uf02d\n\uf0e9\n\uf0f9\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf03d\n\uf02d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02d\n\uf0eb\n\uf0fb\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\nU\nU\nU\nL\nU\nU\nL\nL\nU\n1\n0\n0\n1\n1\n2\n1\n0\n0\n1\n3\n1\n1\n0\n0\n2\n1\n5\n11\n12\n13\n\n\n21\n22\n23\n31\n32\n33\n\uf02d\n\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02b\n\uf02b\n\uf03d\n\uf02d\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02b\n\uf02b\n\uf02b\n\uf02d\n\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\nU\nU\nU\nL U\nL U\nU\nL U\nU\nL U\nL U\nL U\nL U\nL U\nU\n1\n1\n2\n1\n3\n1\n2\n1\n5\n11\n12\n13\n\n\n21\n11\n21\n12\n22\n21\n13\n23\n31\n11\n31\n12\n32\n22\n31\n13\n32\n23\n33\n\uf0ae\n \nComparing \n11,\n12\n13\nand\nA A\nA\n11\n1\nU\n\uf03d\n12\n1\nU\n\uf03d\n13\n2\nU\n\uf03d\uf02d\n\uf0ae\n \nComparing \n21\n,\nA\n2\n11\n.\n1\nL U\n\uf03d\nPutting value of \n11\nU\n21\n \n1\n1\nL\n \uf0b4\uf03d\n21\n1\nL\n\uf03d\n\uf0ae\n \nComparing \n22\nA\n21\n12\n22\n3\nL U\nU\n\uf02b\n\uf03d\nPutting value of \n21\nL\n and \n12\nU\n22\n1 1\n3\nU\n\uf0b4\uf02b\n\uf03d\n22\n2\nU\n\uf03d\n\uf0ae\n \nComparing \n23\nA\n21\n13\n23\n1\nL U\nU\n\uf02b\n\uf03d\uf02d\nPutting value of \n21\nL\n and \n13\nU\n23\n1\n2\n1\nU\n\uf0b4\uf02d\uf02b\n\uf03d\uf02d\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n13\n\n23\n1\nU\n\uf03d\n\uf0ae\n \nComparing \n31\nA\n31\n11\n2\nL U\n\uf03d\nPutting value of \n11\nU\n31\n \n1\n2\nL\n \uf0b4\uf03d\n31\n2\nL\n \uf03d\n\uf0ae\n \nComparing \n32\nA\n31\n12\n32\n22\n1\nL U\nL U\n\uf02b\n\uf03d\nPutting value of \n31\n12\n,\nL\nU\n and \n22\nU\n32\n2 1\n2\n1\nL\n\uf0b4\uf02b\n\uf0b4\n\uf03d\n32\n2\n1\nL\n \uf0b4\n\uf03d\uf02d\n1\n2\nL\n\uf02d\n\uf03d\n32\n\uf0ae\n \nComparing \n33\nA\n31\n13\n32\n23\n33\n5\nL U\nL U\nU\n\uf02b\n\uf02b\n\uf03d\uf02d\n33\n1\n2\n2\n1\n5\n2\nU\n\uf02d\n\uf0b4\uf02d\uf02b\n\uf0b4\uf02b\n\uf03d\uf02d\n33\n1\n4\n5\n2\nU\n\uf02d\uf02d\n\uf02b\n\uf03d\uf02d\n1\n2\nU\n\uf03d\uf02d\n\n33", - "question_text": "Question 21\nConsider simultaneous decomposition LU equation \n \n \n1\n2\n3\n4\nx\nx\nx\n\uf02b\n\uf02d\n\uf03d\n1\n2\n3\n3\n7\nx\nx\nx\n\uf02b\n\uf02d\n\uf03d\n1\n2\n3\n2\n5\n7\nx\nx\nx\n\uf02b\n\uf02d\n\uf03d\nWhere L and U are denoted as\n\uf0e6\n\uf0f6\n\uf0e6\n\uf0f6\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf03d\n\uf03d\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n\uf0e8\n\uf0f8\nL\nU\nU\nU\nL\nL\nL\nU\nU\nU\nL\nL\nL\nU\n0\n0\n0\n,\n0\n0\n0\n11\n11\n12\n13\n\n\n21\n22\n22\n23\n31\n32\n33\n33\nWhich one of the following is correct combination of values for \n32\n33\n,\nL\nU\n and \n1\nx\n ?\n(A) \n32\n33\n3\n2,\n2,\n1\nL\nU\nx\n\uf03d\n\uf03d\n\uf03d\uf02d\n \n(B) \n32\n33\n1\n1\n1\n,\n,\n0\n2\n2\nL\nU\nx\n\uf03d\uf02d\n\uf03d\uf02d\n\uf03d\n(C) \n32\n33\n1\n1\n2,\n,\n1\n2\nL\nU\nx\n\uf03d\n\uf03d\uf02d\n\uf03d\uf02d\n \n(D) \n32\n33\n1\n1 ,\n2,\n0\n2\nL\nU\nx\n\uf03d\uf02d\n\uf03d\n\uf03d", - "answer_text": "B\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n12\n\nSol \nLU\nA\n\uf03d\n\uf02d\n\uf0e9\n\uf0f9\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf03d\n\uf02d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02d\n\uf0eb\n\uf0fb\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\nU\nU\nU\nL\nU\nU\nL\nL\nU\n1\n0\n0\n1\n1\n2\n1\n0\n0\n1\n3\n1\n1\n0\n0\n2\n1\n5\n11\n12\n13\n\n\n21\n22\n23\n31\n32\n33\n\uf02d\n\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02b\n\uf02b\n\uf03d\n\uf02d\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02b\n\uf02b\n\uf02b\n\uf02d\n\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\nU\nU\nU\nL U\nL U\nU\nL U\nU\nL U\nL U\nL U\nL U\nL U\nU\n1\n1\n2\n1\n3\n1\n2\n1\n5\n11\n12\n13\n\n\n21\n11\n21\n12\n22\n21\n13\n23\n31\n11\n31\n12\n32\n22\n31\n13\n32\n23\n33\n\uf0ae\n \nComparing \n11,\n12\n13\nand\nA A\nA\n11\n1\nU\n\uf03d\n12\n1\nU\n\uf03d\n13\n2\nU\n\uf03d\uf02d\n\uf0ae\n \nComparing \n21\n,\nA\n2\n11\n.\n1\nL U\n\uf03d\nPutting value of \n11\nU\n21\n \n1\n1\nL\n \uf0b4\uf03d\n21\n1\nL\n\uf03d\n\uf0ae\n \nComparing \n22\nA\n21\n12\n22\n3\nL U\nU\n\uf02b\n\uf03d\nPutting value of \n21\nL\n and \n12\nU\n22\n1 1\n3\nU\n\uf0b4\uf02b\n\uf03d\n22\n2\nU\n\uf03d\n\uf0ae\n \nComparing \n23\nA\n21\n13\n23\n1\nL U\nU\n\uf02b\n\uf03d\uf02d\nPutting value of \n21\nL\n and \n13\nU\n23\n1\n2\n1\nU\n\uf0b4\uf02d\uf02b\n\uf03d\uf02d\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n13\n\n23\n1\nU\n\uf03d\n\uf0ae\n \nComparing \n31\nA\n31\n11\n2\nL U\n\uf03d\nPutting value of \n11\nU\n31\n \n1\n2\nL\n \uf0b4\uf03d\n31\n2\nL\n \uf03d\n\uf0ae\n \nComparing \n32\nA\n31\n12\n32\n22\n1\nL U\nL U\n\uf02b\n\uf03d\nPutting value of \n31\n12\n,\nL\nU\n and \n22\nU\n32\n2 1\n2\n1\nL\n\uf0b4\uf02b\n\uf0b4\n\uf03d\n32\n2\n1\nL\n \uf0b4\n\uf03d\uf02d\n1\n2\nL\n\uf02d\n\uf03d\n32\n\uf0ae\n \nComparing \n33\nA\n31\n13\n32\n23\n33\n5\nL U\nL U\nU\n\uf02b\n\uf02b\n\uf03d\uf02d\n33\n1\n2\n2\n1\n5\n2\nU\n\uf02d\n\uf0b4\uf02d\uf02b\n\uf0b4\uf02b\n\uf03d\uf02d\n33\n1\n4\n5\n2\nU\n\uf02d\uf02d\n\uf02b\n\uf03d\uf02d\n1\n2\nU\n\uf03d\uf02d\n\n33", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:c57af53903d4e5b32cce9255480d3bda21bea78c8b916b61ad60660217aa1e3f +size 5619 diff --git a/frontend/public/assets/gate/cs/questions/2022/21/q.webp b/frontend/public/assets/gate/cs/questions/2022/21/q.webp index fe3c1c8da7522eb5d354dbed123fe18d0c8b5990..86ecce3a3616aee6feb75817a86096e195397aba 100644 GIT binary patch literal 130 zcmWN^%MrpL5CG6SRnUNeU3L-D4PRkKB_o)F)tl3scb3oW<1O1-$J~{A^mTjIxm~tz 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b/frontend/public/assets/gate/cs/questions/2022/22/data.json @@ -1,11 +1,3 @@ -{ - "id": "22", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "A,B,C", - "question_text": "Question 22\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf0e6\n\uf0f6\n\uf0e7\n\uf0f7\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n9\n6\n2\n4\n8\n6\n3\n1\n20\n15\n8\n5\n32\n21\n7\n12\nWhich is /are eigen vector for given matrix true\n\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n14\n\n\uf0e6\n\uf0f6\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf02d\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n0\n1\n(A)\n\n3\n0\n\uf02d\n\uf0e6\n\uf0f6\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n1\n1\n(B)\n\n0\n1\n\uf02d\n\uf0e6\n\uf0f6\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n1\n0\n(C)\n\n2\n2\n\uf0e6\n\uf0f6\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf0e7\n\uf0f7\n\uf02d\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n1\n0\n(D)\n\n1\n0", - "answer_text": "A,B,C", - "explanation_text": "Sol.\nOption (A) :\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf0e9\n\uf0f9\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf03d\n\uf03d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0eb\n\uf0fb\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\n9\n6\n2\n4\n1\n3\n1\n8\n6\n3\n1\n0\n0\n0\n3\n20\n15\n8\n5\n2\n6\n2\n32\n21\n7\n12\n2\n6\n2\n\n\nOption (B) :\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf0e9\n\uf0f9\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf03d\n\uf03d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02d\n\uf02d\n\uf02d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0eb\n\uf0fb\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\n9\n6\n2\n4\n0\n0\n0\n8\n6\n3\n1\n1\n3\n1\n3\n20\n15\n8\n5\n3\n9\n3\n32\n21\n7\n12\n0\n0\n0\n\n\nOption (C) :\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf0e9\n\uf0f9\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf03d\n\uf03d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0eb\n\uf0fb\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\n9\n6\n2\n4\n1\n1\n1\n8\n6\n3\n1\n1\n1\n1\n1\n20\n15\n8\n5\n0\n0\n0\n32\n21\n7\n12\n1\n1\n1\n\n\nOption (D) :\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n15\n\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf0e9\n\uf0f9\uf0e9\n\uf0f9\n\uf0e9\n\uf0f9\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf02d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf03d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf02d\n\uf0ea\n\uf0fa\uf0ea\n\uf0fa\n\uf0ea\n\uf0fa\n\uf0eb\n\uf0fb\uf0eb\n\uf0fb\n\uf0eb\n\uf0fb\n9\n6\n2\n4\n1\n7\n8\n6\n3\n1\n0\n5\n20\n15\n8\n5\n1\n12\n32\n21\n7\n12\n0\n25\n\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:e09f0b63808f0e7269eb074b73efac40d4b8fbadce20dc05148454fcf43ba0b5 +size 3398 diff --git a/frontend/public/assets/gate/cs/questions/2022/22/exp.webp b/frontend/public/assets/gate/cs/questions/2022/22/exp.webp index db279aaf01c35ac587669ad2ade8f38f45cf4d1d..724b8c8fe849d001a0a071910252e82fa5ec1b56 100644 GIT binary patch literal 130 zcmWN{u@S={3_#J|Q?Nh`0))Za0K$R0B={oiBGZTJ7w_NY%dLMz9pmI(%4Zvo*TL&- 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z=c^RGXRoMcWE7T=}1e=63Cz)NPaFq0TgTeL}1)T%ew+=jF5=;^TyW0ow?<%sc@ z9JsId^t&#mB&wwuK2fU#fwkSuw_@&UTj@c>)9gVQ_QQ*qpj{79G=9K0uW`4XP@jyh*}9@{6b`d6!qf!@Bp&wMKisA4*we0HL@s jK}k~Cw@ltLePB0jerQXS=ozEz%t;<{lF6k40Qi3Z1@3#7 diff --git a/frontend/public/assets/gate/cs/questions/2022/23/data.json b/frontend/public/assets/gate/cs/questions/2022/23/data.json index 694d38a..692e9fb 100644 --- a/frontend/public/assets/gate/cs/questions/2022/23/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/23/data.json @@ -1,11 +1,3 @@ -{ - "id": "23", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "A", - "question_text": "Question 23\nConsider the following two statements with respect to the matrices.\n,\n,\nm n\nn m\nn n\nA\nB\nC\n\uf0b4\n\uf0b4\n\uf0b4\n and \n.\nn n\nD\n \uf0b4\nStatement 1 : \n(\n)\n(\n)\ntr AB\ntr BA\n\uf03d\nStatement 2 : \n(\n)\n(\n)\ntr CD\ntr DC\n\uf03d\nWhere \n()\ntr\nrepresents the trace of a matrix which one of the following holds?\n(A) Both statement 1 and 2 are correct.\n(B) Statement 1 is true and statement 2 is false\n(C) Statement 1 is false and statement 2 is true\n(D) Both Statement 1 and 2 are wrong.", - "answer_text": "A", - "explanation_text": "Sol.\nThe eigenvalues (counting multiplicity) of AB are the same as those of BA\nIf\n \nA is an m by n matrix and\n \nB is an n by m matrix with \nn\nm\n\uf0b3\n then the characteristic polynomial \nBA\np\n of\nBA is related to the characteristic polynomial \nAB\np\n of\n \nAB by\n( )\n( )\nn m\nBA\nAB\np\nt\nt\np\nt\n\uf02d\n\uf03d\nSince Eigenvalues are the same thus the sum of Eigen Values (i.e. the Trace) is also the same.\nDiscrete Mathematics" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:a67cd67fa226c787030d671db04001276000a18283948de5b5b670f241794db2 +size 1201 diff --git a/frontend/public/assets/gate/cs/questions/2022/23/exp.webp 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"packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "36", - "question_text": "Question 24\nConsider a simple undirected graph of 10 vertices if the graph is disconnected then the maximum number \nof edges it can have is__________.", - "answer_text": "36", - "explanation_text": "Sol.\nSuppose we have 1 vertex on one side and other n-1 vertices on another side. To make it connected \nmaximum possible edges (if consider it as complete graph) is\nn\nn\nn\nC\n \n\uf02d\n\uf02d\n\uf02d\n(\n1)(\n2)\nwhich is\n2\n1\n2\n\nThus to make it a disconnected graph we have 1 separate vertex on another side which is not connected. \nThus the maximum possible edges is\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n16\n\n1\n9\n2\n2\n9*8 / 2\n36\nn\nC\nC\n\uf02d\n\uf03d\n\uf03d\n\uf03d" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:351fb9e86b7937cf67a71a1f2856e5289848ede0881c3a7b2226369be64d549d +size 891 diff --git a/frontend/public/assets/gate/cs/questions/2022/24/exp.webp b/frontend/public/assets/gate/cs/questions/2022/24/exp.webp index 71d2f5b04cc0a0ebefcf8d149aeb2e9c748618ca..6f2b8bc6565ffd869da43e3ddf1930ad3d337052 100644 GIT binary patch literal 130 zcmWN?%MrpL5CG6SRnUOpw=9rumJJ9qDjC5XtX|*cUFALdc*(ZbId`S*ecc{)ZvWdS zZ#AxmEU;i`xhw_)_H~5eFKEZ!P|GM`8 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zuU_$X9@P!pEuSe{V6MRgWd`l2$6k9S<`F_JzD#9#v_Zh=u$~XgXj0002Qu=$kO&xhPd^gSKgu&BTun7C$ZRAAny^$snAWN-itbm&4SL0aE*FDVJo m1ntk0&e*N3Lc2VTjea2~y%Y$B=r8Ou6zhHrl7WJhPyhh_>47`| diff --git a/frontend/public/assets/gate/cs/questions/2022/25/data.json b/frontend/public/assets/gate/cs/questions/2022/25/data.json index fc2b5d5..6ac1f08 100644 --- a/frontend/public/assets/gate/cs/questions/2022/25/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/25/data.json @@ -1,11 +1,3 @@ -{ - "id": "25", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "B", - "question_text": "Question 25\nWhich one of the following is closed form for the generating function of the sequence \n0\n{\n}\nn\nn\na\n\uf0b3\ndefined\nbelow?\nn\nn\na\n\uf02b\n\uf03d\n\uf0ec\n\uf03d\uf0ed\n1,\nodd\n\n1,\nOtherwise\nn\n\uf0ee\n2\n2\n(1\n)\n1\n(1\n)\n1\nx\nx\nx\nx\n\uf02b\n\uf02b\n\uf02d\n\uf02d\n \n \n(B) \n2 2\n2\n1\n(1\n)\n1\nx\nx\nx\n\uf02b\n\uf02d\n\uf02d\n(A)\n2\n2\n(3\n)\n1\n(1\n)\n1\nx\nx\nx\nx\n\uf02d\n\uf02b\n\uf02d\n\uf02d\n2\n(C) \n2 2\n2\n1\n(1\n)\n1\nx\nx\nx\n\uf02b\n\uf02d\n\uf02d\n \n \n(D)", - "answer_text": "B", - "explanation_text": "Sol.\nn\nn\na\n\uf02b\n\uf03d\n\uf0ec\n\uf03d\uf0ed\n1,\nodd\n1,\notherwise\nn\n\n\uf0ee\n\uf0a5\n\uf03d\n\uf03d\n\uf0e5\n0\n( )\nr\nr\nr\nG x\na x\n\n\uf0a5\n\uf0a5\n\uf03d\n\uf03d\n\uf03d\n\uf02b\n\uf0e5\n\uf0e5\n0 (even)\n1(odd)\n( )\nr\nr\nr\nr\nr\nr\nG x\na x\na x\n\n\uf0a5\n\uf0a5\n\uf03d\n\uf03d\n\uf03d\n\uf02b\n\uf02b\n\uf0e5\n\uf0e5\n0 even\n1 odd\n( )\n(\n1)\nr\nr\nr\nr\nG x\nx\nr\nx\n\nAs we know,\n2\n3\n4\n5\n1\n1\n......\n1\nx\nx\nx\nx\nx\nx\n \n\uf03d\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02d\n\n2\n4\n6\n8\n10\n2\n1\n1\n......\n1\nx\nx\nx\nx\nx\nx\n \n\uf03d\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02d\n \n...(i)\n\n3\n5\n7\n4\n2\n2\n2\n2\n4\n6\n8\n10\n.....\n1\nx\nx\nx\nx\nx\nx\nx\n\uf03d\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02d\n\n\u2026(ii)\n\uf028\n\uf029\nAdd equation (i) and (ii)\n2\n3\n4\n5\n6\n2\n2\n2\n1\n2\n1 2\n4\n6\n......\n1\n1\nx\nx\nx\nx\nx\nx\nx\nx\nx\n\uf02b\n\uf03d\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02d\n\uf02d\n\n\n\uf028\n\uf029\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n17\n\n\uf02b\n\uf02d\n\uf02b\n\uf03d\n\uf02b\n\uf02b\n\uf02d\n\uf02d\n\uf0e5\n\uf0e5\n\uf0a5\n\uf0a5\n1\n2\n1\n1\n1\nx\nx\nx\nx\nr\nx\nx\nx\n\uf028\n\uf029\n2\n2\n2\n0(even)\n1 (odd)\nr\nr\n\n\uf028\n\uf029\n\uf03d\n\uf03d\nr\nr\n\uf02b\n\uf02d\n\uf02b\n\uf03d\n\uf02d\n\uf02d\n\uf02d\n2\n2\n2\n2\n1\n2\n( )\n1\n1\n1\nx\nx\nx\nG x\nx\nx\nx\n\uf0de\n\n\uf028\n\uf029\n\uf0de\n \n2\n2\n1\n2\n( )\n1\n1\n1\n1\nx\nG x\nx\nx\nx\n\uf0e6\n\uf0f6\n\uf03d\n\uf02b\n\uf02d\uf02b\n\uf0e7\n\uf0f7\n\uf02d\n\uf02d\n\uf02d\n\uf0e8\n\uf0f8\n\n2\n2\n1\n1\n2\n1\n1\n1\nx\nx\nx\nx\nx\n\uf0e6\n\uf0f6\n\uf02d\uf02b\n\uf02b\n\uf02b\n\uf0e7\n\uf0f7\n\uf02d\n\uf02d\n\uf02d\n\uf0e8\n\uf0f8\n2\n\uf0de\n\n\uf0de\n \n\uf028\n\uf029\n\uf02b\n\uf02b\n\uf02d\n\uf02d\n2\n2\n2\n1\n1\n1\n1\nx\nx\n\n\uf028\n\uf029\nx\nx" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:25a07d3deefe8666aeb18251f4817006c37337be201c47dd9ffd89d328292e70 +size 2620 diff --git a/frontend/public/assets/gate/cs/questions/2022/25/exp.webp b/frontend/public/assets/gate/cs/questions/2022/25/exp.webp index 459890d8526a316a5f146d0847d78ceabc261f5d..3aa86614cadaf040dd00999304fdb295c7513dc2 100644 GIT binary patch literal 130 zcmWN?K@!3s3;@78uiyig5CVn%rYWf~qtY?82Vbvy*-PHq$IG_!JalpH-p|`(*Xe)z z@U)Gm(?d3Qc{6&o+E$Edi6I8^oVli4kTRxqhJ-9o;|>Hl`x(U(14kCBfg=|7p%wwk NRE_qpSS$g^`~a;sCTRcw literal 28230 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a/frontend/public/assets/gate/cs/questions/2022/26/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/26/data.json @@ -1,11 +1,3 @@ -{ - "id": "26", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "B", - "question_text": "Question 26\nConsider simple undirected graph with atleast 3 vertices, if A is adjacency matrix of graph then the number \nof 3-cycle is given by trace of\n3\n3\nA\n(A)\n3\n6\nA\n(B)\n(C) \n3\nA\n3\n2\nA\n(D)", - "answer_text": "B", - "explanation_text": "Sol.\nDiagonal element of \n3\nA\n gives number of paths of length 3, from any vertex to itself (cycle of 3).\nFor each participating vertex, each cycle will be counted thrice. As given below (ABCA, BCAB and \nCABC).\nA\nC\nB\nFurthermore, since the graph is undirected, every cycle will be counted twice. So overall every cycle of \nlength 3 in \n3\nA\n will be counted 6 times, so we divide by 6 also. Therefore, the number of Cycle is trace of \n(\nA\n3\n) / 6.\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n18\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:56ff4c80ae0797ec95e369831e6e9840e98bc304f656db1fba115642985d9837 +size 966 diff --git a/frontend/public/assets/gate/cs/questions/2022/26/exp.webp b/frontend/public/assets/gate/cs/questions/2022/26/exp.webp index bb3e6b88aac11dfae5b733ac773863790bf73a4b..70e85c39445e9178a92e8872b12f442e7d8d6a46 100644 GIT binary patch literal 130 zcmWN?NfN>!5CFhCuiyiQVHuYECM+XVsiYjt!PjeF`f6_;^CkOQC+|w#$GSa;xBvZ< zw=$oK&sNl>#T->~KMeXkXI)|dOA%5l8p%^YS1N#m*pg2!>7=n*ve+EpLAFpt7XYfO N)(9ToCXLkr#1GF$Ca3@a literal 22028 zcmV(;K-<4kNk&ElRsaB3MM6+kP&gp?RR936_W+#%Dr5o<0X|VAk3}P*ArjgR>^KDk zvA299BtuLVH24SJw}W`!_1<&#_wj#^zCbVa;(kT{Rrbg8gZxMQA7Fo_f7E+`exLuo z{=xn?+e_5v?r*4HA&26T>rRw zWB7;1zf=Cl`vLv8_UGaM`;QadLH-lauj2n%e&_v@{D=F`?!UV~41aC@=lf&*>-Q(w 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"stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "A,B,D", - "question_text": "Question 27\nWhich of the following is /are true for group G?\n(A) If the order of G in 2, then G is commutative\n(B) If for all \n,\nx y\nG\n\uf0ce\n, \n2\n2\n2\n(\n)\nxy\nx y\n\uf03d\n, then G in commutative.\n(C) If G is commutative then a subgroup of G need not to be commutative\n(D) If for all \nx\nG\n\uf0ce\n,\n2\n1\nx\n \uf03d\n, then G in commutative, here 1 in identity element of G", - "answer_text": "A,B,D", - "explanation_text": "Sol.\nA. True\nTheorem : All groups with less than 6 elements are abelian\nB. \nTrue\nTo prove that G is an abelian group, we need \nab\nba\n\uf03d\n for any elements \na\n.\nb\n in \nG\n.\nBy the given relation, we have \n2\n2\n2\n(\n)\n.\nab\na b\n\uf03d\nThe left hand side is \n2\n(\n)\n(\n)(\n).\nab\nab\nab\n\uf03d\nand thus the relation becomes \n2\n2\n2\n(\n)\n(\n)\n.\nab\nab\na b\n\uf03d\n\uf03d\nEquivalently. we can express it as \n(\n)(\n)\n.\nab ab\naabb\n\uf03d\nMultiplying by \n1\na\n\uf02d\non the left and \n1\n011\nb\n\uf02d\nthe right, we obtain \n1\n1\n1\n~ (\n) ~\n~ (\n) ~ .\nI\na\nabab b\na\naabb b\n\uf03d\nSince \n1\n1\n.\n.\na a\ne bb\ne\n\uf02d\n\uf02d\n\uf03d\n\uf03d\n where \ne\n is the identity element of \n.\nG\nr\nw e\n have \n.\nebae\neabe\n\uf03d\nSince e is the identity element, it yields that \nba\nab\n\uf03d\nand this implies that \nG\n is an abelian group.\nC. False\nJust use proof by contradiction.\nSuppose \nH\n is not abelian and thus contains two non-commuting members \nx\n and \ny\n. Then \n^\n.\nxy\nyx\n But \nx\n \nand \ny\n are also in \nG\n. and thus \nG\n is not abelian.\nContradiction.\nD. True\nWhenever we have a condition \n2\ng\ne\n\uf03d\n in a group, it's equivalent to \n1\ng\ng\n \n\uf02d\n\uf03d\n(multiply both sides by\n1\ng\n \n\uf02d\n).\nIn this case, it applies to every element of the group, so we can add remove inverses from any expression \nfreely. So the proof is simply\n1\n1\n1\n(\n)\n.\nab\nab\nb a\nba\n\uf02d\n\uf02d\n\uf02d\n\uf03d\n\uf03d\n\uf03d" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:3751d011d13230e841e337c68c26dfe4fb0569bb53f7469a41307b8fe2dffea7 +size 2174 diff --git a/frontend/public/assets/gate/cs/questions/2022/27/exp.webp b/frontend/public/assets/gate/cs/questions/2022/27/exp.webp index 436bdb9a0d03120be65f72798eeaa05c64340e14..51ec0fa9ee4c1e848f9fd7fc4e7bcb89c4803b64 100644 GIT binary patch literal 130 zcmWN?OA^8$3;@u5Pr(H&pFo7(20|2OR62%s;py$$ypzAu$49j}ciFUl_IZ0fWW8=j zS!ukr>`eN!%ji`}%P!#Npa!4shKSH6Z=v9Ob;;K?-&;HE&KmMia8~a`V|JwW2L(o(9bJMHZBm8ztpTd8q|55ys{;%je^Z)8U-2YyG zyZUeVSI0j|{E7aX`&IFS{!f?xNdAA!pW=UA{^|X<_S^fH?yuRe*gw2~UH!xU@96L3 zKdXOW{>l4Q{uAUE@bBY)*Z;15-~Vg)iT1DZz1I3a`H%Xa<^6$uGWkFFkL^F*Kka{n z_KWkM?H|{FXaB%|{P{=m|L7msf5QIIe}n(~_yhby`7ib#?f>Jy&i`cp|NiIe@9ux< zd|!UC{vZA4_kZx8xqo0k#ebH6a{k%=AN`;AZ~y=Ee-1xr|7rdM{XhR7@c;k+`}{ck 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b/frontend/public/assets/gate/cs/questions/2022/28/data.json @@ -1,11 +1,3 @@ -{ - "id": "28", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "A, B, D", - "question_text": "Question 28\nPeterson graph is given below, for the given graph which of the following is correct?\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n19\n\n(A) Hamilton path exist in the given graph\n(B) Chromatic number is 3\n(C) Largest independent set has size 3\n(D) Following graph is isomorphic to Peterson graph.", - "answer_text": "A, B, D", - "explanation_text": "Sol.\nA. True\n\n\nB. \nTrue\nRed\nGreen\nGreen\nGreen\nBlue\nBlue\nBlue\nRed\n\nGreen\nRed\nC. \nFalse:\nA set of vertices I is called an independent set if no two vertices in set I are adjacent to each other \nor in other words the set of non-adjacent vertices is called an independent set.\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n20\n\nIt is 4. From option B by simply keeping all the green vertices together we can simply observe that \nlargest independent set contains 4 vertices.\nD. \nTrue :\nWe can say given graphs are isomorphic if they have :\n1. \nEqual number of vertices\n2. \nEqual number of edges\n3. \nSame degree sequence\n4. \nSame number of circuit of particular length\nNote : In most graphs checking the first three conditions is enough." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:2284c65464c99160f1e89ab69f1747e24abd6520c254622520796afbe9ca6bd4 +size 1367 diff --git a/frontend/public/assets/gate/cs/questions/2022/28/exp.webp b/frontend/public/assets/gate/cs/questions/2022/28/exp.webp index a54b15a03b84a385bc09d851a9611a3fc0333184..60740c92971e6e5d5987c3406d09eeb40eba801e 100644 GIT binary patch literal 130 zcmWN`OA^8$3;@u5Pr(H&Bp{#O21qK*sB{c=;py$_E#Ao=>Eo^1oQG^$Kl;2qcUdpn zx2$!%v>aUZ3CrlDq-DJO&4B@~doC%Hg=8Tl#6mfjfElQQae$l%J%FP`?CW*N7)>aK N>LUHe%GwzH@(1|IC;R{a literal 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- "key": "A, C", - "question_text": "Question 30\nWhich of the properties hold for the adjacency matrix A of a simple undirected unweighted graph having \nn vertices?\n(A) The diagonal entries of \n2\nA\n are the degrees of the vertices of the graph\n(B) If the sum of all the elements of \nA\n is at most \n2(\n1)\nn\n\uf02d\n then the graph must be acyclic\nn\nA\nI\n\uf02d\n\uf02b\n can be zero\n1\nn\n(C) If the graph is connected then none of the entries of\n(D) If there is at least a 1 in each of A\u2019s rows and columns, then the graph must be connected", - "answer_text": "A, C", - "explanation_text": "Sol.\nOption A : True\n,\n(\n) ,\ni i\nA\n the \ni\nth\n\uf02d\n term on the diagonal is. We have\nLet\u2019s think about what \n2\n,\n(\n)\n(\n)\n,\nii\nii\ni\nj\nj i\nA\nA A\njA\nA\n\uf03d\n\uf0b4\n\uf03d\n\uf0e5\n2\nBut \n, ,\nij\nj i\nA\nA\n\uf03d\n assuming that the graph is undirected, and \n1( ~ ), . .\nji\nA\ni\nj i e\n\uf03d\n is \n1\n is \ni\n and \nj\n are adjacent and\n0 otherwise. Thus \n2\n,\n,\n,\n1( ~ ).\nij\nj i\ni j\ni j\nA A\nA\nA\ni\nj\n\uf03d\n\uf03d\n\uf03d\n So the sum is just the number of \nj\n such that \n~ ,\ni\nj\n which\nprecisely the degree is.\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n21\n\nThis work if vertices in your graph may have a single self-loop, provided you count that as 1 (not 2) for \nthe degree. Indeed, the term in the sum when \nj\ni\n\uf03d\n is just \n2\n, ,\ni i\nA\n but you need this to be equal to \n,\n \n.\ni i\nA\nThus it needs to be 0 or 1.\n,\nii\ni j\nA\nA\n\uf0b9\n if \n,\n1.\ni j\nA\n\uf03e\nIt does not work more generally, however, as \n2\ni j\ni\ni j\nA A\nA\ni\n\uf03d\n\uf03d\n\uf0e5\n2\n,\n,\nout\n(\n)\ndeg\n( ),\nT\neven for an undirected graph, provided the graph is simple.\nOption : B False.\nA cyclic graph is a graph containing at least one graph cycle. Consider a graph with 10 vertices where \nonly three vertices form a cycle while reset are isolated vertices (that is a disconnected graph)\n\nIn such a case, sum of all the elements of A is \n(1 1 1)\n3\n\uf02b\uf02b\n\uf03d\n and 3 is less than \n2(10 1)\n2*9\n18.\n\uf02d\n\uf03d\n\uf03d\n But \nthe graph is still cyclic.\nOption C : True.\nn\nA\nI\n\uf02d\n\uf02b\n represents number paths upto length \n1\nn\n \uf02d\n between pair of vertices, for a connected\n1\nn\nThe matrix\nn\nA\nI\n\uf02d\n\uf02b\n will be \nnon zero.\n1\nn\ngraph there will be at least one path between each pair of vertices, thus all entries of\nOption D : False\nConsidering the following adjacency matrix :\n1\n2\n3\n4\n1 0\n1\n0\n0\n2 1\n0\n0\n0\n\n\n3 0\n0\n0\n1\n4 0\n0\n1\n0\n\nThe corresponding graph is :\n\n\n\nThe graph is not connected\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n22\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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"Question 34\nWhich one of the following statement is True and all positive functions \n( )?\nf n\n(A) \n2\n2\n(\n)\n( ( ) )\nf n\nf n\n\uf03d\uf057\n(B) \n2\n2\n(\n)\n( ( ) )\nf n\nO f n\n\uf03d\n(C) \n2\n2\n(\n)\n( ( ) )\nf n\nf n\n\uf03d\n, when \n( )\nf n\n is a polynomial\n(D) \n2\n2\n(\n)\n( ( ) )\nf n\nO f n\n\uf03d\n, when \n( )\nf n\n is an exponential function.", - "answer_text": "C", - "explanation_text": "Sol.\nA: It need not be true for a function which is decreasing.\nB: \nAn exponential function may be increasing or decreasing, so this condition may not always be true.\nC: \nIt always holds because if we square the input variable, then the highest order in the polynomial \nwill also get squared.\nD: It is not true in cases when \n( )\nf n\n is a polynomial function.\nC Programming" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:a3f5b33402b9ff83f2d7aebec2258ec4cd2122a2917cb2ee838ced31b773f065 +size 983 diff --git 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a/frontend/public/assets/gate/cs/questions/2022/35/data.json b/frontend/public/assets/gate/cs/questions/2022/35/data.json index e1d2198..73ec627 100644 --- a/frontend/public/assets/gate/cs/questions/2022/35/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/35/data.json @@ -1,11 +1,3 @@ -{ - "id": "35", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "A", - "question_text": "Question 35\nWhat is printed by ANSI C program?\n#include \nint main (int argi, char* argv [])\n{\nint \n1\nx\n \uf03d\n, z[2]={10,11};\nint *p = NULL;\np= &x;\n*p = 10;\n\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n25\n\np = &z[1];\n*(& z [0]+1) +=3;\nprintf(\u201c%d, %d, %d/n\u201d, x , z [0], z [1]);\nreturn 0;\n}\n(A) 10, 10, 14\n(B) 1, 10, 11\n(C) 1, 10, 14\n(D) 10, 14, 11", - "answer_text": "A", - "explanation_text": "Sol.\nz\n10\n11\n200\n204\nx\n1\n100\n\uf05b\uf05d\uf07b\n\uf07d\n2\n10,11 ;\nz\n\uf03d\np\n& ;\np\nx\n\uf03d\n100\n300\nx\n1\n10\n*\n10;\np\n \uf03d\n100\np\n\uf05b\uf05d\n \n&\n1 ;\np\nz\n\uf03d\n100\n204\n*(& z [0]+1) +=3;\n300\n\uf0de\n \n*(address of II\nnd\n element of array) + = 3;\n\uf0de\n \ni.e. add 3 to II\nnd\n element of array, therefore second elements becomes 14.\nHence, 10,10,14 gets printed." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:ee59b34fea156d088c88d455e3f642e794c07af81b0a0b044897c69e56a138a2 +size 1050 diff --git a/frontend/public/assets/gate/cs/questions/2022/35/exp.webp b/frontend/public/assets/gate/cs/questions/2022/35/exp.webp index 9470fb2c7f0689c33ee47bf0d4ac49e788a7ef55..eb471cc0342f1cf39d988937b329bf79333c2cd9 100644 GIT binary patch literal 130 zcmWN{I}*bn3;@yIr{DrH0tN)W4IdGhNrETBE^_+N>}&R>FZb~gZO)SqDW82lUX}M{ zyV9P=Tk=U+-fA1Y2yRhZchrzv1=PhD8)}Xkm9;7OlpSjDx|HaGcC;P>vIu@P*$k@W Oh{9 zKFvR>dW`=!>QM9`{gvyP{^kFRDPPh**Z(6t%6_^1qw+7&Kg0f2`j6xP_gxdeiG6+h 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zuRCpW35MxC@%B5>)_Po3eaQa-y%=3#2pnur(NJP^E= zFPw)s>d&@);)Ll=G{N)3!(C!MfJ)E!5n)(=(|@vdtQ-f^g0L!bwyskC^C#fM`=)Tc0xSV|Uj=FL9#-CcDo_%ZoR5|K(HznN beFbR{wal|5WiEdVk-gZC^|n4Qo4^17LMn\nint main (int arge, char * argc [])\n{\nint a [3][3][3]= {{1, 2, 3, 4, 5, 6, 7, 8, 9}{10, 11, 12, 13, 14, 15, 16, 17, 18} {19, 20, 21, 22, 23, 24, \n25, 26, 27}};\nint i= 0, j= 0, k=0;\nfor (i = 0; i< 3; i++) {\nfor(k = 0; k<3; k++)\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n26\n\nprintf(\u201c%d\u201d, a [i][j][k]); printf(\u201c\\n\u201d);}\nreturn 0;\n}", - "answer_text": "1 2 3\n10 11 12\n19 20 21", - "explanation_text": "Sol. \n \n0\nj\nk\ni\n\uf03d\n\uf03d\uf03d\n[3][3][3]\n{{1, 2, 3,......9},\n[0]\na\na\n\uf03d\n\uf0ae\n (\nFirst 2\u2013D array)\n{10, 11,......18},\n[1]\na\n\uf0ae\n \n(Second 2\u2013D array)\n{19,.....27}}\n[2]\na\n\uf0ae\n (Third 2\u2013D array)\nIn short, there are total third 2\u2013D arrays, and in the code we need to find first row of each 2D array i.e.\n1, 2, 3 \n \nFirst row of first 2-D array\n10, 11, 12 \nFirst row of second 2-D array\n19, 20, 21 \nFirst row of third 2-D array" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:a4ff72de184caa8e96d7e4d63f625107902680042227b2913a1972bb3c7e7c5e +size 1233 diff --git a/frontend/public/assets/gate/cs/questions/2022/36/exp.webp b/frontend/public/assets/gate/cs/questions/2022/36/exp.webp index 4071207153608d794c617ede4424f03ebcde021f..8c2ae1a60fa83590c0a322c6e351e2961c4d8ddb 100644 GIT binary patch literal 130 zcmWN?K@!3s3;@78uiyigh608DCWJ(oQRxWw;OliSd+~d;{?c{Ma~#Ip+q^wwEdT2# zFVvrAoJ{5d)mzb{qV?g(30)?M(MJHsSVW2y0Sshi$2AlIE=YUe)p}Pjf+L$Z3(0fx Mq(=L)27oQ7A1YcXc>n+a literal 11166 zcmV;PD`C`9Nk&GND*ymjMM6+kP&gopD*ylxo&cQzDr5q=06tMBkVPY+Ba>@chjAyMM(0Z~kZAANK9{ zk3*l?-nrlKKE0ZBo=^UF`3>Mt^l!+IJO2*(AL_r6AK3l0Gtbqp@*ahM5cA@+@_v9`oP4MJC-wjF|MtE?f(pZL;UOf59JT<|KJDlkL7>bf4P3t|7QRH{`=@Z?LYIpQ$E-I+x@?|5Al!Y 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--- a/frontend/public/assets/gate/cs/questions/2022/37/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/37/data.json @@ -1,11 +1,3 @@ -{ - "id": "37", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "z, K, S\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n27", - "question_text": "Question 37\nWhat is the output of given code?\nchar \n'\n';\na\nP\n\uf03d\nchar \n'x';\nb\n \uf03d\nchar \n( & )\n'*';\nc\na\nb\n\uf03d\n\uf02b\nchar \n( | )\n' ';\nd\na b\n\uf03d\n\uf02d\uf02d\nchar \n( ^ )\n' ';\ne\na b\n\uf03d\n\uf02b\uf02b\n\uf028\n\uf029\nprint\n\"% %c%c\",c,d,e ;\nf\nc\nA \nB \nC \n\u2026 \nZ \n65 \n66 \n67 \n\u2026 \n90 \na \nb \nc \n\u2026 \nz \n97 \n98 \n99 \n\u2026 \n122\n* \n+ \n\u2013\n42 \n43 \n45", - "answer_text": "z, K, S\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n27", - "explanation_text": "Sol.\nASCII value of P = 80 and \n120\nx\n 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a/frontend/public/assets/gate/cs/questions/2022/38/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/38/data.json @@ -1,11 +1,3 @@ -{ - "id": "38", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "509", - "question_text": "Question 38\nSuppose binary search tree with 1000 distinct elements is also complete binary tree. The tree in sorted \nusing array representation of Binary Heap Tree, Assuming that the array indices start with 0, the 3\nrd\n largest \nelement of tree in sorted at index _____?", - "answer_text": "509", - "explanation_text": "Sol.\nThe largest element in the BST is the right most element with index \n9\n510(2\n2\n\uf02d\n as the indexing of the \narray is starting with 0) its parent is the second-largest element and its left child is the third-largest \nelement which is of the index \n510 1\n509.\n\uf02d\uf03d" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:c1c1eb9ca0c89a4bfed420d7a4c44b2e659208a5bcebc7caad4af07066da86ed +size 783 diff --git a/frontend/public/assets/gate/cs/questions/2022/38/exp.webp b/frontend/public/assets/gate/cs/questions/2022/38/exp.webp index 261ec2116483a5d9f161cfda1d2c72d47d45a34a..a9a190233d5cc1d1c38e62e5afcab633512daa80 100644 GIT binary patch literal 129 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b/frontend/public/assets/gate/cs/questions/2022/39/data.json index 04d301a..bd928fe 100644 --- a/frontend/public/assets/gate/cs/questions/2022/39/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/39/data.json @@ -1,11 +1,3 @@ -{ - "id": "39", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "A", - "question_text": "Question 39\nSuppose we are given n keys, m hash table slots and two simple uniform hash functions \n1\nh\n and \n2\nh\n . Further\nsuppose our hashing scheme uses \n1\nh\n for the odd keys and \n2\nh\n for the even keys. What is the expected no.\nof keys in a slot?\nm\n \n \n(D) \n2\nn\n(A) \nn\nm\n \n \n(B) \nm\nn\nn\n \n \n(C) \n2\nm", - "answer_text": "A", - "explanation_text": "Sol.\nIrrespective of the number of hash functions, the expected number of keys in a slot is given by (number \nof keys)/(number of slots) for a uniform hash function." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:29e7e72380dfffa9c8f57c5c4a0ed8a65537d5100d5f2cb2a1d6abacc13c617a +size 719 diff --git a/frontend/public/assets/gate/cs/questions/2022/39/exp.webp b/frontend/public/assets/gate/cs/questions/2022/39/exp.webp index cc96dfece43db781fbf936d927d668056f89f44e..323fbddc6fd12fe20e4093d24622438563392b1f 100644 GIT binary patch literal 129 zcmWN?OA^8$3;@u5Pr(H&;n#-V29hAmsB{Fo@bvmN?~?au{iW)h=Qy;!w|RS%vHq{0 zyi$MaaSG|nEWNQBHQBHoNDkSRTwEmBlVM;)=fT(nC{8v2K^BVa$p8h+u*YZw$_Cz8 MUPk+h@?pp22fte;{Qv*} literal 4982 zcmV-+6N&6nNk&F)6952LMM6+kP&goB6951(NC2GyDr5pM06tM9jzpuPA(l)8*f<3Q zw6}gfOnuS-e}KvW{eZNS@CWi=Jl)}bGy3oB_nH5Pd|UL-$sgkCE+x-XaXS5&5|GR(4|0(___K)lj`9Jip_rKqN&VJ5(-T(FX zU;Dl6-}@SLTcSHJ1~7(28Ipj}$kO%t{eHh+uh;AK`u%>tU$51++i6Wtq`x};wHKeY z<$Q4@J%rkegevtOvE%jmB!s*O5KIx&{e{766wOK+;XstupVo_=|E(E)#jBg5pw{>* z4#dmx7UfJv4uXm52W6M!+m-YT3PK!@AQ=eX&k9hfh$mGhPilXKQa$WgO$TRcxa#X0 zQ=Dk$2xjpX7q>UPWA?LqTlLSa+yF@G)B@J>%ysJtEyRy$m}T51T@*-1!?5}mI$-4J z)QBZN0T6yHziYn~5Gxw4U1guf82GXXh|ajmsH+9JzeEM+r^*v|2_+_;q%+H&7mpD- z)JCKM5cLxSg-GK?xFZ9qaC8fgg4Del@4V}(9{D` z`POY61)lbI zCx49ZrW<810014epx;`Td;pR56*610MqmFo|G>2D`5AnY7-AzYnM= zn=hI1$lY1GdnsGzXyOvhl`e;5xy6Aci-({>airNTOfCd#_b2)Q!%9uYHwkKuzeJb= z0giA9&B+uRxo#9{pjrO%k1C0g`eS+#U|S+S!z;K1(X4xQ(V7=Cjzl5PS@{|Sg9+RP zT6`OrA8N(>u8YXHvdfoCY$A(0_e?JcB^}#V5s&+$&*=TR)pM8aKl`1 zxa@-Y!(qQ95RAs@AjZGe1^5)I6?=2``&n~zfrg$7Dr_#(xEH^mEXYe~vi4TRnbzLR z!IbrW6khbyx2Q9BT{#?R$w6Bs?)H2mlEhC2cTr95wy6L5lEomYUmWl^&X--)V&_0g zoxl)YPxG0KX^BHfd0DKi>QSf!g9=MWP?N<)2>H(Y{-9H;OSI3L22YlK?c~SU{c=U_ z@|mH&NKq)ul#<*b+ot4N87i^OZ-t&vbkjOw%y;G%8FisMGph^~gu{ke%VxTlDE4Sewp#5%GgKrpZ zKl4KX+{iX!^waY*xD@XDnrOixBl@yBah_?!VBuaYN-ek4-J)*gj*Ofk#=9m;J!{_t zn+qY>$^@%B<(m3n)(IkDw@cK;tL{O~>u#e*B%6jBG2hSlc+j14hMqZCs&u7{cy>$z zk`#4R7@lS;QcTiYlZsYYaEXUiH@xE_DjM3c{u6xpxzQ4!WDvoN!?KvsnzP=@uKD@r z!dy+Li8IvGc-)s~t~D1t49+teO5S|(dd86kb4S$qSK>5tvMGe7LueuMQEo?PwiOCX z5nL82VN@0Mtfnxx4dgU2#GLm;hCQ>0#ebb3wU73vmx-_q)5ptctUDK(rHd|D(MP^O z`Vyus{d+2lMvmV0YwF3!U`0W3>0ew}gkxFPH#!;0DV8xGv}+>QEoJl{i13>r-%%6u zUxB@2MjLu;mrrIvtDOA=QM!E6pCZBbl_swC8pq`A-M}t}Qw^XoWf`eQ(D+cw>*voc zQWRr#i=UO5{%HSXoHm?tUT*7`O-rYh>o7-T6#c$GsNGi6k0n0|9T~-Mx*8^&6&gyE zTKArtWkTv^K?5q)6U<^Bx6j6_Zg{KJng5WcKdOx;D3brayFWf?e|?z)bLmYC=VOtON#(>$ z4T%R){qka-9@{_LsrsNV(P!+E2m$Fj+F2lEs92~k<7Q9l9o&D8>kJfz*N%Glp%hav^*;^Nwn&Q8B|znt=Rs3a>9tFXiwIwC9)h5H(mkF`;XMOi0oH z&7U$wv1bLCi9DHfPl1@(O9Do~D_u&*+(%yG6>l*T4 z1-srTze#U_Hfr-NU=w9Atu=Z$&v4a^WS5$SxvBuU8$O@Gu3K?OR^4SOs-j2FUdqm$ zaTSNCET63MI=rvoW2|n0pLEeZ9%k9r_>brzwbwB7bs_x#=&tp>1QPSGMvu2wpYZqf z_RLF<6u-c?O}l%hg3S-|LT55!NNY%H7}{WFUM5!Nm6B4o-Og&rSoz;ee06AG^1mG@ zFMEC{qAdOe=|!5orsmA{#P5T{rrX+*d3)%+v-!%h@$}fm{XeGU=(Loof9*>~8{A98 za2bz96&-6r8HDc_@UhG{s}R%P8z35N0epOofzJy|zzoGgejn!CtvOjZh5s*KHPGS+ zBxR>wW!Q})yi3Cqk9g@6J~jPX`V84d*1t#3-UBs-C5U9v;cxnXzUwacaPo*Lx^U`e zHe7Rt&Ez`?3|#ICA9w`<{PG&(BhKOa)D*XsRlEfO9E|RTj-~G3NEk>VLu)pzO!87i zs8uBFB;^}2Z`R(VCrcTzc2ALt$e8@oXefTrds>;CMTYTxGQC-OUo^35zY`C>k^tUi zsYn7K{LY%Fs(DZ%rl+*O^ROeRdhg9M15(i7aT$uB)LHk1%P6-apixH+=gi=)k&7rU11C)%8&(1~jKalX0F7SwUg+X<$&~ z;R$kT zD5bI+?SQ~~Lmu`^(sXY&TTEp*hW2j%*y*!7+r>?X_3cEM3YzAnzfP=Ps07@EUL2{2Dj50)@#F%G<+e?R@ix%f=7-Bb04B?#DwFK)HUl|Pkmo5)3t zO)od{*9m%B*%ks5+JGmWO#+$qNLLLPhf8|xw`licg?1w0iqPYD*QftiH{+cD zj_kI8(%r-d=wFDP?%J|_b{XOosjJ(PtzuvAexHb6k@q?&B1?clhYwBX@P-sh^9d7} zcDK~-IsfcvV|YbZO}vTI%t+`zt6uR3_+Z>O&BnPJq>o*dXOOf-!M!@e3mo0^ENx0w ze=#({-2#pA0(V08Qs9QO*i{O&lFuMRA|nC%ZJ!X#)2}>;@v#G=sb$04_mEc!@n<1{ z_!5gt*FF|O8n&^~TBdr9s4f2X!$o2Lzye8syHD+; 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Assume that no records are \ncalled anywhere across the DNS servers and the iterative query resolution mechanism is used in the\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n4\n\nresolution. The number of DNS query response pairs involved in completely resolving the domain name \nis ____. \n \n \n[2 Marks, NAT\n]\nSol.\n \nIn the iterative query the DNS resolver go to the these three servers which is root server, TLD DNS server, \nauthoritative server. 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a/frontend/public/assets/gate/cs/questions/2022/40/data.json b/frontend/public/assets/gate/cs/questions/2022/40/data.json index 6383835..6cf4ae7 100644 --- a/frontend/public/assets/gate/cs/questions/2022/40/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/40/data.json @@ -1,11 +1,3 @@ -{ - "id": "40", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "B", - "question_text": "Question 40\nConsider 2 linked list :\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n28\n\nWhat is the time complexity to get reverse of linked I and II linked list by using best algorithm and space \ncomplexity \nO\n(1).\nA\nB\nC\nD\nE\n(I)\n\nE\nD\nC\nB\nA\n(II)\n(A) \n(1)\nO\n(B) \n( )\nO n\n2\n(\n)\nO n\n(C)\n(D) Not possible in space complexity \n(1)\nO", - "answer_text": "B", - "explanation_text": "Sol.\nBest algorithm for the problem takes O(n) in worst case." -} \ No newline at end of file +version 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\n4\n\n2\nQ\n \n4 \n3 \n2 \n1", - "answer_text": "6", - "explanation_text": "Sol.\nThis can be obtained by the following set of instructions\nDequeue ( 1)\nx\nQ\n\uf03d\nEnqueue ( 1)\nQ\nDequeue ( 1)\nx\nQ\n\uf03d\nEnqueue ( 1, )\nQ\nx\nDequeue ( 1)\nx\nQ\n\uf03d\nEnqueue (\n2, )\nQ\nx\nDequeue ( 1)\nx\nQ\n\uf03d\nEnqueue ( 1, )\nQ\nx\nDequeue ( 1)\nx\nQ\n\uf03d\nEnqueue ( 1, )\nQ\nx\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n29\n\nDequeue ( 1)\nx\nQ\n\uf03d\nEnqueue (\n2, )\nQ\nx\nDequeue ( 1)\nx\nQ\n\uf03d\nEnqueue ( 1, )\nQ\nx\nDequeue ( 1)\nx\nQ\n\uf03d\nEnqueue (\n2, )\nQ\nx\nThe number of enqueue operations on \nQ\n1 is \n3\n2 1\n6.\n\uf02b\n\uf02b\uf03d\nOperating System" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:989d2d9f25761e30b6159bfbda3834283441c5c2e681d15d5a591ca4f1d723d6 +size 1147 diff --git a/frontend/public/assets/gate/cs/questions/2022/41/exp.webp 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z4o?&ffoH9?q|$$2^`G$8nd;)E&^KOGw7T1pho9;racnORO<~|ddx7WBJQ(!kUUBmb z#K;rUyHc~GiflP*GT-Q#5AP}1Qoo6`&r(YD<bI5*pL&bmI;WJicoJ0n@(0iGl*N(R&j z!{Q^y6-!p0n?yT+5;oDI2jUC+5>TQ_G9jCHN$0jjsZZ9pTzqdTM9iqD2*C9 zLs!V#H5)Lht#4^hyxwAr{RXe-ND1bvruoZJH1H5prL8sIT?XxWqX(zEDo_sm77 dB%l@kMXj<$K*Ud2B^p9yW2#_Dm+koA006+J<3<1g diff --git a/frontend/public/assets/gate/cs/questions/2022/44/data.json b/frontend/public/assets/gate/cs/questions/2022/44/data.json index f3d457f..9dd3615 100644 --- a/frontend/public/assets/gate/cs/questions/2022/44/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/44/data.json @@ -1,11 +1,3 @@ -{ - "id": "44", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "0.6\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n31\n\n \n153\n \nD\n \nB, C", - "question_text": "Question 44\nConsider a demand paging system with four page frames (initially empty) and LRU page replacement \npolicy. For the following page reference string 7, 2, 7, 3, 2, 5, 3, 4, 6, 7, 7, 1, 5, 6, 1 the page fault rate, \ndefined as the ratio of number of page faults to the number of memory accesses. (2 decimal) is _____", - "answer_text": "0.6\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n31\n\n \n153\n \nD\n \nB, C", - "explanation_text": "Sol.\n7,2,7,3,2,5,3,4,6,7,7,1,5,6,1\nTotal page faults \n9\n\uf03d\nTotal Access \n15\n\uf03d\nThus page fault rate \n9 /15\n0.6\n\uf03d\n\uf03d\nQ.45 \n Consider two file-systems A and B. that use contiguous allocation and linked allocation respectively A\nfile of size 100 blocks is already stored in A and also in B. Now, consider inserting a new block in the \nmiddle of the file (between 50th and 51st block), whose data is already available in the memory. Assume \nthat there are enough free blocks at the end of the file and that the file control blocks are already in \nmemory. Let the number of disk accesses required to insert a block in the middle of the file in A and B \nare n A and n E respectively, then the value of \nA\nB\nn\nn\n\uf02b\n is___.\n2 Marks NAT\nSol.\n \nFor contiguous allocation, we have to store all the blocks in a sequence, if we have to store a block in the \nmiddle, we have to first shift all the blocks after that one place right, for which we need one disk read and \none disk write for each block (2 disk accesses). Now since we are storing one block in contiguous\nallocation at \n51\nst\n \n position, the blocks (\n51\nst\n \n to 100\nth\n ) have to be moved one step right, for which 2*50 disk \naccesses are required, then one access to store the new block, thus \n100 1 101\nA\nn\n \uf03d\n\uf02b\uf03d\n.\nIn Linked allocation, we must read 50 blocks to find the middle. Then we must write the new block \nsomewhere with the next block pointing to the block after the 50\nth\n block. Then we must write the 50\nth\n \nblock to point to this new block, thus\n50 1 1\n52\nB\nn\n \uf03d\n\uf02b\uf02b\uf03d\nHence our required answer \nA\nB\nn\nn\n\uf02b\nis 153.\nQ.46 \nWhich of the following statements is False? \n \n \n \n2 Marks MCQ\n(A) The TLB performs an associative search in parallel on all its valid entries using page number of\nincoming virtual address\n(B) If the virtual address of a word given by CPU has a TLB hit, but the subsequent search for the word\nresults in cache miss, then the word will always be present in the main memory.\n(C) In a system that uses hashed page tables, if two distinct virtual address VI and V2 map to the same\nvalue while hashing, then the memory access time of these addresses will not be the same\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n32\n\n(D) The memory access time using a given inverted page table is always same for all incoming virtual\naddresses.\nSol. \nA. True\nTLB Lookups:\n1. \nSequential search of the TLB\n2. Direct mapping : assigns each virtual page to a specific slot in the TLB e.g., use upper bits of VPA\nto index TLB\n3. Set associativity: use N TLB banks to perform lookups in parallel\n4. Fully associative cache: allows looking up all TLB entries in parallel\n5. Typically\na. TLBs are small and fully associative\nb. Hardware caches use direct mapped or set-associative cache\nB. True\nA cache stores a copy of data from memory in a fast storage near the CPU. In case of TLB hit, we \ngot the physical address (in main memory). We look into cache before accessing main memory. In \ncase of a cache miss, we will definitely find the word in main memory as there was a TLB hit.\nC. True\nA hashed page table lookup may require many memory references to search the desired virtual \naddress and its corresponding frame number because there is no guarantee on the number of entries \nin the linked list.\nD. False\nWhen a memory reference takes place, this virtual address is matched by the memory-mapping unit \nand the Inverted Page table is searched for a match and the corresponding frame number is obtained. \nIf the match is found at the ith entry then the physical address of the process is sent as the real address \notherwise if no match is found then Segmentation Fault is generated. Finding a match requires \nsearching the entire table. Depending on the match, the memory access time will vary.\nQ.47\n Which of the following statements is/are TRUE with respect to deadlocks?\n(A) In a system where each resource has more than one instance, a cycle in its wait-for-graph indicates\nthe presence of a deadlock .\n(B) In the resource-allocation graph of a system, if every edge is an assignment edge, then the system is\nnot in deadlock state.\n(C) Circular wait is a necessary condition for the formation of deadlock\n(D) If the current allocation of resources to processes leads the system to unsafe state then deadlock will\nnecessarily occur.\nSol.\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n33\n\nOption A:\nA cycle exist in the system but since \n1\nP\n does not need any more resources it will finish after some\ntime and \n3\nP\n will get resource\n1\nR\n this even in the presence of cycle the deadlock does not exist here\nR\n1\nP\n1\nP\n2\nP\n3\nR\n2\nOption B:\nWhen every edge is the assignment edge, that is, no process needs any more resources than the ones \nthat are already allocated, thus deadlock doesn't exist here.\nOption C:\nCircular wait is a necessary condition for Deadlock but it is not sufficient. 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diff --git a/frontend/public/assets/gate/cs/questions/2022/50/data.json b/frontend/public/assets/gate/cs/questions/2022/50/data.json index 58ee0c7..769bffb 100644 --- a/frontend/public/assets/gate/cs/questions/2022/50/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/50/data.json @@ -1,11 +1,3 @@ -{ - "id": "50", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "C", - "question_text": "Question 50\nFloating point number A, B and C stored in registered \n&\nA\nB\nC\nR R\nR\n as per IEEE -754, The 32 bit content\nstored in these registered in hexadecimal form\n0\n1400000\nA\nR\nXC\n\uf03d\n \n0\n42100000\nB\nR\nX\n\uf03d\n \n0\n41400000\nC\nR\nX\n\uf03d\nWhich is false\n(A) \n0\nA\nC\n\uf02b\n\uf03d\n(B) \n3\nB\nC\n\uf03d\n(C) \nC\nA\nB\n\uf03d\n\uf02b\n(D) \n(\n)\n0\nB\nC\n\uf02d\n\uf03e", - "answer_text": "C", - "explanation_text": "Sol. \n1100\n0001 0100\n0000\nA\n \uf03d\nBiased Exponent\n130, Exponent\n130 127\n3\n\uf03d\n\uf03d\n\uf02d\n\uf03d\n3\nDecimal\n1.1 2\n1100\n12\n\uf03d\uf02d\n\uf0b4\n\uf03d\uf02d\n\uf03d\uf02d\n0100\n0010\n0001\n0000\nB\n \uf03d\nBiased Exponent\n132, Exponent\n132 127\n5\n\uf03d\n\uf03d\n\uf02d\n\uf03d\n5\nDecimal\n1.001 2\n100100\n36\n\uf03d\uf02b\n\uf0b4\n\uf03d\n\uf03d\n0100\n0001 0100\n0000\nC\n \uf03d\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n36\n\nBiased Exponent\n128\n2\n130, Exponent\n130 122\n3\n\uf03d\n\uf02b\n\uf03d\n\uf03d\n\uf02d\n\uf03d\n3\nDecimal\n1.1 2\n1100\n12\n\uf03d\uf02b\n\uf0b4\n\uf03d\n\uf03d\uf02b\n12\nA\n \uf03d\uf02d\n36\nB\n \uf03d\n12\nC\n \uf03d\uf02b\nDBMS" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:55f95d20533fed7a39da3a9e40776453eae8c302d4643a2e147621b307dc5180 +size 1374 diff --git a/frontend/public/assets/gate/cs/questions/2022/50/exp.webp b/frontend/public/assets/gate/cs/questions/2022/50/exp.webp index 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100644 --- a/frontend/public/assets/gate/cs/questions/2022/51/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/51/data.json @@ -1,11 +1,3 @@ -{ - "id": "51", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "A", - "question_text": "Question 51\nIn relational data model which is true.\n(A) A relation with only two attribute is always BCNF\n(B) BCNF decomposition preserve functional dependencies\n(C) Every relation has at least one non prime attribute\n(D) If all attributes of a relation are prince attributes, then relation is in BCNF.", - "answer_text": "A", - "explanation_text": "Sol. \nA relation with two attributes is always in BCNF." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:269feead3a46f36f414c0222b08c344881a2783b5c80e4f57252944eea2b2157 +size 574 diff --git a/frontend/public/assets/gate/cs/questions/2022/51/exp.webp 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following for relations and respective schema with tuples.\nStudent (sno, sname, dno)\nDepartment (dno, dname)\nCourse (cno, cname, dno)\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n37\n\nRegister (sno, dno)\nStudent\nsno \nsname \ndno\nS1 \nJ \nD01\nS2 \nR \nD01\nS3 \nJ \nD02\nS4 \nJ \nD01\nS5 \nM \nD03\nDepartment\ndno \ndname\nD01 \nCSE\nD02 \nEEE\nCourse\ncno \ncname \ndno\n11\nC\n \nDS \nD01\n12\nC\n \nDS \nD01\n21\nC\n \nDE \nD02\n22\nC\n \nPT \nD02\n23\nC\n \nCV \nD03\nRegister\nsno \ncno\nS01 \n17\nC\nS01 \n12\nC\nS02 \n11\nC\nS03 \n21\nC\nS03 \n22\nC\nS03 \n23\nC\nS04 \n11\nC\nS04 \n12\nC\nS05 \n11\nC\nS05 \n21\nC\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n38\n\nSelect * from student S where not exist (select cno from course where dno = \u201cD01\u201d except select cno, \nfrom register where sno = S.sno).", - "answer_text": "2", - "explanation_text": "Sol. \nSelect * from student S where not exist\n((Select cno from course where dno = D01 except))\n(Select cno from register where sno = S.sno)\nThe above query is co-related sub query so we need to execute inner query for every row of outer table.\nHence it gives 2 rows in output\nS1 \nJ \nD01\nS4 \nM \nD03" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:d09033a5327747fc8782800e482b6fd9af03051af28ab0389fc3d143f946562c +size 1468 diff --git a/frontend/public/assets/gate/cs/questions/2022/53/exp.webp b/frontend/public/assets/gate/cs/questions/2022/53/exp.webp index 9b909b2918c4c3d95d453cb54d36d74128b94548..e46347db582111f037baa87ff4cf6c82d7081a70 100644 GIT binary patch literal 129 zcmWN?K@!3s3;@78uiyg~k_KA(8xo>0qtcPK2Vbvy*-Jm8^|!6Zv5(EUM>}rM`2Penw|f@ek@NulfV7$LfAenvpPTo{zv>X`FHl8%`fO5U?0UlkAHIh=lgm6%m4rV z|DS)Y|8(&w`JeUQ^MBI*0Dp>qEB@vE!~8$|zwbZ)|Ns6Re#8EM`=|N;*>7WCk$+kL zUH#|%PwXGq7xACwU*!L^f0zH?{v-eY|6jJ>zyF*6vp&Y3t3T|2KmYO-sV|2K_L`ya z_*Ed3*pYBhP*ne5JvYt!Jv*>!MFqiC08bpas 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-1,11 +1,3 @@ -{ - "id": "54", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "D", - "question_text": "Question 54\nLet \n( )\ni\nR z\n and \n( )\ni\nW z\n denote read and write operations on data element \nz\n by a transaction \n1\n,\nT\n consider\nschedule \nS\n with four transaction\n4\n2\n3\n1\n1\n2\n3\n4\n:\n( )\n( )\n( )\n( )\n( )\n( )\n( )\n( )\nS R x R x R x R y W y W x W y R\ny\n(A) \n4\n1\n3\n2\nT\nT\nT\nT\n\uf0ae\n\uf0ae\n\uf0ae\n \n(B) \n1\n4\n3\n2\nT\nT\nT\nT\n\uf0ae\n\uf0ae\n\uf0ae\n(C) \n3\n1\n4\n2\nT\nT\nT\nT\n\uf0ae\n\uf0ae\n\uf0ae\n \n(D) \n1\n3\n4\n2\nT\nT\nT\nT\n\uf0ae\n\uf0ae\n\uf0ae", - "answer_text": "D", - "explanation_text": "Sol. \n4\n2\n3\n1\n1\n2\n3\n4\n:\n( )\n( )\n( )\n( )\n( )\n( )\n( )\n( )\nS R x R x R x R y W y W x W y R y\n1\nT\n \n2\nT\n \n3\nT\n \n4\nT\n( )\nR x\n( )\nR x\n( )\nR x\n( )\nR x\n( )\nW y\n( )\nW x\n( )\nW y\n( )\nR y\n\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n39\n\nApply topological sort then the sequence is\n1 3\n4\n2\nTT T T" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:acd5855ea9b75c1eb1a70cfd3dbfe12d9322e9315eaf1c864c89a7b137810400 +size 1097 diff --git a/frontend/public/assets/gate/cs/questions/2022/54/exp.webp b/frontend/public/assets/gate/cs/questions/2022/54/exp.webp index a8e98f9afc3bf1468259b255e2ded839e4035e10..f6fc64dd95cfc70171a38552b38088d9e50caf55 100644 GIT binary patch literal 130 zcmWN^%MHUI3;@tOQ?Nh-HouT^e+C6)<3e&d5le|XPb}LK9<{h z=7suOje|*DAbKlu)P&A&IqD3UDO$kdeI_OYiGzvk9csLv(AvUG!Ri2dg`_F3jtpz` MyBO`q5~2eXfA#7oq5uE@ literal 18920 zcmV)LK)JtCNk&HCNdN#>MM6+kP&gpeNdN%wD*>GWDr5ri0X|VCk47V+A)zC5n$U0x z31x2fFc8M98tv;Y-hFT~d7^*Q_npmtto--*FUGHYE>rGf)%u2i1HPW8`eyg#<$w5J z-9K`F#(dTPi~h&hzvmzHf1bZUf36?vzq)m>{n+&h{YU%P{%`Z1?w{yC+JBSxNBe2} z3GfH}$NO)rr~PkZfAAmg{e^#?e_j8l>y7(c@SFW}{ip5^z<2Zi@*n>FfIt8GfPd}l 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"MCQ", - "key": "A, C", - "question_text": "Question 55\nEmployee (eid, Name)\nBrand (bid, bName)\nOwn (eid, bid)\nReturn the set of eids who own all the brands.\n(A) \n,\n(\n(Own) /\n(Brand))\neid\neid bid\nbid\n\uf070\n\uf070\n\uf070\n(B) \n,\n(\n(Own) /\n(Own))\neid\neid bid\nbid\n\uf070\n\uf070\n\uf070\n(C) \n,\n(Own)\n/\n(Own)\n(Brand)\n(Own))\neid\neid\neid\nbid\neid bid\n\uf070\n\uf02d\uf070\n\uf070\n\uf0b4\uf070\n\uf02d\uf070\n(D) \n(\n(Own)\n(Own)) /\n(Brand)\neid\neid\nbid\nbid\n\uf070\n\uf070\n\uf0b4\uf070\n\uf070", - "answer_text": "A, C", - "explanation_text": "Sol. \nEmployee (eid, ename) Brand (bid, bname) Own (eid, eid)\nTo find set of eids who own all the brand we need to divide the table own by table brand like.\n(A) \n,\n(\n(Own) /\n(Brand))\neid\neid bid\nbid\n\uf070\n\uf070\n\uf070\n and the division operation can be represented using \n( ,\n)\n\uf0b4\uf02d\noperations like\n(C) \n,\n(Own)\n/\n(Own)\n(Brand)\n(Own))\neid\neid\neid\nbid\neid bid\n\uf070\n\uf02d\uf070\n\uf070\n\uf0b4\uf070\n\uf02d\uf070" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:95f4bf96996e34cb212e84c84427827e8ad798ef7b7efb671912124f66d399ee +size 1164 diff --git a/frontend/public/assets/gate/cs/questions/2022/55/exp.webp b/frontend/public/assets/gate/cs/questions/2022/55/exp.webp index 553e183c417593ace38a8e663fa9604ca4bc98bc..3b074b67f9f61ead107da6ee297c67cdf82659e5 100644 GIT binary patch literal 130 zcmWN?%MrpL5CG77s-OV_EdO+~z#`13WL(U_>h)dTMQ7U>rs7s!kTr MY&^asw6Y1d9|H?01poj5 literal 10240 zcmV+bDF4?|Nk&HaCjbCfMM6+kP&gp$CjbEOg8-cYDr5p<06tM7jYK1&Ar;z|I5-6a zvbS$b^u>TLX_)ZxUV1l|@;o_bQ?)GUdLr`x=WFIa&QJAM+80GXs%N1G>aVR2tq=LU zm#-ZEMerT^H}v1gUp#*c_}A#4(*It6zIylnG2_q7|78D({twij;vZao=l#F-^ZW8|m3YI_W_;`t_@-Q7F3dAsoR zN$ZFUqG}xU1ib^De=4ishnO#%c5JeA z#XsHL1zkI?xfls_RT><&pr~$Sd}(gjX>)Bi3v9ok2PrY=&=1bYJf#I!Q;+SMu5E$$V@aW@Cr$qBB*alofiW z!i>{VVp;xj-k>QUeToieO~%VD6@45 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___________ is too high for it to be considered _________ .\n(A) Fare/Fair \n(B) Fair/ Fare \n(C) Faer/ Fair \n(D) Fare/fare", - "answer_text": "A", - "explanation_text": "Sol. \nFare : the amount of money you pay to travel by bus, train, taxi etc.\nFair : appropriate and acceptable in a particular situation the fare is high for it to be considered fair.\nHere it is clearly seen that we are talking about amount, so first filler should be \u201cfare\u201d and from this option \nB and C are eliminated and second filler is given the sense of right, so it should be \u201cfair\u201d" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:2fdd0d2a826a6a7348cb3544eb136d25c3aa00c7b08c3ebdc3eea23f32f6e424 +size 765 diff --git a/frontend/public/assets/gate/cs/questions/2022/56/exp.webp b/frontend/public/assets/gate/cs/questions/2022/56/exp.webp index 363d1ce8ad0d3542f312b6518c622013a9884144..76dfdffd708b1a94da4a6a8e053d6ad0a9d346e1 100644 GIT binary patch literal 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a/frontend/public/assets/gate/cs/questions/2022/57/data.json b/frontend/public/assets/gate/cs/questions/2022/57/data.json index adf051d..09d1a79 100644 --- a/frontend/public/assets/gate/cs/questions/2022/57/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/57/data.json @@ -1,11 +1,3 @@ -{ - "id": "57", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "A", - "question_text": "Question 57\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n40\n\nA palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the \nfollowing two plates painters with letters\nA\nD\nFrom the additional plates gives in the options, which one of the combinations of additional plates would \nallow the players to construct in five letter palindrome. The players should use all five plates exactly once. \nThe plates can be rotated in their plane.\n(A) \n \n \n(B)\n(C) \n \n \n(D)", - "answer_text": "A", - "explanation_text": "Sol. \nAs we know, palindrome is word that mads the same forwards and backwards\nRADAR is the only word. 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"explanation_text": "Sol. \n \n \n2\n2\n6\n0\nx\nx\n\uf02b\n\uf02b\n\uf03d\nIf \nr\n is root, then\n2\n2\n6\n0\nr\nr\n\uf02b\n\uf02b\n\uf03d\n2\n2\n6\nr\nr\n\uf02b\n\uf03d\uf02d\n \n \n \n \n \n \n \n\u2026 (i)\nNow, \n(\n2)(\n3)(\n4)(\n5)\nr\nr\nr\nr\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf0de\n \n{(\n2)(\n4)}{(\n3)(\n5)}\nr\nr\nr\nr\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf0de\n \n2\n2\n(\n6\n8)(\n8\n15)\nr\nr\nr\nr\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf0de\n \n2\n2\n(\n2\n4\n8)(\n2\n6\n15)\nr\nr\nr\nr\nr\nr\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02b\n\uf02b\nFrom (i), \n2\n2\n6\nr\nr\n\uf02b\n\uf03d\uf02d\n\uf0de\n \n(4\n2)(6\n9)\nr\nr\n\uf02b\n\uf02b\n\uf0de\n \n2(2\n1)3(2\n3)\nr\nr\n\uf02b\n\uf02b\n\uf0de\n \n6(2\n1)(2\n3)\nr\nr\n\uf02b\n\uf02b\n\uf0de\n \n2\n6(4\n8\n3)\nr\nr\n\uf02b\n\uf02b\nFrom equation (i),\n2\n2\n6\nr\nr\n\uf02b\n\uf03d\uf02d\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n41\n\n2\n4(\n2 )\n24\nr\nr\n\uf02b\n\uf03d\uf02d\n\uf0de\n \n6( 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b/frontend/public/assets/gate/cs/questions/2022/65/data.json index de700be..f3c01a7 100644 --- a/frontend/public/assets/gate/cs/questions/2022/65/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/65/data.json @@ -1,11 +1,3 @@ -{ - "id": "65", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "B", - "question_text": "Question 65\nIn a currently conducted National Entrance Test, Boys constituted 65% of those who appeared for the test. \nGirls constituted the remaining candidates and they accounted for 60% of the qualified candidates. Which \none of the following is the correct logical inference based on the information provided in the above passage \n?\n(A) Equal number of boys and girls appeared for the test\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n45\n\n(B) The number of boys who qualified the test is less than the number of girls who qualified.\n(C) The number of boys who appeared for the test is less than the number of girls who appeared.\n(D) Equal number of boys and girls qualified.", - "answer_text": "B", - "explanation_text": "Sol.\n100% (Assumed total student)\nBoys (65%)\nGirls (35%)\n3\n60%\n5\n\uf03d\nPassed (60%)\n3\n35\n21\n5\n\uf0b4\n\uf03d\n7\n\uf0b4\n3\n21 ( )\ng\n7\n\uf0b4\n5\n35 ( + )\ng B\n21 Passed Girls\n\n14 Passed Boys (35 \u2013 21 = 14)\n\n\uf076\uf076\uf076\uf076\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:b63ad8f5860cf034a4fc6474c0ba1b88426e408441bf16853921c6f8e1d556d6 +size 1191 diff --git 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zmHJ-+`SjS`_rn1TzO|>82Ymx*D?l^>MH=P+)=&uf2OL!cf+n_zho3gc9||agHu_k8pr?uidzgp diff --git a/frontend/public/assets/gate/cs/questions/2022/7/data.json b/frontend/public/assets/gate/cs/questions/2022/7/data.json index df3cbd2..9ea603f 100644 --- a/frontend/public/assets/gate/cs/questions/2022/7/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/7/data.json @@ -1,11 +1,3 @@ -{ - "id": "7", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "B,C,D\n \n80\n \n5", - "question_text": "Question 7\nWhich of the following statements is TRUE?\n(A) Symbol table is accessed only during the lexical analysis.\n(B) LR (1) parsing is sufficient for DCFL.\n(C) The LALR (1) parser for a grammar G cannot have R/R conflict if the LR (1) parser for G does not\nhave R/R conflict\n(D) Data flow analysis is necessary for run time memory management.", - "answer_text": "B,C,D\n \n80\n \n5", - "explanation_text": "Sol.\nFrom given statements\nStatements B, C, and D are true. \nQuestion 8\nConsider the following grammar along with translation rules:\n1\n \n#\nS\nS\nT\n\uf0ae\n \n1\n{S.val\n.val*T.val}\nS\n\uf03d\nS\nT\n\uf0ae\n \n \n{S.val\nT.val}\n\uf03d\n, %\nT\nT\nR\n\uf02b\n \n1\n(T.val\nT val R.val)\n\uf03d\n\uf0b8\nT\nR\n\uf0ae\n \n \n{T.val\nR.val}\n\uf03d\nR\nid\n\uf0ae\n \n \n{R.val\nid.val}\n\uf03d\nUsing translation rules, the computed value of the S.val for the expression\n20#10%5#8%2%2\n is ______.\nSol.\nAnnotated parse tree\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n5\n\nS\n.val = 80\nS\n1\n.val = 40\n#\nT\n.val = 2\nS\n1\n.val = 20\n#\nT\n.val = 2\nT\n1\n.val = 4\n%\nR\n.val = 2\nT\n1\n.val = 10 %\n R\n.val = 5\nT\n1\n.val = 8 %\n R\n.val = 2\nid\n.val = 2\nT\n.val = 20\nR\n.val = 20\nR\n.val = 10\nid\n.val = 5\nR\n.val = 8\nid\n.val = 2\n2\nid\n.val = 20\nid\n.val = 10\n5\nid\n.val = 8\n2\n\uf05c\n \n.val\n80\nS\n\uf03d\n \nQuestion 9\n20\n10\n8\nConsider the augmented grammar with \n{ , ,(,),\n}\nid\n\uf02b\uf02a\nas the set of terminals.\n'\n.\nS\nS\n\uf0ae\n|\nS\nS\nR R\n\uf0ae\n\uf02b\n*\n|\nR\nR P P\n\uf0ae\n( )|\nP\nS\nid\n\uf0ae\nIf \n0\nI\n is the set of two \n(0)\nLR\nitems \n\uf05b\n\uf05d\uf05b\n\uf05d\n\uf07b\n\uf07d\n'\n. ,\n.\n,\nS\nS\nS\nS\nR\n\uf0ae\n\uf0ae\n\uf02b\nthen goto \n\uf028\n\uf029\n0\nClosure( ,),\nI\n\uf02b\ncontains\nexactly _____ items.\nSol.\n1\nI\n0\nI\nS\nS\nR\n\uf0ae\n\uf02b\uf0d7\nR\nRP\n\uf0ae\uf0d7\nR\nP\n\uf0ae\uf0d7\n\uf02b\nS\nS\n\uf0ae\n\uf0d7\n( )\nP\nS\n\uf0ae\uf0d7\nS\nS\nR\n\uf0ae\n\uf0d7\uf02b\n.\nP\nid\n\uf0ae\n\n5 item\n\uf05c\nComputer Organization and Architecture" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:9d118d82bb4880618094408471bdac919e76813988f38a37e2dfcd8f15d7dbb9 +size 631 diff --git a/frontend/public/assets/gate/cs/questions/2022/7/exp.webp b/frontend/public/assets/gate/cs/questions/2022/7/exp.webp index 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"2023", - "year": "2023", - "type": "MCQ", - "key": "(A) \nSol.\n \nFollowing the execution sequence\nMain ( )\nF\n1\n ( )\nF\n3\n ( )\nF\n2\n (2)\nReturn (1)\nReturn (5)\nx\n =2\nF\n3\n ( )\nelse\nreturn ( *\n( \n_\n 1))\nx F x\n2\nreturn ( *\n(1))\nx F\n2\nReturn (5)\nF\n3\n ( )\nF\n1\n (1)\nReturn (5)\nReturn (1)\nHence, the correct option is (A). \nQuestion 27 \n \nConsider the control flow graph shown.\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n27\n\nENTRY\n1\nB\n1\ni\nm\n=\n-\nj\nn\n=\n10\na\n =\n2\nB\n1\ni\ni\n= +\n1\nj\nj\n=\n-\n3\nB\n20\na\n =\n4\nB\n1\ni\na\n=\n+\nWhich one of the following choices correctly lists the set of live variables at the exit point of each basic \nblock? \n[Compiler Design, Syntax Directed Translation] \n \n(A) B1: {}, B2: {a}, B3: {a}, B4: {a} \n \n(B) B1: {i, j}, B2: {a}, B3: {a}, B4: {i} \n \n(C) B1: {a, i, j}, B2: {a, i, j}, B3: {a, i}, B4: {a} \n \n(D) B1: {a, i, j}, B2: {a, j}, B3: {a, j}, B4: {a, i, j} \n (D) \nSol.\n \nA variable \n'\n'\nV\n is live (for statement \nb\n ) if there exist a path from this statement to another statement is \n' '\na\n in CFG such that for each \n\uf03c\uf03d\n\uf03c\nb\nk\na\n and \nV\n is defined in any statement \nk\n in CFG.\nEXIT\nFor \n1\nB\n : There\u2019s path to \n2\n3\n,\nB B\n and \n4\nB\n .\nIn this path \n' '\ni\n and \n'\n'\nJ\n are live as they\u2019re both used before modifying.\n' '\na\n is not live as it\u2019s used in \n3\nB\n before being used in \n4\nB\n .\nAnother path is \n2\n4\n\uf0ae\nB\nB\nWhere all 3 \n' '\na\n , \n' '\ni\n and \n'\n'\nJ\n are live so live variable at exit of \n1\n{ , , }\n\uf03d\nB\na i J\n .\nFor \n2\nB\n : Similarly for path \n3\n4\n,\nB B\n \n'\n'\nJ\n is live for path \n4\nB\n \n' '\na\n and \n'\n'\nJ\n are live.\nFor \n3\nB\n : Same as \n1\nB\n as path for exit is same.\nSo, live variable at exits of \n4\n{ , , }\n\uf03d\nB\na i J\n .\ni \nj \nm \nn \na\n1\nB\n \nLive Live Dead Dead Live\n2\nB\n \nDead Live \nDead Dead Live\n3\nB\n \nDead Live \nDead Dead Live\n4\nB\n \nLive \nLive \nDead Dead live \n \nHence, the correct option is (D). \nQuestion 28\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n28\n\nConsider the two functions incr and decr shown below. \n \n[Operating System, Process Management II] \n \nincr(){ \ndecr(){ \n \n \nwait(s); \n \nwait(s); \n \n \nX = X+1; \n \nX = X-1; \n \n \nsignal(s); \n \nsignal(s); \n \n} \n \n} \n \nThere are 5 threads each invoking incr once, and 3 threads each invoking decr once, on the same shared \nvariable X. The initial value of X is 10. \n \nSuppose there are two implementations of the semaphore s, as follows: \n \nI-1: s is a binary semaphore initialized to 1. \n \nI-2: s is a counting semaphore initialized to 2. \n \nLet V1, V2 be the values of X at the end of execution of all the threads with implementations I-1, I-2, \nrespectively. \n \nWhich one of the following choices corresponds to the minimum possible values of V1, V2, respectively? \n \n(A) 15, 7 \n(B) 7, 7 \n \n(C) 12, 7 \n(D) 12, 8 \n (C)", - "question_text": "Question 26 \n \nConsider the following program :\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n26\n\nint main() \n{ \n \nf1(); \n \nf2(2); \n \nf3(); \n \nreturn(0); \n}\nint f1() \n{ \n \nreturn(1); \n}\nint f2(int X) \n{ \n \nf3(); \n \nif (X==1) \n \n \nreturn f1(); \n \nelse \n \n \nreturn (X*f2(X-1)); \n}\nint f3() \n{ \n \nreturn(5); \n}\nWhich one of the following options represents the activation tree corresponding to the main function?\n[Algorithm, Complexity Analysis & Asympotic] \n \n(A)\nmain\nmain\n(B)\n1\nf\n2\nf\n3\nf\n1\nf\n2\nf\n3\nf\n3\nf\n1\nf\n3\nf\n2\nf\n\n3\nf\n1\nf\n\n(C)\n(D)\nmain\nmain\n1\nf\n2\nf\n3\nf\n1\nf\n1\nf\n2\nf\n3\nf\n2\nf\n3\nf\n1\nf\n", - "answer_text": "(A) \nSol.\n \nFollowing the execution sequence\nMain ( )\nF\n1\n ( )\nF\n3\n ( )\nF\n2\n (2)\nReturn (1)\nReturn (5)\nx\n =2\nF\n3\n ( )\nelse\nreturn ( *\n( \n_\n 1))\nx F x\n2\nreturn ( *\n(1))\nx F\n2\nReturn (5)\nF\n3\n ( )\nF\n1\n (1)\nReturn (5)\nReturn (1)\nHence, the correct option is (A). \nQuestion 27 \n \nConsider the control flow graph shown.\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n27\n\nENTRY\n1\nB\n1\ni\nm\n=\n-\nj\nn\n=\n10\na\n =\n2\nB\n1\ni\ni\n= +\n1\nj\nj\n=\n-\n3\nB\n20\na\n =\n4\nB\n1\ni\na\n=\n+\nWhich one of the following choices correctly lists the set of live variables at the exit point of each basic \nblock? \n[Compiler Design, Syntax Directed Translation] \n \n(A) B1: {}, B2: {a}, B3: {a}, B4: {a} \n \n(B) B1: {i, j}, B2: {a}, B3: {a}, B4: {i} \n \n(C) B1: {a, i, j}, B2: {a, i, j}, B3: {a, i}, B4: {a} \n \n(D) B1: {a, i, j}, B2: {a, j}, B3: {a, j}, B4: {a, i, j} \n (D) \nSol.\n \nA variable \n'\n'\nV\n is live (for statement \nb\n ) if there exist a path from this statement to another statement is \n' '\na\n in CFG such that for each \n\uf03c\uf03d\n\uf03c\nb\nk\na\n and \nV\n is defined in any statement \nk\n in CFG.\nEXIT\nFor \n1\nB\n : There\u2019s path to \n2\n3\n,\nB B\n and \n4\nB\n .\nIn this path \n' '\ni\n and \n'\n'\nJ\n are live as they\u2019re both used before modifying.\n' '\na\n is not live as it\u2019s used in \n3\nB\n before being used in \n4\nB\n .\nAnother path is \n2\n4\n\uf0ae\nB\nB\nWhere all 3 \n' '\na\n , \n' '\ni\n and \n'\n'\nJ\n are live so live variable at exit of \n1\n{ , , }\n\uf03d\nB\na i J\n .\nFor \n2\nB\n : Similarly for path \n3\n4\n,\nB B\n \n'\n'\nJ\n is live for path \n4\nB\n \n' '\na\n and \n'\n'\nJ\n are live.\nFor \n3\nB\n : Same as \n1\nB\n as path for exit is same.\nSo, live variable at exits of \n4\n{ , , }\n\uf03d\nB\na i J\n .\ni \nj \nm \nn \na\n1\nB\n \nLive Live Dead Dead Live\n2\nB\n \nDead Live \nDead Dead Live\n3\nB\n \nDead Live \nDead Dead Live\n4\nB\n \nLive \nLive \nDead Dead live \n \nHence, the correct option is (D). \nQuestion 28\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n28\n\nConsider the two functions incr and decr shown below. \n \n[Operating System, Process Management II] \n \nincr(){ \ndecr(){ \n \n \nwait(s); \n \nwait(s); \n \n \nX = X+1; \n \nX = X-1; \n \n \nsignal(s); \n \nsignal(s); \n \n} \n \n} \n \nThere are 5 threads each invoking incr once, and 3 threads each invoking decr once, on the same shared \nvariable X. The initial value of X is 10. \n \nSuppose there are two implementations of the semaphore s, as follows: \n \nI-1: s is a binary semaphore initialized to 1. \n \nI-2: s is a counting semaphore initialized to 2. \n \nLet V1, V2 be the values of X at the end of execution of all the threads with implementations I-1, I-2, \nrespectively. \n \nWhich one of the following choices corresponds to the minimum possible values of V1, V2, respectively? \n \n(A) 15, 7 \n(B) 7, 7 \n \n(C) 12, 7 \n(D) 12, 8 \n (C)", - "explanation_text": "Sol. \nFor implementation \n1\nI\n :\nBinary semaphore \n1\n\uf03d\ns\n and \n()\nincr\n called 5 times and \n()\ndecr\n called 3 times by threads\nSo, it alternate as sequence. \n \n()\nincr\n, \n()\ndecr\n, \n()\nincr\n, \n()\ndecr\n, \n()\nincr\n, \n()\ndecr\n which all make \nX\n as same value 10 and then two \n()\nincre\nmaking \n1\n12\n\uf03d\nV\nFor implementation \n2\nI\n :\nCounting semaphore \n2\n\uf03d\ns\n. \n \nSo, one possible sequence is \n \n()\ndecr\n{ \n \nwait(s); \n//s becomes \u20181\u2019 \n \nread \nX\n; \n//\nX\n becomes/reads and stores value 10. \n \n--------------- \n \nRun incr ( ) 5 times \n \n-------------- \n \n9\n\uf03d\nX\n \n//write \nX\n . \n \nTwo more decr ( ) so, \n7\n\uf03d\nX\n.\nValue \n2\n7\n\uf03d\nV\n.\nHence, the correct option is (C).\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n29\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:e72bac4953a9815709e5b661879bc63aa5a8e9e91baf56836639d54c0962b321 +size 1499 diff --git a/frontend/public/assets/gate/cs/questions/2023/26/q.webp b/frontend/public/assets/gate/cs/questions/2023/26/q.webp index 47bf8a0183f125405ba505859a2dc5f8d151b390..fdada48b7bf5757a2f78390e8c57f556b348115b 100644 GIT binary patch literal 130 zcmWN{OA^8$3;@tQr{DsXl<>2+fk1>Am5!-hczU~fn|HR4jQQ66ICj~Ld5q)sWLYlz zw=6VYM)pSLT-6*^OV8GajWPRXL&`ZqwE^#*(K9)_0s_^Pts_s+xcL$)!?lq@0gRAB 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The starting non-terminal is \nS\n. \n \nWhich one of the following statements is CORRECT?\n[Theory of Computation, Properties of Language]\n \n \n(A) The language generated by \nG\n is \n(\n)*\na\nb\n\uf02b\n(B) The language generated by \nG\n is \n*(\n) *\na\na\nb b\n\uf02b\n(C) The language generated by \nG\n is \n* *(\n)\na b\na\nb\n\uf02b\n(D) The language generated by \nG\n is not a regular language \nAns. (B) \nSol.\n \n:\n \nMethod 1 \n:\n \n \nOption A : Since \nE\n can\u2019t be generated by \nG\n so, option (A) is false, which accept \nE\n . \n \nOption C : Since \n'\n'\nba\n \nG\n but is accepted by \n* *(\n)\n\uf02b\na b\na\nb\n \n10( )\nC\n s false.\nOption D : It is false since the language generated has satisfied all conditions of being regular language. \n \nOption B : It is true as it accepts all strings generated by \n*(\n) *\n\uf02b\na\na\nb b\n .\nHence, the correct option is (B). \n \n:\n \nMethod 2 \n:\nS\nasb\n\uf0ae\n\uf0b4\na\nxb a b\n\uf0b4\uf0ae\n\uf0b4\nS\na\ns\nb\n\uf0ae\n\uf02a\n\uf0de\n\uf0b3\n0\nn\nn\na sb n\nn\nn\na\nb\n\uf0de\n\uf0b4\nn\nn\na a\nbb\n\uf0de\n\uf0b4\nn\nn\na a\nb b\n\uf02a\n\uf02a\n\uf0de\n\uf0b4\n\uf02a\n\uf02a\n\uf02a\n\uf0de\n\uf0b4\nn\nn\na a\nb b\n(\n)\nn\nn\na a a\nb b b\n\uf02a\n\uf02a\n\uf0de\n\uf02b\n(\n)\na a\nb b\n\uf02a\n\uf02a\n\uf0de\n\uf02b", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version 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b/frontend/public/assets/gate/cs/questions/2023/31/data.json index d3fc70b..02f8292 100644 --- a/frontend/public/assets/gate/cs/questions/2023/31/data.json +++ b/frontend/public/assets/gate/cs/questions/2023/31/data.json @@ -1,11 +1,3 @@ -{ - "id": "31", - "stream": "computer-science-information-technology", - "packet": "2023", - "year": "2023", - "type": "MCQ", - "key": "", - "question_text": "Question 31 \n \nConsider the given C-code and its corresponding assembly code, with a few operands U1\u2013U4 being \nunknown. Some useful information as well as the semantics of each unique assembly instruction is \nannotated as inline comments in the code. The memory is byte-addressable. \n \n//C-code \n;assembly-code (; indicates comments) \n \n \n \n;r1-r5 are 32-bit integer registers \n \n \n \n;initialize r1=0, r2=10 \n \n \n \n;initialize r3, r4 with base address of a, b \n \n \nint a[10], b[10], i; \nL01: jeq r1, r2, end ;if(r1==r2) goto end \n \n// int is 32-bit \nL02: lw r5, 0(r4) \n;r5 <- Memory[r4+0] \n \nfor (i=0; i<10;i++) \nL03: shl r5, r5, U1 \n;r5 <- r5 << U1 \n \na[i] = b[i] * 8; \nL04: sw r5, 0(r3) \n;Memory[r3+0] <- r5 \n \n \n \nL05: add r3, r3, U2 ;r3 <- r3+U2 \n \n \n \nL06: add r4, r4, U3 \n \n \n \nL07: add r1, r1, 1 \n \n \n \nL08: jmp U4 \n;goto U4 \n \n \n \nL09: end \n Which one of the following options is a CORRECT replacement for operands in the position (U1, U2, \n \nU3, U4) in the above assembly code? \n \n \n \n \n[Computer Organisation & Architecture, Machine Instruction & Addressing Format]\n \n \n(A) (8, 4, 1, L02) \n(B) (3, 4, 4, L01) \n \n(C) (8, 1, 1, L02) \n(D) (3, 1, 1, L01) \nAns. (B) \nSol.\n \n:\n \nMethod 1 \n:\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n32\n\nHere an analyzing code we can observe that. We are to shift value of \n5\nr\n left by \nu\n places. In code were\nmultiplying element of \nb\n by 8. So, \n1\n3\n\uf03d\nu\n, which is same as multiplying value by 8 or \n3\n2\n .\nAlso, \n3\nr\n and \n4\nr\n stores storing address of next element of arrays \na\n and v. Since it\u2019s 32 bit system and size\nof int is 4B so well increment by 4 so, value of \n2\nu\n and \n3\nu\n s 4.\nWe have to jump to short of code i.e. \n01\nL\n so that for-loop can be run.\nSo, \n4\nu\n is \n01\nL\n.\nHence, the correct option is (B). \n \n:\n \nMethod 2 \n:\n \n \nSince memory is byte addressable and integer is 32 bit means 4 byte.\nSo increment variables and byte needed to add.\nLO5\n : add \n3\n3\n2\n, ,\nr r U\n \n3\n3\n2\nr\nr\nu\n\uf0ac\n\uf02b\nHere, \n2\n4\nU\n\uf03d\nSimilarly, \n3\n4\nU\n \uf03d\n8\nJUMPU4;gotoU4\nLO\n \uf03d\nThis instruction move the control to comparison condition\nSo, \n4\n1\nU\nLO\n\uf03d\nHence, option B is correct.\n1\n3,\n2\n4,\n3\n4,\n4\n1\nU\nU\nU\nU\nLO\n\uf03d\n\uf03d\n\uf03d\n\uf03d", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:1f940f4e0e12975b0d332db577b9075225accb3b991808587c165fe4b8c436e4 +size 3772 diff --git 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z3wzTQZ_1w7tc*f~G65YI|5g0weuimz?8F6r!6(i1TukyCwB!4pI6TrXa4uG~y`?%0 zztt4d)UWwUPH9RE> zPlHSN{Vj5NH9wG=H@m{sP`e(QIqT%8b5b}|-UPOZvgCdNB8Q_JpcNf2vvvVE3OG3* zVd_V~0|}Gh9N;g78f0Wh)dU**_J}D6Q&Mh@>|ds3^t{WNd6dLls2Zgq9(S;uZYvsY zvexrn&pq|DSqsd0UFa>c{k}P}lN*uI1tj3Yk*`+1a#YPC#-J1{Iu$QE62=o}VF9Pa zzS+Qi-w)2?5wsfEr#Lv1RZ%|rH_<8}mUs1|aqOi@MT?p=b<%d#GFg|rh7_5gUzkA2 csAYt_Zu~Jvf^!GPoo->$jbMCD7eD|207Ht|cK`qY diff --git a/frontend/public/assets/gate/cs/questions/2023/32/data.json b/frontend/public/assets/gate/cs/questions/2023/32/data.json index 8cd52d3..88d9ced 100644 --- a/frontend/public/assets/gate/cs/questions/2023/32/data.json +++ b/frontend/public/assets/gate/cs/questions/2023/32/data.json @@ -1,11 +1,3 @@ -{ - "id": "32", - "stream": "computer-science-information-technology", - "packet": "2023", - "year": "2023", - "type": "MCQ", - "key": "", - "question_text": "Question 32 \n \nA 4 kilobyte (KB) byte-addressable memory is realized using four 1 KB memory blocks. Two input \naddress lines (IA4 and IA3) are connected to the chip select (CS) port of these memory blocks through a \ndecoder as shown in the figure. The remaining ten input address lines from IA11\u2013IA0 are connected to \nthe address port of these blocks. The chip select (CS) is active high.\n[Computer Organisation & Architecture, Data Path & Control Unit]\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n33\n\nMSB\nIA11\nIA10\nIA9\nIA8\nIA7\nIA6\nIA5\nIA2\n1KB memory\n1KB memory\n1KB memory\n10 bit\n1KB memory\nIA1\nIA0\nAddr\nAddr\nAddr\nAddr\nLSB\nDecoder\nX1\n CS\nX2\n CS\nX3\nX4\nCS\nCS\n0\nQ\nIA4\nIA3\nA1\nA0\n1\nQ\n2\nQ\n3\nQ\nThe input memory addresses (IA11\u2013IA0), in decimal, for the starting locations (Addr=0) of each block \n(indicated as X1, X2, X3, X4 in the figure) are among the options given below. Which one of the following \noptions is CORRECT? \n \n(A) (0, 1, 2, 3) \n(B) (0, 1024, 2048, 3072) \n \n(C) (0, 8, 16, 24) \n(D) (0, 0, 0, 0) \nAns. (C) \nSol.\n \nThe addresses are of length 12 bits.\nThe 2:4 decoder with input \n3\nIA\n and \n4\nIA\n decides which chip is selected.\nPossible values of \n4\n3\nIA IA\n at 4.\nFor starting address the valued \n11\n5\n.....\nI\nI\n remains \n'0'\n and we\u2019re focused on value from \n4\n0\n......\nI\nI\n .\nSo,\n4\nI\n \n2\nI\n \nResulting value/Starting address\n0 \n0 \n0\n(\n)\nX\n \n0(00000)\n0 \n1 \n1\n(\n)\nX\n \n8(01000)\n1 \n0 \n2\n(\n)\nX\n \n16(10000)\n1 \n1 \n3\n(\n)\nX\n \n24(11000)\nHence, the correct option is (C). \nQuestion 33 \n \n \n \n(Digital Electronics) \n \nConsider a sequential digital circuit consisting of T flip-flops and D flip-flops as shown in the figure. \nCLKIN is the clock input to the circuit. At the beginning, Q1, Q2 and Q3 have values 0, 1 and 1, \nrespectively.\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n34\n\nT\nD\nT\nQ1\nQ\nQ2\nQ\nQ3\nQ\nCLK\nCLK\nCLKIN\nCLK\nWhich one of the given values of (Q1, Q2, Q3) can NEVER be obtained with this digital circuit?\n[Digital Logic, Sequential Circuit] \n \n(A) (0, 0, 1) \n(B) (1, 0, 0) \n \n(C) (1, 0, 1) \n(D) (1, 1, 1) \nAns. (A) \nSol.\n \nGiven circuit is made from two \nT\n flip flops and one D flp-flop.\nHere, \n1\n3\n\uf03d\nT\nQ\nSo, \n1\n1\n1\n3\n1\n3\n1\n\uf02b\n\uf03d\n\uf0c5\n\uf03d\n\uf0c5\n\uf03d\nQ\nT\nQ\nQ\nQ\nQ\nQ\nAlso, \n2\n1\n\uf03d\nD\nQ\nSo, \n2\n1\n\uf02b\n\uf03d\nQ\nQ\nNow, \n3\n2\n\uf03d\nT\nQ\n3\n3\n2\n3\n2\n\uf02b\n\uf03d\n\uf0c5\n\uf03d\n\uf0c5\nQ\nT\nQ\nQ\nQ\nThe state table looks like :\n1\nQ\n \n2\nQ\n \n3\nQ\n \n1\n3\n1\nT\nQ\nQ\n\uf03d\n2\n1\nD\nQ\n\uf03d\n \n3\n2\n3\nT\nQ\nQ\n\uf03d\n\uf0c5\n0 \n1 \n1 \n0 \n0 \n0 \n0 \n0 \n0 \n1 \n0 \n0 \n1 \n0 \n0 \n0 \n1 \n0 \n0 \n1 \n0 \n1 \n0 \n1 \n1 \n0 \n1 \n1 \n1 \n1 \n1 \n1 \n1 \n1 \n1 \n0 \n1 \n1 \n0 \n0 \n1 \n1 \n \n \nSo, the missing state is 001. \n \nHence, the correct option is (A). \nQuestion 34 \n \n(Digital Electronics) \n \nA Boolean digital circuit is composed using two 4-input multiplexers (M1 and M2) and one 2-input \nmultiplexer (M3) as shown in the figure. X0\u2013X7 are the inputs of the multiplexers M1 and M2 and could \nbe connected to either 0 or 1. The select lines of the multiplexers are connected to Boolean variables A, B \nand C as shown. \n \n \n[Digital Logic, Combination circuit]\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n35\n\nMultiplexer\n0\nX0\nM1\n1\nX1\nQ\n2\nX2\nMultiplexer\n3\nX3\nS1 S0\nM3\n0\nA\nC\nQ\nMultiplexer\n1\nS\n0\nX4\nM2\n1\nX5\nQ\n2\nX6\n3\nX7\nS1 S0\nA\nC\nWhich one of the following set of values of (X0, X1, X2, X3, X4, X5, X6, X7) will realise the Boolean\nB\nfunction \n.\n. .\nA\nAC\nAB C\n\uf02b\n\uf02b\n? \n \n(A) (1, 1, 0, 0, 1, 1, 1, 0) \n(B) (1, 1, 0, 0, 1, 1, 0, 1) \n \n(C) (1, 1, 0, 1, 1, 1, 0, 0) \n(D) (0, 0, 1, 1, 0, 1, 1, 1) \nAns. (C) \nSol.\n \nGiven :\n\uf03d\n\uf02b\n\uf0d7\n\uf02b\nF\nA\nA C\nABC\n .\nSince final output is given by \n2 1\n\uf0b4\n mux \n3\nm\nSo, MSB (most significant bit) is selection line of \n3\nm\n i.e. \nB\n .\nAlso we can observe from \n1\nM\n and \n2\nM\n , that the selection lines \n1\n0\n( ,\n)\n( , )\n\uf03d\nS S\nA C\n so the function has \nC\nas LSB\nThe function \n( , , )\n \uf03d\n\uf02b\n\uf02b\nF B A C\nA\nAC\nABC\n is implemented using inputs as :\nB \nA \nC\n0\nX\n \n0 \n0 \n0 \n1\n\uf0ae\nDue to \n'\nA\n1\nX\n \n0 \n0 \n1 \n1\n\uf0ae\nDue to \n'\nA\n2\nX\n \n0 \n1 \n0 \n0\n3\nX\n \n0 \n1 \n1 \n1\n\uf0ae\nDue to \n'\nAB C\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n36\n\n4\nX\n \n1 \n0 \n0 \n1\n\uf0ae\nDue to \n'\nA\n5\nX\n \n1 \n0 \n1 \n1\n\uf0ae\nDue to \n'\nA\n6\nX\n \n1 \n1 \n0 \n0\n7\nX\n \n1 \n1 \n1 \n0\n\nSo, \n0\n1\n7\n(\n,\n.........\n)\n(11011100)\n\uf03d\nX\nX\nX\nHence, the correct option is (C). \nQuestion 35 \n \nConsider the IEEE-754 single precision floating point numbers P=0xC1800000 and Q=0x3F5C2EF4. \nWhich one of the following corresponds to the product of these numbers (i.e., P \u00d7 Q), represented in the \nIEEE-754 single precision format?\n[Computer Organization & Architecture, Machine Instruction & Addressing Format] \n \n(A) 0x404C2EF4 \n(B) 0x405C2EF4 \n \n(C) 0xC15C2EF4 \n(D) 0xC14C2EF4 \nAns. (C) \nSol.\n \nHere, \n0 1800000\n\uf03d\uf0b4\n\uf03d\nP\n1100 0001 1000 0000 0000 0000 0000 0000 \n \nIn IEEE-754 single precision format. \n \n( )\n \uf0ae\nS\n Sign bit \n1\n\uf03d\nBiased exponent \n131\n\uf03d\n \n \nActual exponent \n131 127\n4\n\uf03d\n\uf02d\n\uf03d\n \n \n( )\n \uf0ae\nm\n Mantissa = 0000 0000 0000 0000 0000 000\nThe number \n( 1)\n(1. ) 2\n\uf03d\uf02d\n\uf0b4\n\uf0b4\ns\ne\nm\n1\n4\n( 1)\n1.0 2\n16\n\uf03d\uf02d\n\uf0b4\n\uf0b4\n\uf03d\uf02d\nSimilarity, \n0x3F5C2EE4\nQ\n \uf03d\n\uf03d\n 0011 1111 0101 1100 0010 1110 1111 0100\nSign \n0\n\uf03d\n \n \nBiased exponent \n126\n\uf03d\n \n \nActual exponent \n126 127\n1\n\uf03d\n\uf02d\n\uf03d\uf02d\n1\n1.10111000010111011110100 2\n\uf02d\n\uf03d\n\uf0b4\nQ\nSo,\n1\n4\n*\n1.10111000010111011110100 2\n2\n\uf02d\n\uf03d\uf02d\n\uf0b4\n\uf0b4\nP Q\n\n3\n*\n1.10111000010111011110100 2\n\uf03d\uf02d\n\uf0b4\nP Q\n\nSign \n1\n\uf03d\n \n \nBiased exponent \n127\n3\n130\n10000010\n\uf03d\n\uf02b\uf03d\n\uf03d\n. \n \nThe number in IEEE-754 format is :\n1 \n1000 0010 \n1011 1000 0101 1101 1110 100\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n37\n\nMostissa\n\uf0af\nSign bit\n\uf0af\nExponent\n\uf0af\n\n0xC15C2EF4\n \n \nHence, the correct option is (C). \nQuestion 36 \n \nLet A be a priority queue for maintaining a set of elements. Suppose A is implemented using a max-heap \ndata structure. The operation Extract-Max(A) extracts and deletes the maximum element from A. The \noperation Insert(A, key) inserts a new element key in A. The properties of a max-heap are preserved at \nthe end of each of these operations. \n \nWhen A contains n elements, which one of the following statements about the worst case running time of \nthese two operations is TRUE? \n \n \n \n [Data Structure, tree] \n \n(A) Both Extract-Max(\nA\n) and Insert(\nA\n, key) run in O(\nl\n). \n \n(B) Both Extract-Max(\nA\n) and Insert(\nA\n, key) run in \nO\n(log(\nn\n)). \n \n(C) Extract-Max(\nA\n) runs in \nO\n(\nl\n) whereas Insert(\nA\n, key) runs in \nO\n(\nn\n). \n \n(D) Extract-Max(\nA\n) runs in \nO\n(\nl\n) whereas Insert(\nA\n, key) runs in \nO\n(log(\nn\n)). \nAns. (B) \nSol.\n \nSince both extract-max (A) and Insert (A) needs to perform heapify ( ) operation, both take \n0(log( ))\nn\ntime. \n \nHence, the correct option is (B). \nQuestion 37 \n \nConsider the C function foo and the binary tree shown.\n10\n5\n11\n3\n8\n13\ntype\ndef\n struct node { \n \n \nint val; \n \n \nstruct node *left, *right; \n \n} node; \n \n \n \nint \nf\noo(node *\np \n) { \n \n \nint retval; \n \n \nif (\np\n == NULL) \n \n \n \nreturn 0; \n \n \nelse { \n \n \n \nretval = p->val + foo(p->left) + \nf\noo(\np\n->right);\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n38\n\nprintf(\"%\nd\n \", retval); \n \n \n \nreturn retval; \n \n \n} \n \n} \n \nWhen foo is called with a pointer to the root node of the given binary tree, what will it print?\n[Data Structure, Tree] \n \n(A) 3 8 5 13 11 10 \n(B) 3 5 8 10 11 13 \n \n(C) 3 8 16 13 24 50 \n(D) 3 16 8 50 24 13 \nAns. (C) \nSol.\n \n:\n \nMethod 1 \n:\n \n \nGiven :\n Retval\n(\nleft)\n(\nri\nt\no\ng\noo\no\nh )\nP\nva\nP\nf\nl\nP\nf\n\uf03d\n\uf0ae\n\uf02b\n\uf0ae\n\uf02b\n\uf0ae\nNow, considering given tree with root 10. \n \nRetval\n 10\n(\nleft)\noo(\noo\nright)\nP\nf\nP\nf\n\uf03d\n\uf02b\n\uf0ae\n\uf02b\n\uf0ae\nSo, until we execute leaf node we won\u2019t get to return to root node. \n \nAlso child-Nodes 3, 8 and 13 will return value of leaf nodes, i.e. 3,8 and 13 only. \n \nSo, 5 node will return \n5\n3 8\n16\n\uf02b\uf02b\n\uf03d\n. \n \n \n11 node will return \n11 13\n24\n\uf02b\n\uf03d\n \n \n \n10 node will return \n10 16\n24\n50\n\uf02b\n\uf02b\n\uf03d\n \n \nSince there\u2019s no rule about evaluation order of parameters of \n' '\n\uf02b\n but considering/assuming left right rule \nby default we get output as : \n3,8,16,13,24,50\n.\nHence, the correct option is (C). \n \n:\n \nMethod 2 \n:\n \n \nRet val 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a/frontend/public/assets/gate/cs/questions/2023/38/data.json +++ b/frontend/public/assets/gate/cs/questions/2023/38/data.json @@ -1,11 +1,3 @@ -{ - "id": "38", - "stream": "computer-science-information-technology", - "packet": "2023", - "year": "2023", - "type": "MCQ", - "key": "(D)\n (A), (D) \nSol.\n \nThe symmetric difference is similar to EXOR operation in digital logic. \n \nNow left check it for following properties : \n \n1. \nClosure property : Operator \n\uf044\n is defined as \n \n \n(\n)\n(\n)\n\uf044\uf03d\n\uf02d\n\uf0c8\n\uf02d\nA B\nA\nB\nB\nA\n(\n)\n(\n)\n\uf03d\n\uf0c8\n\uf02d\n\uf0c7\nA\nB\nA\nB\n2\n \nX\n \n is power set of \nX\n , so it contains all subset of \nX\n .\n\nSo, \n2\n,\n2\nX\nX\nA B\nA B\n\uf044\uf0ce\n\uf022\n\uf0ce\n.\n2. \nAssociativity : It\u2019s similar to XOR operation which is associative always, followed\n3. \nIdentity : \n2\n\uf0ce\nX\nC\n is identity element.\nSo, \n\uf044\n\uf03d\n\uf044\uf03d\nA C\nC A\nA\n for \n2\n\uf0ce\nX\nC\n \n \n \n(\n)\n(\n)\n\uf044\n\uf03d\n\uf0c8\n\uf02d\n\uf0c7\n\uf03d\nA C\nA\nC\nA\nC\nA\n which is possible when \n\uf03d\uf046\nC\n.\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n42\n\nSo, identity exists. \n \n4. \nInverse : \n\uf044\n\uf03d\n\uf044\n\uf03d\uf046\nA B\nB A\nthen \n\uf044\nA B\n are inverse\n\uf066\n each option given \n,\n2\n\uf0ce\nX\nA B\n.\nSo, \n(\n)\n(\n)\n\uf0c8\n\uf02d\n\uf0c7\n\uf03d\uf046\nA\nB\nA\nB\nIt\u2019s possible \n(\n)\n(\n)\n\uf0c8\n\uf03d\n\uf0c7\nA\nB\nA\nB\nIf \n\uf03d\nA\nB\n then its possible.\nHence, every element of \n2\n \nX\n \n is it\u2019s own inverse and \nH\n is a group. \n \nHence, the correct options are (A) & (D). \nQuestion 42 \n \nSuppose in a web browser, you click on the www.gate-2023.in URL. The browser cache is empty. The IP \naddress for this URL is not cached in your local host, so a DNS lookup is triggered (by the local DNS \nserver deployed on your local host) over the 3-tier DNS hierarchy in an iterative mode. No resource \nrecords are cached anywhere across all DNS servers. \n \nLet RTT denote the round trip time between your local host and DNS servers in the DNS hierarchy. The \nround trip time between the local host and the web server hosting www.gate-2023.in is also equal to RTT. \nThe HTML file associated with the URL is small enough to have negligible transmission time and \nnegligible rendering time by your web browser, which references 10 equally small objects on the same \nweb server. \n \nWhich of the following statements is/are CORRECT about the minimum elapsed time between clicking \non the URL and your browser fully rendering it? \n \n[Computer Network & Transport Layer] \n \n(A) 7 RTTs, in case of non-persistent HTTP with 5 parallel TCP connections. \n \n(B) 5 RTTs, in case of persistent HTTP with pipelining. \n \n(C) 9 RTTs, in case of non-persistent HTTP with 5 parallel TCP connections. \n \n(D) 6 RTTs, in case of persistent HTTP with pipelining. \n (C), (D) \nSol.\n \nCase I : \n \nPersistent HTTP :\n TCP connection is established once and multiple files are transmitted in single \nconnection. \n \nPipelined :\n New HTTP request can be sent to server without receiving acknowledgement of previous. \n \na client request a page from server, following steps are followed in order before gets all data needed : \n \n(i) \nThere\u2019s 3-tier DNS hierarchy, it is done in iterative mode taking 3 RTT. \n \n(ii) 1 RTT is used for TCP connection establishment. \n \n(iii) 1 RTT is used to fetch HTML base file. \n \n(iv) 1 RTT is for all other 10 objects. \n \nSo, total 6 RTT\u2019s are used. \n \nCase-II : \nNon persistent HTTP with 5 parallel connections : \n \nNon persistent :\n TCP connection is made for each HTTP request and closed. \n \n5-parallel connections :\n 5 objects could be sent parallel at same time.\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n43\n\nSo, in this case the client have to wait for request to be fulfilled as following steps need to be completed. \n \n(i) \n3 RTT for DNS resolution. \n \n(ii) 1 RTT for TCP connection establishment. \n \n(iii) 1 RTT for fetch base HTML page. \n \n(iv) 1 RTT for TCP connection establishment. \n \n(v) \n1 RTT to get 5 objects parallely (5 still test) \n \n(vi) 1 RTT for TCP connection establishment \n \n(viii) 1 RTT for getting remaining 5 objects. \n \nIn total it takes RTT\u2019s = 9 \n \nHence, the correct options are (C) & (D). \nQuestion 43 \n \nConsider a random experiment where two fair coins are tossed. Let \nA\n be the event that denotes HEAD on \nboth the throws, \nB\n be the event that denotes HEAD on the first throw, and \nC\n be the event that denotes \nHEAD on the second throw. Which of the following statements is/are TRUE?\n[Engineering Mathematics, Probability] \n \n(A) \nA\n and \nB\n are independent. \n(B) \nA\n and \nC\n are independent. \n \n(C) \nB\n and \nC\n are independent. \n(D) \nProb( | )\nProb( )\nBC\nB\n\uf03d\n \n(C, D) \nSol.\n \nLet, \nA\n be the event that denotes HEAD on both the throws.\nLet, \nB\n be the event that denotes HEAD on the first throw.\nLet, \nC\n be the event that denotes HEAD on the second throw.\nFor, Event \nA\n (Head on both coins), only one case is feasible which is HH.\n\uf05c\n \n1\n( )\n4\nP A\n \uf03d\nFor, Event \nB\n (Head on first coins), only two cases are feasible which is HH, HT.\n\uf05c\n \n1\n( )\n2\nP B\n \uf03d\nFor, Event \nC\n (Head on second coins), only one case is feasible which is HH, TH.\n\uf05c\n \n1\n( )\n2\nP C\n \uf03d\nNOTE : \nTwo or more events are said to be independent, when the occurrence of one event does not \naffect the occurrence of other event.\nIn case of Independent Events : \n(\n)\n( ). ( )\nP A\nB\nP A P B\n\uf03d\n\nLet us check options one by one :\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n44\n\nOption A : A and B are independent.\nSo, this will be true only when \n(\n)\n( ). ( )\nP A\nB\nP A P B\n\uf03d\n\nHere \nA\nB\nwill have those cases having Head on first coin.\n1\n(\n)\n2\nP A\nB\n \uf03d\n\n1\n( )\n4\nP A\n \uf03d\n1\n( )\n2\nP B\n \uf03d\n1\n( ). ( )\n8\nP A P B\n \uf03d\nClearly, \n\uf028\n\uf029\n( ). ( )\nP A\nB\nP A P B\n\uf0b9\n. So, \nOption A is FALSE.\nOption B : \nA & C are independent.\nSo, this will be true only when \n(\n)\n( ). ( )\nP A\nC\nP A P C\n\uf0c7\n\uf03d\nHere \nA\nC\n\uf0c7\n will have those cases having Head on second coin.\n(\n)\n1/ 2\nP A\nC\n\uf0c7\n\uf03d\n1\n( )\n4\nP A\n \uf03d\n( )\n1/ 2\nP C\n \uf03d\n( ). ( )\n1/8\nP A P C\n \uf03d\nClearly, \n(\n)\n( ). ( )\nP A\nC\nP A P C\n\uf0c7\n\uf0b9\n.So, option B is False.\nOption C :\n \nB\n & \nC\n are independent\nSo, this will be true only when \n(\n)\n( ). ( )\nP B\nC\nP B P C\n\uf0c7\n\uf03d\nHere \nB\nC\n\uf0c7\n will be have those cases having head on both coin.\n(\n)\n1/ 4\nP B\nC\n\uf0c7\n\uf03d\n( )\n1/ 2\nP B\n \uf03d\n( )\n1/ 2\nP C\n \uf03d\n( ). ( )\n1/ 4\nP B P C\n \uf03d\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n45\n\nClearly, \n(\n)\n( ). ( ).\nP B\nC\nP B P C\n\uf0c7\n\uf03d\n So, option C is TRUE.\nOption D \n : \n(\n/\n)\n( )\nP B C\nP B\n\uf03d\n(\n/\n)\n(\n) /\n( )\nP B C\nP B\nC\nP C\n\uf03d\n\uf0c7\n(\n)\n1/ 4\nP B\nC\n\uf0c7\n\uf03d\n [See calculation in Option C]\n( )\n1/ 2\nP C\n \uf03d\n(B/\n)\n(1/ 4) / (1/ 2)\n2/ 4\n1/ 2\nP\nC\n \uf03d\n\uf03d\n\uf03d\n( )\n1/ 2\nP B\n \uf03d\nClearly, \n(\n/\n)\n( ).\nP B C\nP B\n\uf03d\n So option D is True\nHence, the correct options are (C) and (D).", - "question_text": "Question 38\nLet U = {1, 2,...,\nn\n}, where \nn\n is a large positive integer \nU\n with \nA\nB\nk\n\uf03d\n\uf03d\n and \nA\nB\n\uf0c7\n\uf03d\uf066\n. We say that a\npermutation of \nU\n separates \nA\n from \nB\n if one of the following is true. \n \n- All members of \nA\n appear in the permutation before any of the members of \nB\n. \n \n- All members of \nB\n appear in the permutation before any of the members of \nA\n.\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n39\n\nHow many permutations of \nU\n separate \nA\n from \nB\n? \n \n [Discrete Mathematics, Combinatorics]\nn\nn\nk\nk\n\uf0e6\n\uf0f6\n\uf02d\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n(A) \n!\nn\n \n(B) \n(\n2 )!\n2\n\nn\nn\nk\nk\nk\n\uf0e6\n\uf0f6\n\uf02d\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\nn\nn\nk\nk\nk\n\uf0e6\n\uf0f6\n\uf02d\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n2\n(\n2 )!( !)\n2\n2\n2\n(\n2 )!( !)\n2\n(C)\n(D)\n", - "answer_text": "(D)\n (A), (D) \nSol.\n \nThe symmetric difference is similar to EXOR operation in digital logic. \n \nNow left check it for following properties : \n \n1. \nClosure property : Operator \n\uf044\n is defined as \n \n \n(\n)\n(\n)\n\uf044\uf03d\n\uf02d\n\uf0c8\n\uf02d\nA B\nA\nB\nB\nA\n(\n)\n(\n)\n\uf03d\n\uf0c8\n\uf02d\n\uf0c7\nA\nB\nA\nB\n2\n \nX\n \n is power set of \nX\n , so it contains all subset of \nX\n .\n\nSo, \n2\n,\n2\nX\nX\nA B\nA B\n\uf044\uf0ce\n\uf022\n\uf0ce\n.\n2. \nAssociativity : It\u2019s similar to XOR operation which is associative always, followed\n3. \nIdentity : \n2\n\uf0ce\nX\nC\n is identity element.\nSo, \n\uf044\n\uf03d\n\uf044\uf03d\nA C\nC A\nA\n for \n2\n\uf0ce\nX\nC\n \n \n \n(\n)\n(\n)\n\uf044\n\uf03d\n\uf0c8\n\uf02d\n\uf0c7\n\uf03d\nA C\nA\nC\nA\nC\nA\n which is possible when \n\uf03d\uf046\nC\n.\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n42\n\nSo, identity exists. \n \n4. \nInverse : \n\uf044\n\uf03d\n\uf044\n\uf03d\uf046\nA B\nB A\nthen \n\uf044\nA B\n are inverse\n\uf066\n each option given \n,\n2\n\uf0ce\nX\nA B\n.\nSo, \n(\n)\n(\n)\n\uf0c8\n\uf02d\n\uf0c7\n\uf03d\uf046\nA\nB\nA\nB\nIt\u2019s possible \n(\n)\n(\n)\n\uf0c8\n\uf03d\n\uf0c7\nA\nB\nA\nB\nIf \n\uf03d\nA\nB\n then its possible.\nHence, every element of \n2\n \nX\n \n is it\u2019s own inverse and \nH\n is a group. \n \nHence, the correct options are (A) & (D). \nQuestion 42 \n \nSuppose in a web browser, you click on the www.gate-2023.in URL. The browser cache is empty. The IP \naddress for this URL is not cached in your local host, so a DNS lookup is triggered (by the local DNS \nserver deployed on your local host) over the 3-tier DNS hierarchy in an iterative mode. No resource \nrecords are cached anywhere across all DNS servers. \n \nLet RTT denote the round trip time between your local host and DNS servers in the DNS hierarchy. The \nround trip time between the local host and the web server hosting www.gate-2023.in is also equal to RTT. \nThe HTML file associated with the URL is small enough to have negligible transmission time and \nnegligible rendering time by your web browser, which references 10 equally small objects on the same \nweb server. \n \nWhich of the following statements is/are CORRECT about the minimum elapsed time between clicking \non the URL and your browser fully rendering it? \n \n[Computer Network & Transport Layer] \n \n(A) 7 RTTs, in case of non-persistent HTTP with 5 parallel TCP connections. \n \n(B) 5 RTTs, in case of persistent HTTP with pipelining. \n \n(C) 9 RTTs, in case of non-persistent HTTP with 5 parallel TCP connections. \n \n(D) 6 RTTs, in case of persistent HTTP with pipelining. \n (C), (D) \nSol.\n \nCase I : \n \nPersistent HTTP :\n TCP connection is established once and multiple files are transmitted in single \nconnection. \n \nPipelined :\n New HTTP request can be sent to server without receiving acknowledgement of previous. \n \na client request a page from server, following steps are followed in order before gets all data needed : \n \n(i) \nThere\u2019s 3-tier DNS hierarchy, it is done in iterative mode taking 3 RTT. \n \n(ii) 1 RTT is used for TCP connection establishment. \n \n(iii) 1 RTT is used to fetch HTML base file. \n \n(iv) 1 RTT is for all other 10 objects. \n \nSo, total 6 RTT\u2019s are used. \n \nCase-II : \nNon persistent HTTP with 5 parallel connections : \n \nNon persistent :\n TCP connection is made for each HTTP request and closed. \n \n5-parallel connections :\n 5 objects could be sent parallel at same time.\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n43\n\nSo, in this case the client have to wait for request to be fulfilled as following steps need to be completed. \n \n(i) \n3 RTT for DNS resolution. \n \n(ii) 1 RTT for TCP connection establishment. \n \n(iii) 1 RTT for fetch base HTML page. \n \n(iv) 1 RTT for TCP connection establishment. \n \n(v) \n1 RTT to get 5 objects parallely (5 still test) \n \n(vi) 1 RTT for TCP connection establishment \n \n(viii) 1 RTT for getting remaining 5 objects. \n \nIn total it takes RTT\u2019s = 9 \n \nHence, the correct options are (C) & (D). \nQuestion 43 \n \nConsider a random experiment where two fair coins are tossed. Let \nA\n be the event that denotes HEAD on \nboth the throws, \nB\n be the event that denotes HEAD on the first throw, and \nC\n be the event that denotes \nHEAD on the second throw. Which of the following statements is/are TRUE?\n[Engineering Mathematics, Probability] \n \n(A) \nA\n and \nB\n are independent. \n(B) \nA\n and \nC\n are independent. \n \n(C) \nB\n and \nC\n are independent. \n(D) \nProb( | )\nProb( )\nBC\nB\n\uf03d\n \n(C, D) \nSol.\n \nLet, \nA\n be the event that denotes HEAD on both the throws.\nLet, \nB\n be the event that denotes HEAD on the first throw.\nLet, \nC\n be the event that denotes HEAD on the second throw.\nFor, Event \nA\n (Head on both coins), only one case is feasible which is HH.\n\uf05c\n \n1\n( )\n4\nP A\n \uf03d\nFor, Event \nB\n (Head on first coins), only two cases are feasible which is HH, HT.\n\uf05c\n \n1\n( )\n2\nP B\n \uf03d\nFor, Event \nC\n (Head on second coins), only one case is feasible which is HH, TH.\n\uf05c\n \n1\n( )\n2\nP C\n \uf03d\nNOTE : \nTwo or more events are said to be independent, when the occurrence of one event does not \naffect the occurrence of other event.\nIn case of Independent Events : \n(\n)\n( ). ( )\nP A\nB\nP A P B\n\uf03d\n\nLet us check options one by one :\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n44\n\nOption A : A and B are independent.\nSo, this will be true only when \n(\n)\n( ). ( )\nP A\nB\nP A P B\n\uf03d\n\nHere \nA\nB\nwill have those cases having Head on first coin.\n1\n(\n)\n2\nP A\nB\n \uf03d\n\n1\n( )\n4\nP A\n \uf03d\n1\n( )\n2\nP B\n \uf03d\n1\n( ). ( )\n8\nP A P B\n \uf03d\nClearly, \n\uf028\n\uf029\n( ). ( )\nP A\nB\nP A P B\n\uf0b9\n. So, \nOption A is FALSE.\nOption B : \nA & C are independent.\nSo, this will be true only when \n(\n)\n( ). ( )\nP A\nC\nP A P C\n\uf0c7\n\uf03d\nHere \nA\nC\n\uf0c7\n will have those cases having Head on second coin.\n(\n)\n1/ 2\nP A\nC\n\uf0c7\n\uf03d\n1\n( )\n4\nP A\n \uf03d\n( )\n1/ 2\nP C\n \uf03d\n( ). ( )\n1/8\nP A P C\n \uf03d\nClearly, \n(\n)\n( ). ( )\nP A\nC\nP A P C\n\uf0c7\n\uf0b9\n.So, option B is False.\nOption C :\n \nB\n & \nC\n are independent\nSo, this will be true only when \n(\n)\n( ). ( )\nP B\nC\nP B P C\n\uf0c7\n\uf03d\nHere \nB\nC\n\uf0c7\n will be have those cases having head on both coin.\n(\n)\n1/ 4\nP B\nC\n\uf0c7\n\uf03d\n( )\n1/ 2\nP B\n \uf03d\n( )\n1/ 2\nP C\n \uf03d\n( ). ( )\n1/ 4\nP B P C\n \uf03d\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n45\n\nClearly, \n(\n)\n( ). ( ).\nP B\nC\nP B P C\n\uf0c7\n\uf03d\n So, option C is TRUE.\nOption D \n : \n(\n/\n)\n( )\nP B C\nP B\n\uf03d\n(\n/\n)\n(\n) /\n( )\nP B C\nP B\nC\nP C\n\uf03d\n\uf0c7\n(\n)\n1/ 4\nP B\nC\n\uf0c7\n\uf03d\n [See calculation in Option C]\n( )\n1/ 2\nP C\n \uf03d\n(B/\n)\n(1/ 4) / (1/ 2)\n2/ 4\n1/ 2\nP\nC\n \uf03d\n\uf03d\n\uf03d\n( )\n1/ 2\nP B\n \uf03d\nClearly, \n(\n/\n)\n( ).\nP B C\nP B\n\uf03d\n So option D is True\nHence, the correct options are (C) and (D).", - "explanation_text": "Sol.\n \n\uf07b\n\uf07d\n2\n1,2,3,4,5,6\n1000\nU\nn\nn\n\uf03d\n\uf03e\n\n,\nA\nU B\nU\n\uf0cd\n\uf0cd\n and \nA\nB\nK\n\uf03d\n\uf03d\nA\nB\n\uf0c7\n\uf03d\uf066\nCase 1 : \nIf all element of \nA\n appear before the element of \nB\n then number of permutation\n2\n(\n2 )!\n!\n!\nK\nc\nn\nn\nK\nK\nK\n\uf02a\n\uf02d\n\uf02a\n\uf02a\n\n2\n(\n2\n)! (\n!)\nK\nc\nn\nn\nK\nK\n\uf02d\n\n2\nCase 2 : \nIf all element of \nB\n appears before the elements of \nA\n then number of permutation\n2\n(\n2 )!\n!\n!\nK\nc\nn\nn\nK\nK\nK\n\uf02a\n\uf02d\n\uf02a\n\uf02a\n\n2\n(\n2\n)! (\n!)\nK\nc\nn\nn\nK\nK\n\uf02d\n\n2\nTotal permutation\nCase-1 + Case-2\n2\n2\n2\n2\n(\n2\n)! (\n!)\n(\n2\n)! (\n!)\nK\nK\nc\nc\nn\nn\nK\nK\nn\nn\nK\nK\n\uf02d\n\uf02a\n\uf02b\n\uf02d\n\uf02a\n\nn\nn\nK\nK\nK\n\uf0e6\n\uf0f6\n\uf02d\n\uf02a\n\uf0e7\n\uf0f7\n\uf0e8\n\uf0f8\n2\n2\n(\n2\n)! (\n!)\n2\n\nHence, the correct option is (D).\n \n \nQuestion 39 \n \nLet \nf\n : \nA\nB\n\uf0ae\n be an onto (or surjective) function, where \nA\n and \nB\n are nonempty sets. Define an equivalence \nrelation \n\u223c\n on the set \nA\n as \n \n2\n~\na\na\n if \n1\n2\n(\n)\n(\n)\nf a\nf a\n\uf03d\n,\nWhere \n1\n2\n,\na a\nA\n\uf0ce\n. Let \n{[ ]:\n}\nx\nx\nA\n\uf065\uf03d\n\uf0ce\n be the set of all the equivalence classes under \n\u223c\n. Define a new\nmapping \n:\nF\nB\n\uf065\uf0ae\n as \n \n(\n)\n( )\nF x\nf x\n\uf03d\n, for all the equivalence classes [\nx\n] in \n\uf065\n.\nWhich of the following statements is/are TRUE?\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n40\n\n[Discrete Mathematics & Graph theory, Set theory and Algebra] \n \n(A) \nF\n is NOT well-defined. \n(B) \nF\n is an onto (or surjective) function. \n \n(C) \nF\n is a one-to-one (or injective) function. \n(D) \nF\n is a bijective function. \nAns. (B), (C), (D) \nSol.\n \nThe equivalence relation on set \nA\n is defined as :\n1\n2\n~\na\na\n if \n1\n2\n( )\n(\n)\n\uf03d\nf a\nf a\nWhere \n1\n2\n,\na a\n \nEA\n .\nConsider \n,\n.........\ni\ni i\na bc\nEA\n and \n, ..........\n\uf061\uf02c\uf062\nr\nEB\n and the mapping \n3\na\n :\n1\n2\n3\n,\n,\n.......\n\uf0ae\uf061\n\uf0ae\uf061\n\uf0ae\uf061\n\uf0ae\uf061\nn\na\na\na\na\nSimilarity,\n1\n2\n3\n,\n,\n.......\n\uf0ae\uf062\n\uf0ae\uf062\n\uf0ae\n\uf0ae\uf062\nn\nb\nb\nb\nb\n and so on\u2026\u2026\u2026.\nAccording to equivalent, equivalent loss is :\n1\n2\n3\n[ ] [\n] [ ] .......... [\n]\n\uf03d\n\uf03d\n\uf03d\n\uf03d\nm\na\na\na\na\n1\n2\n3\n[ ] [ ] [ ]\n.......... [ ]\n\uf03d\n\uf03d\n\uf03d\n\uf03d\nn\nb\nb\nb\nb\n \u2026\u2026\u2026and so on.\nSo, set of equivalence classes under relation is :\n1\n1\n1\n{[ ],[ ],[ ]\n\uf065\uf03d\na\nb\nc\n \u2026..}\nNow, given new mapping \n\uf03d\uf065\uf0ae\nF\nB\n as : \n \n([ ])\n( )\n\uf03d\nF x\nF x\n for all \n[ ]\nx\n \n\uf065\nE\nIt means mapping will be :\n1\n1\n1\n,\n,\n\uf0ae\uf061\n\uf0ae\uf062\n\uf0ae\na\nb\nc\nr\n \u2026\u2026\u2026\u2026\u2026.and so on.\nSince, all distinct \n1\n1\n1\n, , ...............\na b c\nmaps to different element of set \nB\n . SO \nF\n is injective.\nWe\u2019ve considered \n1\n1\n1\n{ , , ......}\na b c\n as leaders of their equivalent class.\nWe can also consider \n2\n2\n2\n{ ,\n,\n......}\na b c\nAlso, its cleared from mapping of \nF\n that all the elements of set \nB\n are \n \nSo, \nF\n is subjective. \n \nSince \nF\n is both injective and subjective so \nF\n is bijective. \n \nAlso, we con observe that is well-defined function since its bijective. \n \nHence, the correct options are (B), (C), (D). \nQuestion 40 \n \nSuppose you are asked to design a new reliable byte-stream transport protocol like TCP. This protocol, \nnamed myTCP, runs over a 100 Mbps network with Round Trip Time of 150 milliseconds and the \nmaximum segment lifetime of 2 minutes. \n \nWhich of the following is/are valid lengths of the Sequence Number field in the myTCP header?\n[Computer Network, Transport Layer]\n\nGATE 2023 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n41\n\n(A) 30 bits \n(B) 32 bits \n \n(C) 34 bits \n(D) 36 bits \nAns. (B), (C) (D) \nSol.\n \nGiven bandwidth (BW) = 100 Mbps\nSo, in 1 second we can send \n6\n100 10\n\uf0b4\n bits\n3\n125 10\n\uf03d\n\uf0b4\nB\n\nIn 120 seconds\n3\n120 125 10\n\uf03d\n\uf0b4\n\uf0b4\nB\n5\n15000 10\n\uf03d\n\uf0b4\nB\nSince n lifetime of 120 seconds \n8\n15 10\n\uf0b4\n bytes are generated, so\n8\n2\nlog (15 10 )\n\uf03d\n\uf0b4\nSequence number bits\n30.48\n\uf0b3\n \n \n31\n\uf0b3\n bits \n \nHence, the correct options are (B), (C) & (D). \nQuestion 41\nLet \nX \nbe a set \n2\n \nX\n \n \nand \n \ndenote the powerset of \nX\n.\nDefine a binary operation \n\uf044\n on \n2\n \nX\n \n as follows : \n \n \n(\n)\n(\n).\nA B\nA\nB\nB\nA\n\uf044\uf03d\n\uf02d\n\uf0c8\n\uf02d\nLet \n(2 , ).\nX\nH\n \uf03d\n\uf044\n Which of the following statements about \nH\n is/are correct?\n[Discrete Mathematics Set theory & Algebra] \n \n(A) \nH\n is a group. \n \n(B) Every element in \nH\n has an inverse, but \nH\n is NOT a group. \n \n(C) For every \n2 ,\nX\nA\n\uf0ce\n the inverse of \nA\n is the complement of \nA\n.\n(D) For every \n2 ,\nX\nA\n\uf0ce\n the inverse of \nA\n is \nA\n." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:221c969ad5a9c14aea031ce5130dd24127abcff6831c8950309b6e1abe9aeb6e +size 2029 diff --git a/frontend/public/assets/gate/cs/questions/2023/38/exp.webp b/frontend/public/assets/gate/cs/questions/2023/38/exp.webp index 1e74e25e153a3a8dfaea2342cdbd99aa282db3e3..da1d5db8e6c52d57226355132a5d0875adc525fc 100644 GIT binary patch literal 130 zcmWN@Q4+%t5CG7Br*MHr7Q4u8gjHtR%9P}zr*FRAyZAd=|HwM$F*c>1Z9ZOQEVuRC zm(<^C9GuhzqPHwZjT&h~4UsY7iUx@}0U7pyy9*r10t81n1FS?Eg4g6DcrLCO59y8; Lqy1QdG1iJdvt=e% literal 111430 zcmZ6xV{~O*v;H01w$pLav28o)*tTukwmY_M+crD4_uKdVJm>t+c)#tj#u{twx$3H# z*RN_SNs5W_H39>viwY^IDR2-m{rz2s4VD8;Z45F2!KX+TCt6fUoX9Ea%mEJ8*y{Up z2V3C7?FJX;?Jy%#F|XqKE&lWEjqu8^F?Yo~Yu&H2=jOfa5cSn(?+GzEj0Z3Xz

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All links have cost of unit, the routers exchange distance \nvector routing information & converge on routing tables. After some time link Q-R fails, assume P & Q \nsend out routing update at random time, each at same average rate. The probability of routing loop form \n(Rounded off to one decimal place) between P & Q leading to count to infinity problem is_____.\nP\nQ\nR", - "answer_text": "0.5", - "explanation_text": "Sol.\nQ\n1\n-\nP\n-\n1\n\n\uf0a5\nR\n2\nQ\nR\n-\n\nThe link between the Q - R is broken, so the probability after the convergence depends on the sharing of \ninformation between nodes P and Q, if the node Q share the information first then there will be no looping, \nif node P shares the information then there will be chance of looping so the probability will be 0.5\nSo, \n1\n0.5\n2\nP\n \uf03d\n\uf03d" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:208ed84e14d62e89fe1652cf2bc24629568ce60775610eb29eb3fa1848f5448f +size 1060 diff --git a/frontend/public/assets/gate/cs/questions/2022/1/exp.webp b/frontend/public/assets/gate/cs/questions/2022/1/exp.webp index 6f27cdd4d48d281c9ac57f9b3930cc4ad404711c..a481fcc4e6e68b4fc98802e14d69af9470e6f64a 100644 GIT binary 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index 28da455..9bc53be 100644 --- a/frontend/public/assets/gate/cs/questions/2022/10/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/10/data.json @@ -1,11 +1,3 @@ -{ - "id": "10", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "0.85", - "question_text": "Question 10\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n6\n\nA code memory that has a hit rate of 0.8 has an access latency 10 ns and miss penalty 100 ns. An \noptimization is done on the cache to reduce the miss rate. However the optimization results in an increase \nof cache access latency to 15 ns, whereas the miss penalty is not affected. The minimum hit rate needed \nafter the optimization such that it should not increase the average memory access time is _____", - "answer_text": "0.85", - "explanation_text": "Sol.\nOld\nAMAT\n \n0.8(10)\n0.2(100)\n8\n20\n28.\n\uf03d\n\uf02b\n\uf03d\uf02b\n\uf03d\nLet x be the cache hit rate after optimization.\nnew\nAMAT\n \n(15) (1\n)100\n15\n100 100\n100 85\nx\nx\nx\nx\nx\n\uf03d\n\uf02b\n\uf02d\n\uf03d\n\uf02b\n\uf02d\n\uf03d\n\uf02d\nOld\nnew\nAMAT\nAMAT\n\uf0b3\n100 85\n28\nx\n\uf0ae\n\uf02d\n\uf0a3\n72\n85\nx\n\uf0ae\n\uf03d\n72/85\n0.85\nx\n\uf0ae\n\uf03d\n\uf03d" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:e8b362f8ca16fd6c9128d7ef8ed4ad3e28d40d831f69d2490b210ffac3488f40 +size 1124 diff --git a/frontend/public/assets/gate/cs/questions/2022/10/exp.webp b/frontend/public/assets/gate/cs/questions/2022/10/exp.webp index a3c5084ffb524352b095fec7d5c7a8ba85282929..31af2930f233e1e0628ad3648d1d9e4105490789 100644 GIT binary patch literal 129 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a/frontend/public/assets/gate/cs/questions/2022/11/data.json b/frontend/public/assets/gate/cs/questions/2022/11/data.json index 0076294..f0f91ad 100644 --- a/frontend/public/assets/gate/cs/questions/2022/11/data.json +++ b/frontend/public/assets/gate/cs/questions/2022/11/data.json @@ -1,11 +1,3 @@ -{ - "id": "11", - "stream": "computer-science-information-technology", - "packet": "2022", - "year": "2022", - "type": "MCQ", - "key": "A,B,C,D", - "question_text": "Question 11\nConsider 2 kB direct mapped cache, 64 Byte block size 64 kB main memory and 16 bit word size, CPU \naccess words \nP\n, \nQ\n, \nR\n and \nS\n respectively 10 times i.e. (\nP Q R S\n). Starting address of first byte of \n, ,\nP Q R\n \nand \nS\n is respectively.\n248,\n8 ,\n28 ,\n262\nP\nA\nQ\nCA A R\nC\nA S\nA\n\uf03d\n\uf03d\n\uf03d\n\uf03d\nWhich of the following is/are true (initially cache is empty)\n(A) Expect for the first time P is always a hit\n(B) S is always a hit\n(C) Q is replaced every time \nR\n is accessed\n(D) \nS\n and \nQ\n remain in the main memory after complete execution.", - "answer_text": "A,B,C,D", - "explanation_text": "Sol.\n \nCache line \n2kB\n32\n64B\n \n\uf03d\n\uf05c\n Line offset \n5bit\n\uf03d\nBits in Physical address = \n2\nlog\n (Main memory size = \n2\nlog\n (64 kB) = 16 bit)\nPhysical address format for direct mapped cache\n\nGATE 2022 \n [Forenoon Session]\nComputer Science Engineering\nPAGE\n7\n\nP.A=16 bit\nL.O\nW.O\nTag\n5bit\n6bit\nPhysical address format for main memory\n\nTag in main memory\n\uf03d\n\uf03d\nP\nA\n2\n4\n8\n1\n0\n1\n0,\n0\n0 1\n0,\n0\n1\n0\n0,\n1\n0\n0\n0\n\uf03d\n\uf03d\nQ\nC\nA\nA\n8\n1\n1\n0\n0,\n1\n0 1\n0,\n1\n0\n0\n0,\n1\n0\n1\n0\n\uf03d\n\uf03d\nR\nC\nA\n2\n8\n1\n1\n0\n0,\n0\n0 1\n0,\n1\n0\n0\n0,\n1\n0\n1\n0\n\uf03d\n\uf03d\nS\nA\n2\n6\n2\n1\n0\n1\n0,\n0\n0 1\n0,\n0\n1\n1\n0,\n0\n0\n1\n0\nTag in cache\nL.O\nW.O\n\u25cf \nP and S are in same block of memory physical address\n\u25cf \nQ and S are different block of main memory but mapped to same cache line." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:d74f0d9b03b302ef6aeddd484e8b1cd271d57ece2fe2487fa95839ee9c1f5aff +size 1740 diff --git a/frontend/public/assets/gate/cs/questions/2022/11/exp.webp b/frontend/public/assets/gate/cs/questions/2022/11/exp.webp index 3c275b944df851687e3827a7a60181f5bf23b3d5..6181970396e1a3f526678df2a9616c77fb864233 100644 GIT binary patch literal 130 zcmWN?OA^8$3;@u5Pr(H&Atiizn-YRBqtX%V!qe;9yi4Ar^_Qx1o@3Yg-sbI5#`?d0 z(#rj*$0@8Yv-FnLs0WhUjSmULmLgz0QTEv|a)<~UB1YKQMjHUVH%#P`kXRH>B_;!h NbIWL7Q5Y$}@&mrpCZqrW literal 29756 zcmV)IK)kyU5? 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(1M)\nQuestion ID : 8232513120\n\nPAGE\n22\n\nConsider a computer system with DMA support. The DMA module is transferring one 8-bit character \nin one CPU cycle from a device to memory through cycle stealing at regular intervals. Consider a 2 \nMHz processor. If 0.5% processor cycles are used for DMA, the data transfer rate of the device is \nbits per second.", - "answer_text": "80000", - "explanation_text": "Sol.\n \nCPU cycles stolen in DMA is = data transfer time/data preparation time\n\uf0f0\n \n0.5% of processor cycles are used or stolen\nprocessor speed= 2MHz\n\uf0f0\n \nCycle time = \u00bd MHz = 0.5 \n\u03bc\ns \n\uf0f0\n \nIn one sec = 1/0.5*\n10\n\u22126\n= 2 MIPS\nTime for One byte transfer =(1/2*\n10\n6\n)\nLet X is the device transfer rate\n\uf0f0\n \n0.5 = data transfer time / data preparation time \n\uf0f0\n \n0.5 = ((1/2*\n10\n6\n)/ (1/X))*100 \n\uf0f0\n \n1 MIPS (in bytes)\nDevice transfer rate is 8*\n10\n4\n bit per second." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:c87005136dfa634557e5040f874d0aa8e3070b1dfc26cdfee5d0f1b3e61cd29f +size 1171 diff --git a/frontend/public/assets/gate/cs/questions/2021-N/31/exp.webp b/frontend/public/assets/gate/cs/questions/2021-N/31/exp.webp index 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"4108", - "question_text": "Question 32. \n \n \n \n \n \n \n \n \nNAT (2M)\nQuestion ID : 8232513148\nConsider a three-level page table to translate a 39 bits virtual address to a physical address\nAs shown below:\nLevel 1 \noffset\nLevel 2 \noffset\nLevel 3 \noffset\nPage \nOffset\n9 bits\n \n9 bits \n9 bits \n12 bits\n\nThe page size is 4KB (1 KB= 2^10 bytes) and page table entry size at every level is 8 bytes. A\nProcess P is currently using 2GB (1 GB=2^30 bytes) virtual memory which is mapped to 2GB\nOf physical memory. The minimum amount of memory required for the page table of P across\nAll level is_____ KB.", - "answer_text": "4108", - "explanation_text": "Sol.\n \nGiven : \nVirtual address(VA) = 39 bits \nPage size = 4 KB \nPhysical address(PA) = 2 GB \nPage table entry size(PTE) = 8 B \nThree level pages tables with address division (9,9,9,12) : \nThree level pages tables with address division (9,9,9,12) means :\n\nPAGE\n23\n\n9 most significant bits for indexing into the level-1(outer level) , 9 bits for the level-2 index, 9 bits for \nthe level-3 index, and again 12 bits for the offset within a page. The entries of the level-1 page table \nare pointers to a level-2 page table, the entries of the level-2 page table are pointers to a level-3 page \ntable, and the entries of the level-3 page table are PTEs that contain actual frame number where our \ndesired word resides. \n9 bits for a level means 29 entries in one page table of that level. \nFor our process P : \nP is using 2 GB of its VM. The rest of its VM is unused. \n2 GB VM will have 2GB/4KB=219Pages. \nBut level 3 page table has only 29 entries, so, one page table of level 3 can point to 29 pages of VM \nonly, So, we need 210 level-3 page tables of process P. \nSo, at level-3, we have 210 page tables, So, we need 210 entries in Level-2 But level 2 page table has \nonly 29 entries, so, one page table of level 2 can only point to 29 page tables of level-3, So, we \nneed 2 level-2 page tables. \nSo, we need 1 Level-1 page table to point to level-2 page tables. \nSo, For process P, we need only 1 Level-1 page table, 2 level-2 page tables, and 210 level-3 page \ntables. \nNote that All the page tables, at every level, have same size which is 29\u00d78B=212B=4KB \n(Because every page table at every level has 29 entries and Page table entry size at every level is 8B ) \nSo, in total, we need 1+2+210 page tables (1 Level-1, 2 Level-2, 210 level-3), and each page table \nsize is 4KB \nSo, total page tables size = 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The diameter of G is defined as : \nDiam (G)\nmax\nuv\nG\n\u2200\n\u2208\n=\n {the length of shortest path between u and v}\nLet M be the Adjacency matrix of G. \nDefine a graph G\n2\n on the same set of vertices with adjacency matrix N, where\n2\nij\nij\nij\n P\n 0 where P\n1if M\n0 or\nN\n0\notherwais\nM\ne\n>\n\uf0ec\n=\n \uf0ed\n=\n>\n\n\uf0ee\nWhich one of the following statements is true? \n(A) diam(G)5&|W?4ZjLADjie1@bvmN?`m%u^QHTF91s0$kB?qK+RFL^n^Zasaj^Y6IrNKFvPmX6tnZ8L1n+T%)v*(gqGMr$m|M4L?D|} N<)mbMn+7IF>IcA;CV2n= literal 19332 zcmYJZV~{RPtOhu?ZCht-+qP}n@7SI>V_Roz+qP}n*zexETl=rODxIV|={%`=qAVpY z?kfWXq#-7(sIJIKO#n8p-@3xr>ZB0-$Akhq`-1t-E02HL{@^JiQFXiR{(C~o0*Q))#n3Mfv<% zGMhfTDWK)>E^y_S0?>TM`l(tfI#c@eSQYu~PIgZjUrx5tV+? z-owxH5)9VAD|*u&NLPBV06iaRUp|+&Tfgmqq+gHk(XH7VgTFn#KU|-$FSk<)0S3dp zaR8&Q{-4eB&uAvo&+g9Tcl^WR>+f;iOm8K??knf# z`1kh?@~!vb_BwCx*9Or0`}^DfYVkDtxVyuf=->M@`ThHG8}R3#ceb|=VEfDTGx%Bi z`}-*n0q6&`{5<{?{W`qo{r)`nlK;2){Id8Y{N6qIPsz(S=nvo5<2U6i;=}LP?*!oY 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"computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "MCQ", - "key": "(B)", - "question_text": "Question 51 \n \n \n \n \n \n \n \nMCQ (2M) \n \n \n \n \n \n \n \nQuestion ID : 823251565 \n \nConsider the two statements.\n1\nS\n : There exist random variables X and Y such that\n2\n( [\n(\n))(\n( ))]\n[\n]\n[ ]\nE X\nE X\nY\nE Y\nVar X Var Y\n\u2212\n\u2212\n>\n2\nS\n : For all random variables X and Y.\n[\n, ]\n[|\n[\n]||\n[ ]|]\nCov X Y\nE\nX\nE X\nY\nE Y\n=\n\u2212\n\u2212\nWhich one of the following choices is correct?\n(A)\n \nBoth\n1\nS\n and \n2\nS\n are true. \n(B) Both \n1\nS\n and \n2\nS\n are false.\n(C) \n1\nS\n is false, but \n2\nS\n is true. \n(D) \n1\nS\n is true, but \n2\nS\n is false.", - "answer_text": "(B)", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:c1163026d3ce73924fa8e98589659be6eddbb69aa8e0e3f2ebe95780665be94b +size 835 diff --git 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a/frontend/public/assets/gate/cs/questions/2021-M/52/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-M/52/data.json @@ -1,11 +1,3 @@ -{ - "id": "52", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "MCQ", - "key": "(C)", - "question_text": "Question 52 \n \n \n \n \n \n \n \nMCQ (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251535 \n \nConsider the following statements\n1\n \n:\nS\n Every SLR (1) parser parses is unambiguous but there are certain unambiguous grammars that are\nnot SLR (1)\n2\nS\n : For any context-free grammar, there is a parser that takes at most 0(n\n3\n) time to parse a string of\nlength n. \n \nWhich of the following option is/are correct.\n(A) \n1\nS\n is false and \n2\nS\n is false \n(B) \n1\nS\n is true and \n2\nS\n is false\n(C) \n1\nS\n is true and \n2\nS\n is true \n(D) \n1\nS\n is false and \n2\nS\n is true", - "answer_text": "(C)", - "explanation_text": "" -} \ No newline at end of file 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100644 --- a/frontend/public/assets/gate/cs/questions/2021-M/53/data.json +++ b/frontend/public/assets/gate/cs/questions/2021-M/53/data.json @@ -1,11 +1,3 @@ -{ - "id": "53", - "stream": "computer-science-information-technology", - "packet": "2021-M", - "year": "2021", - "type": "MCQ", - "key": "(A)", - "question_text": "Question 53 \n \n \n \n \n \n \n \nMCQ (1M) \n \n \n \n \n \n \n \nQuestion ID : 823251534 \n \nConsider the following statements.\n1\nS\n : The sequence of procedure calls corresponds to a preorder traversal of the activation tree.\n2\nS\n : The sequence of procedure returns corresponds to a postorder traversal of the activation tree.\nWhich one of the following options is correct?\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n33\n\n(A) \n1\nS\n is true and So is true \n(B)\n1\nS\n is true and is false\n(C)\n1\nS\n is false and is true \n(D)\n1\nS\n is false and So is false", - "answer_text": "(A)", - "explanation_text": "" -} \ No newline at 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Assume the following: \n \n\u2022 \nThe time taken for processing the data frame by the receiver is negligible. \n\u2022\n \nThe time taken for processing the acknowledgement frame by the sender is negligible. \n\u2022\n \nThe sender has infinite number of frames available for transmission. \n \n\u2022 \nThe size of the data frame is 2.000 bits and the size of the acknowledgement frame is 10 bits. \n \n\u2022 \nThe link data rate in each direction is 1 Mbps (= 10\n6\n bits per second). \n \n\u2022 \nOne way propagation delay of the link is 100 milliseconds. \nThe minimum value of the sender's window size in terms of the number of frames, (rounded to the \nnearest integer) needed to achieve a link utilization of 50% is ________. \nAns. \n 50 to 52", - "answer_text": "", - "explanation_text": "Sol. \nPropagation time (tp) = 100 ms\nSData = 2000 bits\nRData = 10 bits\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n34\n\nBW = 1 Mbps\nSender transmission time (ts) = 2000/1000000 = 2 ms\nReceiver transmission time (tr) = 10/1000000 = 0.01 ms\nSender\u2019s window size = ? for 50% link utilisation\n(N X ts)/(ts +tr + 2tp) = 0.5\n= > N X 2 /(2+0.01+2X100) = 0.5\n= > NX2/(202.01) = 0.5\n= > N = 0.5 X 202.01/2 = 50.5\nNearest integer for size of window = 51\n\n\uf076\uf076\uf076\uf076\n" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:976e15e8efb704d55475838da791fe2a7f2c4f7f872105eb0f4fdb53e2521f22 +size 1715 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/55/exp.webp b/frontend/public/assets/gate/cs/questions/2021-M/55/exp.webp index c3211b5562aa9d14d38d1738693209cd4df71801..79ae548960fe052bf8ce49892867d90962d62b8f 100644 GIT binary patch literal 130 zcmWN?OA^8$3;@tQr|1PNO;ZT;HhdCcMx|qF7oJ|<=3V^OK3-Eh&qH@>@BO?zMCbqQ zljky?Ru3-r0yBD@w58Sgy{<7A5-Nfr0YXkoWQRdK18f3;uvFTL0E!Eq$zgR!k$ev9 OYckruJgpv<&HMoKD<^#b literal 26046 zcmbq(Q?O{klI5{&+q}oNZTlYEwr$(CZQHhOyKlelnVOgMu`+xzvwo4xb^t 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maximum amount earned by cutting a rod of length n meters into one or more pieces \nof integer length and selling them. For i > 0, let p [i] denote the selling price of a rod whose length is i \nmeters. Consider the array of prices: \n \n \n \np[l] = l,p[2] = 5, p[3] = 8,p[4] = 9. p[5] = 10, p[6] = I7,p[7] = 13 \n \nWhich of the following statements is/are correct about R\n7 \n? \n \nOptions : \n \n(A) R\n7 \ncannot be achieved by a solution consisting of three picccs. \n \n(B) R\n7 \nis achieved by three different solutions. \n \n(C) R\n7\n = 19 \n \n(D) R\n7 = \n18 \nAns. \nB, D\n\nGATE 2021\n [Forenoon Session]\nComputer Science Engineering\nPAGE\n9\n", - "answer_text": "", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:2b500a139d839203f104f8edeb628414f5c158b90dad0eb30dbcfea1d77f1214 +size 992 diff --git a/frontend/public/assets/gate/cs/questions/2021-M/6/q.webp b/frontend/public/assets/gate/cs/questions/2021-M/6/q.webp index 63822f0569ca240f343e010a5fd149d2a235f611..a79b1684afbb0d78ad28ee94b47d0382cd04f0e9 100644 GIT binary patch literal 130 zcmWN?K@x)?3;@8puiyif1Pum%gGngNwACrrLto$SWiNa8w!d6G&!ey2-`jb6ls^8i zpKX-=>HA^gFC6x!uGbtWu7PC%HNprJ3DIJhcutlSk$H+Cfk2)!u@&8l2^8U?8VUky N4nuEWbAbq9_yN(OCzt>L literal 25548 zcmV)1K+V5WNk&G*V*mhGMM6+kP&gpCV*mh99|4^KDr5pD0X|VAk3}P*Ba`{9%s2%E zvA2E|ss@hzYx4D9DeR7(8Tenzk8K+}_ut3g*!|J?hu2 zSJ;R9FZ-`xf9Ai~KjnJae$#v(e_{Vu`+4vk{TKXi{_ou{fDiospdb1A#rm!NGx6)* zXT(23{)zba{kPKJ#6Dm8clXcNpX=YXKODckc#rg-=|9tcV0)eXXX|&{f3g3N|7-oL z_jBYA@87In;r!kFoA+<<|CfINzl#4K{>S~F_S^c`?`OLo;2)J95!tW%pZj0py@7p7 z`G@$=@PFbz=zo6q4fb#EKbU{rzxMo}`DgZz>Yv?zYd^w&|NH^|Dg2}RfA-Js-|4@; z|Nj4t_BZw4@xS4GqW}d z_fRF#w0hR_^y}(J0>fOJ_Kh9@L|5ItjOX+*l*~|HO!as3rrz&iG{G2Gx&k2kFKsar zqPuoQ>Z3o=niu440fzN4=}hOb8u~-Mrh~u1PgRd^`D4MDdcIlID+Jm>BAMMm75t!& zFSgm`8T2107|7#Tw@0wHp`WRrWtJuMLs!-5xeXv6!ep>i6y5KM$DiB$OmaV6^0zWi zi_G+Zk6QEz;~MM9vhChEu9}k+Rj+mqIM6u15ku#J#2yPrd#uOJYtXd==>%%th>(GP zp4p7nzNIDzbp5uS3}^Y^E{NU>r2aK+#uAlNEKT~8GQ0mIXXOS3P-VWyBqUq|v+XBm zeR{jV_!CPrD!%w}G8j2j)Oca_+gL5_{mRv*^Xvtq z)l3PfXPbr@eNNVK5ugOb^mcxXg&J`om@VM$S9pVXdGmx*x58ObHr0-JxI_1K9%l6Y zYdd85#!4SGu&fFmfX}xGNw=l#vw8i>d9r_Y~W`1!1Fa*m z{YWwiueOI+?P0!`?4M+JjdGBKOO)Jz2aK}swy#)>$YaiMl#cALwufA{pie(OFq$S}F;agOzoRHW#;|;eDBmnKn#N=e-GjPns(6n z*L~POzjF$ed2Cs2jDA`4g1HxlLc>I|YV@$Y)0XxB(a1EGU`E!*cFkI?_&}%6XCwdQ zs8p_J8eRl?gpjCAl!RYWQVCRX>wr&AArIfjkq+@bw5}o#p|WoEN=~7SQPMT8evI|k zOUTG`y)d9v8ps>F#?+qFaUS6D<{XqmYH&e|x!&}Ya%mu~M1#(khRA5g%#(fhq=Pn% z#3KQdZqf9lpUJ^F`;r7=+a4fey}06}cRk~M8#x7{U3v>&4)9>a3rUUnw zm~(}TwQ%03;$&tTfEc6G<>d*A_bhVJM5Rp1$YEks-oUV@ZHLAfSw`=sFCFe5Ov zm=1y@bNTZQu;d1`1fKpSkdwurB=^JTgq|${C%zv%C<$n&oqT2_ukC=wjsO7u{HA6W187qn1os@|BS?1i!K?*HuY_^N)mo@`ss3n@n=hGA;)2}?~ji63#W6@ z?~l2ApDXyrqL2GG1&*HmGt+aCjys4cu5w;1|1Wc$G+xd}pPU;TGmL;b)|pApPuFP2EmLNo9I3v@&c$-hJnq)mErjXxTVfan=NzAI2j5rx}i z9EJoHaZ^O$5+97grNfOw{gZ{YCJ3Pu17Q1ho$wFK_CZEuwnIMF_MYSFG>RN8{Piq> z`z7sH3-uBK0QSzx_21-@V58PI=`;#F!u{9%w`fZROmSm`NPOuX>1<`5AjyL(bU}LFQy70Zr1dLGC=T}`7*L@J;A^_(IABB62?AoG5Vn@o>4rQWF_`I`^q_z^%145U( z!@q2mhsChwUJVL9*^|gSju`}fycqyS!d~N2(-M3c$eveT=_80#8)%{*+ zU^ay>k8KC6Ql^nn1x5N0kL>|F^9<7M8E2jr-F-=sP_R8S(TiFzzoA+F+TTuE&9k4& z(;WVO(_HcO6&^G;zhlRrgWkje-uE}MzqEajT_`*av)=Z5biml_R*`)v&zq8}Qse6=Lm$9na ztLr-kLrBBy%qnkuXYp3VPb(Jo?^-OYE%DbrH(i2ecp$`f*dEPdiA~Z*>wr(QM$jV= zq=obHX!F+emd^4666u>my}_1n%Sta_Hb4>Yjho%tz|3vF6HkzT`B0%^;3aHh35r0e zW!l*hMP3kI#QxQO1Seu{3p~g$7mY^)=%vwU5F7C0-iq*vo&`LO{*@%y zKVV_XD07o}5E;5{k-Mka#1PaIp9aJs@n$BSxBs!-88irD<)`AtlULEDCu(KS=<7NqViO7x%6YCcjtaGl|WKy*MWU?nSb2T!ujOPsH zf;rWDEla)id$cG&65po=c4NxJ!7LWUH1l0p|Bl!XWKZIj;A0coaC&N4zM5Rr+95CU zm(8T_ro(q)%JHGi{-M7Y;^QHl$*0QXyV&#RDrHqCab-}Iwm)YTA{#?zt<@V3?7l~X znr+c^wujLJrP*2wPN(2}Lj$HymIlX3oI<_VC;} z?Z}>wQyTSaw@jh zOcJBV%Or2$=l4Jl=)^m<#Gq#94s2dK6g976|ALA1tx>R=U3`?Q(%ND75eWV! 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transmitted exceeds the MTU \n \n(C) The reassembly of fragments is performed only at the destination of the datagram \n \n(D) The reassembly of fragments is performed at all intermediate routers along the path from the source\nto the destination \nAns. \n(B,C)", - "answer_text": "", - "explanation_text": "Sol.\n \nOption B : TRUE\nFragmentation can indeed occurs at any router along the path if the packet size exceeds the MTU, but it \ndepends on whether the \u201cDo not fragment\u201d flag is set, the router will not fragments the packet and will \ninstead drop it, sending an ICMP \u201c Fragmentation needed\u201d message back to the source.\nOption C : TRUE\nReassembly of fragments is typically performed only at the destination of the datagram the destination is \nresponsible for putting the fragments back together to reconstruct the original packets.\nHence, the correct option is (B) and (C)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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statements is/are FALSE?\n(A) An attribute grammar is a syntax-directed definition (SDD) in which the functions in the semantic\nrules have no side effects\n(B) The attributes in a L-attributed definition cannot always be evaluated in a depth- first order\n(C) Synthesized attributes can be evaluated by a bottom-up parser as the input is parsed\n\nPAGE\n20\n\n(D) All L-attributed definitions based on LR(1) grammar can be evaluated using a bottom-up parsing\nstrategy", - "answer_text": "(B, D)", - "explanation_text": "Sol.\n \n(B) There is no fixed procedure of evaluating\n L\n \u2013 attribute in depth \u2013 First order\n(D) There is a fixed procedure which all \nL\n-attributed which al\n L\n-attributed definitional based on LR (1)\nusing bottom-up parsing.\nHence, the correct option is (B) and (D)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:213a9530e23092551d8e5ea59164ee02d307d39518927e79bdb9097bb2bf04b4 +size 1067 diff --git 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Layering and LAN Technologies)]\n \n \nWhich of the following fields of an IP header is/are always modified by any router before it forwards the \nIP packet ? \n \n(A) Source IP Address \n(B) Protocol \n \n(C) Time to Live (TTL) \n(D) Header Checksum \nAns. \n(C, D)", - "answer_text": "", - "explanation_text": "Sol.\n \n(A) Source IP remains unchanged\n(B) Protocol indicates type of data carried [TCP, UDP] and is not altered by routers.\n(C) TTL value is decremented by l by each router that forward packet.\n(D) As TTL value of IP header is changed by every router, corresponding header checksum is\nrecalculated based on the new value of TTL.\nHence, the correct option is (C) and (D)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:e12100b627b4f2823d41e1040dc006955ca136bb1830a19ed768f15624c87643 +size 901 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/32/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/32/exp.webp index 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a/frontend/public/assets/gate/cs/questions/2024-N/39/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-N/39/data.json @@ -1,11 +1,3 @@ -{ - "id": "39", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "(A)", - "question_text": "Question 39\n \n \nYou are given a set \nV\n of distinct integers. A binary search tree \nT\n is created by inserting all elements of \nV\n \none by one. starting with an empty tree. The tree \nT\n follows the convention that, at each node, all values \nstored in the left subtree of the node are smaller than the value stored at the node. You are not aware of \nthe sequence in which these values were inserted into \nT\n. and you do not have access to \nT\n.\nWhich one of the following statements is TRUE? \n \n \n[Data Structure, 5 tree]\n(A) Inorder traversal of \nT\n can be determined from \nV\n(B) Root node of \nT\n can be determined from \nV\n(C) Preorder traversal of \nT\n can be determined from \nV\n(D) Postorder traversal of \nT\n can be determined from \nV", - "answer_text": "(A)", - "explanation_text": "Sol.\n \nAs per convention given, we can derive the in order traversal of the nodes in the left root right and also \ngive the data in ascending order.\nHence, the correct option is (A)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:0d4bbb5331b8a34259f3b0e54602a2deb404166f32c74c71e81301e148ebde73 +size 1177 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/39/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/39/exp.webp index 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following context-free grammar where the start symbol is \nS\n and the set of terminals is\n\uf07b\n\uf07d\n, , ,\na b c d\n .\n|\nS\nAaAb BbBa\n\uf0ae\n|\nA\ncS\n\uf0ae\n\uf0ce\n|\nB\ndS\n\uf0ae\n\uf0ce\nThe following is a partially-filled LL(1) parsing table.\na \nb \nc \nd \n$ \nS\n \nS\nAaAb\n\uf0ae\n \nS\nBbBa\n\uf0ae\n \n(1) \n(2)\nA \nA\n\uf0ae\uf0ce\n \n(3) \nA\ncS\n\uf0ae\nB \n(4) \nB\n \uf0ae\uf0ce\n \n \nB\ndS\n\uf0ae\nWhich one of the following options represents the CORRECT combination for the numbered cells in the \nparsing table ? \n \nNote : In the options, \u201cblank\u201d denotes that the corresponding cell is empty.\n[Complier Design, 2 Parsing Technique]\n(A) \n\uf028\uf029\n\uf028\uf029\n1\n2\n(3)\n(4)\nS\nAaAb\nS\nBbBa\nA\nB\n\uf0ae\n\uf0ae\n\uf0ae\uf0ce\n\uf0ae\uf0ce\n\nPAGE\n26\n\n(B) \n\uf028\uf029\n\uf028\uf029\n1\n2\n(3)\n(4)\nS\nBbBa\nS\nAaAb\nA\nB\n\uf0ae\n\uf0ae\n\uf0ae\uf0ce\n\uf0ae\uf0ce\n(C) \n\uf028\uf029\n\uf028\uf029\n1\n2\n(3)\n(4)\nS\nAaAb\nS\nBbBa\nblank\nblank\n\uf0ae\n\uf0ae\n(D) \n\uf028\uf029\n\uf028\uf029\n1\n2\n(3)\n(4)\nS\nBbBa\nS\nAaAb\nblank\nblank\n\uf0ae\n\uf0ae", - "answer_text": "(A)\n \n(B)", - "explanation_text": "Sol.\nFirst \nFollow \n|\nS\nAaAb BbBa\n\uf0ae\n \n{ , , , }\na b c d\n \n{$, , }\na b\n \n|\nA\nCS E\n\uf0ae\n \n{ , }\nC E\n \n{ , }\na b\n \n|\nB\ndS E\n\uf0ae\n \n{ , }\nd E\n \n{ , }\na b\na \nb \nc \nd \n$\n \nS \nS\nAaAb\n\uf0ae\n \nS\nBbBa\n\uf0ae\n \n(1)\nS\nAaAb\n\uf0ae\n\uf03d\n \n(2)\nS\nBbBa\n\uf0ae\n\uf03d\n \n \nA \nA\n\uf0ae\uf0ce\n \nA\n\uf0ae\uf0ce\n(iii) \nA\nCS\n\uf0ae\n \n \n \nB \n(iv)\nB\n \uf0ae\uf0ce\n \nB\n \uf0ae\uf0ce\n \n \nB\ndS\n\uf0ae\n \n \n \nHence, the correct option is (A). \nQuestion 41\nLet \nM\n be the 5-state NFA with \n\uf0ce\uf02d\ntransitions shown in the diagram below.\nWhich one of the following regular expressions represents the language accepted by \nM\n ?\n[Theory of Computation, 1 Finite Automata]\n(A) \n\uf028\n\uf029\n\uf028\n\uf029\n00\n1 11\n\uf02a\n\uf02a\n\uf02b\n \n(B) \n\uf028\n\uf029\n\uf028\n\uf029\n\uf028\n\uf029\n0\n1 0 00\n11\n\uf02a\n\uf02a\n\uf02a\n\uf02b\n\uf02b\n(C) \n\uf028\n\uf029\n\uf028\n\uf029\n\uf028\n\uf029\n\uf028\n\uf029\n00\n1\n00\n11\n\uf02a\n\uf02a\n\uf02a\n\uf02b\n\uf02b\n \n(D) \n\uf028\n\uf029\n\uf028\n\uf029\n0\n1 11\n0 11\n\uf02a\n\uf02a\n\uf02b\n\uf02b\n\uf02b\nSol.\n \nCounter example\nFor option A : 0 1 1 is not generated.\nFor option C : 0 0 0 is not generated\nFor option D : Empty string is not generated\nHence, the correct option is (B)" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:b78d6edaef0691a7b06771440112e806dbfd0395e63557f9ef577909142ff191 +size 2748 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/40/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/40/exp.webp index fd3daff6f0670100cda4d6478726546afd6cfe56..f61d3e6aa93e0b78c263ff34a73f690c92ab3816 100644 GIT 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b/frontend/public/assets/gate/cs/questions/2024-N/42/data.json @@ -1,11 +1,3 @@ -{ - "id": "42", - "stream": "computer-science-information-technology", - "packet": "2024-N", - "year": "2024", - "type": "MCQ", - "key": "(B)", - "question_text": "Question 42\n\nPAGE\n27\n\nConsider an array \nX\n that contains \nn\n positive integers. A subarray of \nX\n is defined to be a sequence of \narray locations with consecutive indices.\nThe \nC\n code snippet given below has been written to compute the length of the longest subarray of \nX\n that \ncontains at most two distinct integers. The code has two missing expressions labelled \n\uf028\uf029\nP\n and \n\uf028\uf029\nQ\n .\nInt first = 0, second = 0, len1 = 0, len2 = 0, maxlen = 0; \n \n \nfor (int i = 0; i < n; i++) { \n \n \n if (X[i] == first) { \n \n \n len2++; len1++; \n \n } else if (X[i] == second) { \n \n \n len2++; \n \n \n \n len1 = (P) ; \n \n \n second = first ; \n \n \n} else { \n \n \n len2 = (Q) ; \n \n \n len1 = 1; second = first; \n \n \n} \n \n \nif (len2 > maxlen) { \n \n \n maxlen = len2; \n \n \n} \n \n \nFirst = X[i]; \n \n \n} \n \nWhich one of the following options gives the CORRECT missing expressions ? \n \n(Hint : At the end of the i-th iteration, the value of len1 is the length of the longest subarray ending with \nX[i] that contains all equal values, and len2 is the length of the longest subarray ending with X[i] that \ncontains at most two distinct values.) \n \n \n \n[Data Structure, 1 Array]\n(A) \n\uf028\uf029\n\uf028\uf029\n1 1\n2\n1\nP\nlen\nQ\nlen\n\uf02b\n\uf02b\n(B) \n\uf028\uf029\n\uf028\uf029\n1\n1 1\nP\nQ\nlen\n \uf02b\n(C) \n\uf028\uf029\n\uf028\uf029\n1\n2\n1\nP\nQ\nlen\n \uf02b\n(D) \n\uf028\uf029\n\uf028\uf029\n2 1\n1 1\nP\nlen\nQ\nlen\n\uf02b\n\uf02b", - "answer_text": "(B)", - "explanation_text": "Sol.\n \nIn the given program we keep track of the atmost two distinct values allowed in the subarray using the \nvariables first and second.\nThe variable first stores the latest [or the second] distinct value in the subarrary.\nWhile the variable second stores the second latest [or the first] distinct value we see in the subarray.\n\nPAGE\n28\n\nWe can try run the code\nHence, the correct option is (B)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:1d82b6cd73d87be0669d2a7aee8a82d8c1fe7cb6c0bbcbd9929e501254784d41 +size 2213 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/42/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/42/exp.webp index 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\nP\n-4; \nQ\n-1; \nR\n-3; \nS\n-2 \n(B) \nP\n-2; \nQ\n-3; \nR\n-1;\n S\n-4\n(C) \nP\n-2; \nQ\n-1; \nR\n-3; \nS\n-4 \n(D) \nP\n-4; \nQ\n-3; \nR\n-2; \nS\n-1", - "answer_text": "(B)", - "explanation_text": "Sol. \nLexical analysis \n\uf0ae\n tokens\nSyntax analysis \n\uf0ae\n parse tree\nICG \n\uf0ae\n abstract syntax tree\nCode optimizer \n\uf0ae\n Constant folding\nHence, the correct option is (B)." -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:6e8afba69a3eba3b599038a95be1b10474b46c34ebb28ddb7777c5ab23efb1cb +size 965 diff --git a/frontend/public/assets/gate/cs/questions/2024-N/21/exp.webp b/frontend/public/assets/gate/cs/questions/2024-N/21/exp.webp index ad5e2bfd5fd0e58e9f8e628b6df38eaa200d5815..fe5730a7c0a87fdfb30a79027173c70cf28b494f 100644 GIT binary patch literal 129 zcmWNHNe;sx5Ww!df)6x=Vb5^QzP_9+*}mz^t$$=41G$$b*Z=?k literal 4922 zcmV-A6UFRONk&F86952LMM6+kP&gna6953PSOA>?Dr5q006tMBkVT`SA(Ba@WHA#SF*u9)H 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- "question_text": "Question 47 \n \n \n \n[Digital Logic (Boolean Algebra)]\nConsider a Boolean expression given by \n\uf028\n\uf029\n, ,\n(3,5,6,7)\nF X Y Z\n \uf03d\uf0e5\n.\nWhich of the following statements is/are CORRECT ?\n(A) \n\uf028\n\uf029\n\uf028\n\uf029\n, ,\n0,1,2,4\nF X Y Z\n \uf03d\uf050\n(B) \n\uf028\n\uf029\n, ,\nF X Y Z\nXY\nYZ\nXZ\n\uf03d\n\uf02b\n\uf02b\n(C) \n\uf028\n\uf029\n, ,\nF X Y Z\n is independent of input \nY\n(D) \n\uf028\n\uf029\n, ,\nF X Y Z\n is independent of input \nX\n \u2019", - "answer_text": "(A,B) \nSol.\nyz\nyz\nx\n00\n01\n11\n10\n0\n1\n2\n3\n4\n5\n7\n6\n0\n0\n0\n1\n0\n1\n0\n1\n1\n1\nxz\nxy\n\n( , , )\n(0,1,2,4)\nF x y z\n \uf03d\uf070\n\uf0de\n \n( , , )\nF x y z\nxy\nxz\nyz\n\uf03d\n\uf02b\n\uf02b\nSo, \n( , , )\nF x y z\n is dependent on both \nX\n and \nY \nand \nZ\nHence, the correct option is (A) and (B).", - "explanation_text": "" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid 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zF)c%{IJ_bdV+w00G746!l!?FVJ5f90{+C1@L4%;sT0+F)KVK+`8L*2|fT4=QTR(|J zg{2g?t2AeqM7lDP#Mws52Y^y&WwpU)(geL1-!nlXI#5He4I%;*AyU((`3u&=g?OZIHdO!gYYPi8o`@kuK9M0%>LVH@^ E05!j1A^-pY diff --git a/frontend/public/assets/gate/cs/questions/2024-M/48/data.json b/frontend/public/assets/gate/cs/questions/2024-M/48/data.json index b94bd0a..d5ff4e2 100644 --- a/frontend/public/assets/gate/cs/questions/2024-M/48/data.json +++ b/frontend/public/assets/gate/cs/questions/2024-M/48/data.json @@ -1,11 +1,3 @@ -{ - "id": "48", - "stream": "computer-science-information-technology", - "packet": "2024-M", - "year": "2024", - "type": "MCQ", - "key": "(B,D)\n \n(A)\n\nPAGE\n39", - "question_text": "Question 48 \n \n \n \n \n \n[C-Programming]\n \n \nConsider the following \nC\n function definition. \n \n \nint \nf \n(int \nx\n, int \ny\n) {\n\nPAGE\n38\n\nfor (int \ni\n = 0; \ni \n< \ny\n; \ni++\n) { \n \n \n \n;\nx\nx\nx\ny\n\uf03d\n\uf02b\n\uf02b\n} \n \n \n return \nx; \n \n \n} \n \n \nWhich of the following statements is/are TRUE about the above function ?\n20\n2\n(A) If the inputs are \n20,\n10\nx\ny\n\uf03d\n\uf03d\n, then the return value is less than\n20\n2\n(B) If the inputs are \n20,\n20\nx\ny\n\uf03d\n\uf03d\n, then the return value is greater than\n10\n2\n(C) If the inputs are \n20,\n10\nx\ny\n\uf03d\n\uf03d\n, then the return value is greater than\n20\n2\n(D) If the inputs are \n10,\n20\nx\ny\n\uf03d\n\uf03d\n, then the return value is greater than", - "answer_text": "(B,D)\n \n(A)\n\nPAGE\n39", - "explanation_text": "Sol. \nLet \ni\nt\n be the value of \nx\n after finishing the i\nth\n loop. Therefore, the returned value is \n1\ny\nt\n \n\uf02d\n.\n0\n2\nt\nx\ny\n\uf03d\n\uf02b\n1\n0\n2\n2(2\n)\n4\n3\nt\nt\ny\nx\ny\ny\nx\ny\n\uf03d\n\uf02b\n\uf03d\n\uf02b\n\uf02b\n\uf03d\n\uf02b\n2\n1\n2\n2(4\n3 )\n8\n7\nt\nt\ny\nx\ny\ny\nx\ny\n\uf03d\n\uf02b\n\uf03d\n\uf02b\n\uf02b\n\uf03d\n\uf02b\n\uf028\n\uf029\n1\n1\n1\n2\n2\n1\n2\n(\n)\ni\ni\ni\ni\nt\nx\ny\nx\ny\ny\n\uf02b\n\uf02b\n\uf02b\n\uf03d\n\uf02b\n\uf02d\n\uf03d\n\uf02b\n\uf02d\nTherefore, returned value \n1\n2 (\n)\ny\ny\nt\nx\ny\ny\n\uf02d\n\uf03d\n\uf03d\n\uf02b\n\uf02d\nA.\n \nWhen \n10\n20\n9\n20,\n10\n2 (30) 10\n2\nx\ny\nt\n\uf03d\n\uf03d\n\uf0de\n\uf03d\n\uf02d\n\uf03e\uf02f\nB.\n \nWhen \n20\n20\n19\n20,\n20\n2 (40)\n20\n2\nx\ny\nt\n\uf03d\n\uf03d\n\uf0de\n\uf03d\n\uf02d\n\uf03e\nC.\n \nWhen \n10\n10\n9\n20,\n10\n2 (30) 10\n2\nx\ny\nt\n\uf03d\n\uf03d\n\uf0de\n\uf03d\n\uf02d\n\uf03c\uf02f\nD.\n \nWhen \n20\n20\n19\n10,\n20\n2 (30)\n20\n2\nx\ny\nt\n\uf03d\n\uf03d\n\uf0de\n\uf03d\n\uf02d\n\uf03e\nHence, the correct option is (B) and (D).\n \nQuestion 49\nLet A be any \nn m\n\uf0b4\n matrix, where \nm\nn\n\uf03e\n. Which of the following statements is/are TRUE about the \nsystem of linear equations \n0\nAx\n \uf03d\n ? \n \n \n[Engineering Mathematics, Linear Algebra]\n(A) There exist at least \nm n\n\uf02d\n linearly independent solutions to this system\n(B) There exist \nm n\n\uf02d\n linearly independent vectors such that every solution is a linear combination of \nthese vectors \n \n(C) There exists a non-zero solution in which at least \nm n\n\uf02d\n variables are 0\n(D) There exists a solution in which at least \nn\n variables are non-zero\nSol.\n \nOption\n \nA:\n rank \n( )\nA\nn\n\uf0a3\nSo number of free columns \n(\n)\nm\nn\n\uf0b3\n\uf02d\n and number. of linear independent solution = number of free \ncolumns\nSo this is TRUE\nOption\n \nB:\n With above explanation, there can be at least \n(\n)\nm\nn\n\uf02d\n free columns, so there are at least \n(\n)\nm\nn\n\uf02d\n LI vectors such that every solution is a linear combination of these vector given statement\nimplies exactly \n(\n)\nm\nn\n\uf02d\n LI vectors which is wrong.\nSo statement is FALSE.\nOption\n \nC:\n This statement is true only if rank \n( )\nA\nn\n\uf03c\n then we will have at least \n(\n1)\nm\nn\n\uf02d\n\uf02b\nfree columns\nSo, there exist non zero solution in which at least \n(\n)\nm\nn\n\uf02d\n variables are zero.\nSo this statement is FALSE\nOption D:\n For any solution vector \nx\n\uf02d\n\uf03d\nm n\nx\nx x\nx\nx\nx\n\uf02b\nn pivot variables\n(\n) free variables\n(\n,\n,......\n,\n,....\n)\nn\nm\n1\n2\n3\n1\n\nFor these \nn\n pivot variable to be non zero, matrix A must have rank (\nA\n) = \nn\n but if rank \n( )\nA\nn\n\uf03c\n, then \nthere will be less than \nn\n pivot variables which have non zero value.\nSo this statement is FALSE.\nHence the correct option is (A)" -} \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:3e8bec1a763526a56d90c069a15834a1e0e296089f690a71cc1b360c1e79d1b2 +size 4000 diff --git 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