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GATE 2015 : Computer Science and Information Technology (Set 2)

12 pages, 56 questions, 14 questions with responses, 16 total responses,

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GATE 2015 SET-2 COMPUTER CS Q. 1 Q. 25 carry one mark each. Q.1 Consider the following two statements. 1: If a candidate is known to be corrupt, then he will not be elected 2: If a candidate is kind, he will be elected Which one of the following statements follows from 1 and 2 as per sound inference rules of logic? (A) If a person is known to be corrupt, he is kind (B) If a person is not known to be corrupt, he is not kind (C) If a person is kind, he is not known to be corrupt (D) If a person is not kind, he is not known to be corrupt Q.2 The cardinality of the power set of { 0, 1, 2, , 10 } is _________. Q.3 Let be the relation on the set of positive integers such that if and only if and are distinct and have a common divisor other than 1. Which one of the following statements about is true? (A) (B) (C) (D) Q.4 is symmetric and reflexive but not transitive is reflexive but not symmetric and not transitive is transitive but not reflexive and not symmetric is symmetric but not reflexive and not transitive The number of divisors of 2100 is _____ . 4 5 is _______. 2 1 Q.5 The larger of the two eigenvalues of the matrix Q.6 An unordered list contains n distinct elements. The number of comparisons to find an element in this list that is neither maximum nor minimum is (A) (n log n) (B) (n) (C) (log n) (D) (1) Q.7 The minimum number of JK flip-flops required to construct a synchronous counter with the count sequence (0,0,1,1,2,2,3,3,0,0, ) is __________ . Q.8 Assume that for a certain processor, a read request takes 50 nanoseconds on a cache miss and 5 nanoseconds on a cache hit. Suppose while running a program, it was observed that 80% of the processor's read requests result in a cache hit. The average read access time in nanoseconds is __________. CS 1/12

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