# GATE CSE 2015 SET-2

 Question 1
Consider the following two statements.

S1: If a candidate is known to be corrupt, then he will not be elected
S2: If a candidate is kind, he will be elected

Which one of the following statements follows from S1 and S2 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
Discrete Mathematics   Propositional Logic
Question 1 Explanation:
 Question 2
The cardinality of the power set of { 0, 1, 2,..., 10 } is _________.
 A 10 B 1024 C 2048 D 4096
Discrete Mathematics   Set Theory
Question 2 Explanation:

 Question 3
Let R be the relation on the set of positive integers such that aRb if and only if a and b are distinct and have a common divisor other than 1. Which one of the following statements about R is true?
 A R is symmetric and reflexive but not transitive B R is reflexive but not symmetric and not transitive C R is transitive but not reflexive and not symmetric D R is symmetric but not reflexive and not transitive
Discrete Mathematics   Relation
Question 3 Explanation:
 Question 4
The number of divisors of 2100 is _____ .
 A 28 B 34 C 36 D 40
Discrete Mathematics   Combination
Question 4 Explanation:
 Question 5
The larger of the two eigenvalues of the matrix $\begin{bmatrix} 4 & 5\\ 2&1 \end{bmatrix}$ is _______.
 A 4 B 6 C 8 D 10
Engineering Mathematics   Linear Algebra
Question 5 Explanation:

There are 5 questions to complete.