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 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 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 4
The number of divisors of 2100 is _____ .
A
28
B
34
C
36
D
40
Discrete Mathematics   Combination
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




There are 5 questions to complete.

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