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?
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?
If a person is known to be corrupt, he is kind | |
If a person is not known to be corrupt, he is not kind | |
If a person is kind, he is not known to be corrupt | |
If a person is not kind, he is not known to be corrupt |
Question 1 Explanation:
Question 2 |
The cardinality of the power set of { 0, 1, 2,..., 10 } is _________.
10 | |
1024 | |
2048 | |
4096 |
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?
R is symmetric and reflexive but not transitive | |
R is reflexive but not symmetric and not transitive | |
R is transitive but not reflexive and not symmetric | |
R is symmetric but not reflexive and not transitive |
Question 3 Explanation:
Question 4 |
The number of divisors of 2100 is _____ .
28 | |
34 | |
36 | |
40 |
Question 4 Explanation:
Question 5 |
The larger of the two eigenvalues of the matrix \begin{bmatrix} 4 & 5\\ 2&1 \end{bmatrix} is _______.
4 | |
6 | |
8 | |
10 |
Question 5 Explanation:
There are 5 questions to complete.