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
Answer: (C)
Explanation:
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. If p → q, then ¬q → ¬p So from S1, elected → not corrupt and S2 is, kind → elected Therefore, kind → not corrupt