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?

Let us represent the propositions as follows:

• $C$: The candidate is known to be corrupt

• $E$: The candidate is elected

• $K$: The candidate is kind

The given statements are:

1. $S1: C \to

eg E$

2. $S2: K \to E$

Taking the contrapositive of $S1$: $$E \to eg C$$

Applying hypothetical syllogism to $S2$ and the contrapositive of $S1$: $$(K \to E) \wedge (E \to eg C) \implies K \to eg C$$

In words, $K \to eg C$ means: *"If a person is kind, he is not known to be corrupt"* [24].

Therefore, option (C) is the correct statement.