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Consider the following statements:
A : Rishi is a judge.
B: Rishi is honest.
C: Rishi is not arrogant.
The negation of the statement " if Rishi is a judge and he is not arrogant, then he is honest" is

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$B \to (A \lor C)$

$(~ B) \land (A \land C)$

$B \to ((~ A) \lor (~ C))$

$B \to (A \land C)$

answer is B.

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Detailed Solution

$\begin{aligned} ~ ((A \land C) \to B) \equiv ~ (~ (A \land C) \lor B) using demorgan la w \\ \equiv (A \land C) \land (~ B) \end{aligned}$

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