MHTCET 20 Apr 2026 Shift 2 Paper

Concept:The contrapositive of an implication $r \rightarrow s$ is $\sim s \rightarrow \sim r$.Explanation:The given statement is $\sim q \rightarrow p$.Let $r = \sim q$ and $s = p$.Then its contrapositive is $\sim s \rightarrow \sim r$.This gives $\sim p \rightarrow \sim(\sim q)$.Since $\sim(\sim q) = q$, we get $\sim p \rightarrow q$.Now convert this implication into an equivalent logical form.We know that $a \rightarrow b \equiv \sim a \vee b$.Therefore, $\sim p \rightarrow q \equiv \sim(\sim p) \vee q$.Simplifying, $\sim(\sim p) = p$.So the expression becomes $p \vee q$.Hence, the contrapositive of $\sim q \rightarrow p$ is equivalent to $p \vee q$.Answer:The correct option is Option C: $p \vee q$.