MHTCET 17 Apr 2026 Shift 2 Paper

Concept:An implication $X \rightarrow Y$ is equivalent to $\sim X \vee Y$. This reduces the given pattern to a disjunction of complementary pairs, which is always true.Explanation:Let $A = (p \wedge q)$ and $B = (\sim p \vee r)$.Then the given pattern becomes $(A \rightarrow B) \vee (B \rightarrow A)$.Using $X \rightarrow Y \equiv \sim X \vee Y$, we get $(\sim A \vee B) \vee (\sim B \vee A)$.Rearranging the terms gives $(\sim A \vee A) \vee (B \vee \sim B)$.Each complementary pair $\sim A \vee A$ and $B \vee \sim B$ is always true.Therefore, the whole statement is true for all truth values of $p$, $q$, and $r$.Answer:The statement pattern is a tautology.Correct option: B.