jee-main 2022 Q67

jee-main · India · session1_26jun_shift2 Not Maths
Let $r \in ( P , q , \sim p , \sim q )$ be such that the logical statement $r \vee ( \sim p ) \Rightarrow ( p \wedge q ) \vee r$ is a tautology. Then $r$ is equal to
(1) $p$
(2) $q$
(3) $\sim p$
(4) $\sim q$
Let $r \in ( P , q , \sim p , \sim q )$ be such that the logical statement $r \vee ( \sim p ) \Rightarrow ( p \wedge q ) \vee r$ is a tautology. Then $r$ is equal to\\
(1) $p$\\
(2) $q$\\
(3) $\sim p$\\
(4) $\sim q$