jee-main 2021 Q69

jee-main · India · session2_17mar_shift1 Proof True/False Justification
If the Boolean expression $( p \Rightarrow q ) \Leftrightarrow \left( q ^ { * } ( \sim p ) \right)$ is a tautology, then the Boolean expression $p ^ { * } ( \sim q )$ is equivalent to:
(1) $q \Rightarrow p$
(2) $\sim q \Rightarrow p$
(3) $p \Rightarrow \sim q$
(4) $p \Rightarrow q$
If the Boolean expression $( p \Rightarrow q ) \Leftrightarrow \left( q ^ { * } ( \sim p ) \right)$ is a tautology, then the Boolean expression $p ^ { * } ( \sim q )$ is equivalent to:\\
(1) $q \Rightarrow p$\\
(2) $\sim q \Rightarrow p$\\
(3) $p \Rightarrow \sim q$\\
(4) $p \Rightarrow q$