Mathematics · 2021
JEE Main · 17 March 2021, Shift 1 · Q77
If the Boolean expression ( p ⇒ q ) ⇔( q *(∼ p )) is a tautology, then the Boolean expression p *(∼ q ) is equivalent to:
If the Boolean expression $\displaystyle (\mathrm{p} \Rightarrow \mathrm{q}) \Leftrightarrow(\mathrm{q} *(\sim \mathrm{p}))$ is a tautology, then the Boolean expression $\displaystyle \mathrm{p} *(\sim \mathrm{q})$ is equivalent to :
Official answer
(3)
$\displaystyle \mathrm{q} \Rightarrow \mathrm{p}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.