Mathematics · 2023
JEE Main · 12 April 2023, Shift 1 · Q20
Among the two statements ( S 1):( p ⇒ q ) ∧( p ∧(∼ q )) is a contradiction and ( S 2):( p ∧ q ) ((∼ p ) ∧ q ) ( p ∧(∼ q )) ((∼ p ) ∧(∼ q )) is a…
Among the two statements
$\displaystyle (\mathrm{S} 1):(\mathrm{p} \Rightarrow \mathrm{q}) \wedge(\mathrm{p} \wedge(\sim \mathrm{q}))$ is a contradiction and
$\displaystyle (\mathrm{S} 2):(\mathrm{p} \wedge \mathrm{q}) \vee((\sim \mathrm{p}) \wedge \mathrm{q}) \vee(\mathrm{p} \wedge(\sim \mathrm{q})) \vee((\sim \mathrm{p}) \wedge(\sim \mathrm{q}))$ is a tautology
Official answer
From NTA’s final answer key for this paper.
(1)
both are true.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.