Mathematics · 2021
JEE Main · 26 August 2021, Shift 2 · Q75
Consider the two statements: (S1): ( p → q ) (∼ q → p ) is a tautology. (S2): ( p ∧ ∼ q ) ∧(∼ p q ) is a fallacy. Then:
Consider the two statements :
(S1) : $\displaystyle (\mathrm{p} \rightarrow \mathrm{q}) \vee(\sim \mathrm{q} \rightarrow \mathrm{p})$ is a tautology.
(S2) : $\displaystyle (\mathrm{p} \wedge \sim \mathrm{q}) \wedge(\sim \mathrm{p} \vee \mathrm{q})$ is a fallacy.
Then :
Official answer
(4)
both (S1) and (S2) are true.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.