Offline paper
Mathematics · 2013
JEE Main 2013 · 2013-04-07 Offline · Q7
Consider: Statement - I: ( p ∧ ∼ q ) ∧(∼ p ∧ q ) is a fallacy. Statement - II: ( p → q ) ↔(∼ q → ∼ p ) is a tautology.
Consider :
Statement - I : $\displaystyle (\mathrm{p} \wedge \sim \mathrm{q}) \wedge(\sim \mathrm{p} \wedge \mathrm{q})$ is a fallacy.
Statement - II: $\displaystyle (\mathrm{p} \rightarrow \mathrm{q}) \leftrightarrow(\sim \mathrm{q} \rightarrow \sim \mathrm{p})$ is a tautology.
Official answer
(3)
Statement - I is true; Statement - II is true; Statement - II is not a correct explanation for Statement - I.
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.