Mathematics · 2020
JEE Main · 4 September 2020, Shift 1 · Q70
Given the following two statements: ( S_1):( q p ) →( p ↔ ∼ q ) is a tautology. ( S_2): ∼ q ∧(∼ p ↔ q ) is a fallacy. Then:
Given the following two statements : $\displaystyle \left(\mathrm{S}_1\right):(\mathrm{q} \vee \mathrm{p}) \rightarrow(\mathrm{p} \leftrightarrow \sim \mathrm{q})$ is a tautology. $\displaystyle \left(\mathrm{S}_2\right): \sim \mathrm{q} \wedge(\sim \mathrm{p} \leftrightarrow \mathrm{q})$ is a fallacy. Then:
Official answer
(4)
both $\displaystyle \left(\mathrm{S}_1\right)$ and $\displaystyle \left(\mathrm{S}_2\right)$ are not correct.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.