Mathematics · 2022
JEE Main · 25 June 2022, Shift 1 · Q7
Consider the following two propositions: P1: ~(p → ~q) P2: ( p ∧ ∼ q ) ∧((∼ p ) q ) If the proposition p →((∼ p ) q ) is evaluated as FALSE, then:
Consider the following two propositions :
P1 : ~(p → ~q)
P2 : ( $\displaystyle \mathrm{p} \wedge \sim \mathrm{q}) \wedge((\sim \mathrm{p}) \vee \mathrm{q})$
If the proposition $\displaystyle \mathrm{p} \rightarrow((\sim \mathrm{p}) \vee \mathrm{q})$ is evaluated as FALSE, then :
Official answer
(3)
Both P1 and P2 are FALSE
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.