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Mathematics · 2021

JEE Main · 26 August 2021, Shift 1 · Q78

If the truth value of the Boolean expression (( p q ) ∧( q → r ) ∧(∼ r )) →( p ∧ q ) is false, then the truth values of the statements p, q, r…

If the truth value of the Boolean expression $\displaystyle ((\mathrm{p} \vee \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r}) \wedge(\sim \mathrm{r})) \rightarrow(\mathrm{p} \wedge \mathrm{q})$ is false, then the truth values of the statements p, q, r respectively can be :
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.