Mathematics · 2021
JEE Main · 24 February 2021, Shift 2 · Q77
For the statements p and q, consider the following compound statements: (a) (∼ q ∧( p → q )) → ∼ p (b) (( p q ) ∧ ∼ p ) → q Then which of the…
For the statements p and q, consider the following compound statements :
(a)
$\displaystyle (\sim \mathrm{q} \wedge(\mathrm{p} \rightarrow \mathrm{q})) \rightarrow \sim \mathrm{p}$
(b)
$\displaystyle ((\mathrm{p} \vee \mathrm{q}) \wedge \sim \mathrm{p}) \rightarrow \mathrm{q}$
Then which of the following statements is correct ?
Official answer
(3)
(a) and (b) both are tautologies.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.