Mathematics · 2023
JEE Main · 29 January 2023, Shift 1 · Q78
If p, q and r are three propositions, then which of the following combination of truth values of p, q and r makes the logical expression {(p q) ∧((∼…
If $\displaystyle p, q$ and $\displaystyle r$ are three propositions, then which of the following combination of truth values of $\displaystyle p, q$ and $\displaystyle r$ makes the logical expression $\displaystyle \{(p \vee q) \wedge((\sim p) \vee r)\} \rightarrow((\sim q) \vee r)$ false?
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle p=F, q=T, r=F$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.