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  4. 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) ∧((∼ p) ∨ r) arrow((∼ q) ∨ r) false?

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Q. 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 $\{(p \vee q) \wedge((\sim p) \vee r)\} \rightarrow((\sim q) \vee r)$ false?

JEE MainJEE Main 2023Mathematical Reasoning

Solution:

Correct answer is (c) $p=F, q=T, r=F$

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