Let p ,q ,r be three statements such that the truth value of (p ∧q ) ( ∼q ∨r ) is F. Then the truth values of p ,q ,r are respectively.

Question

Accepted Answer

Correct answer: D. (d) JEE Main 2020 (p ∧q ) ( ∼q ∨r ) = ∼ (p ∧q ) ∨ ( ∼q ∨r ) = ( ∼p ∨ ∼q ) ∨ ( ∼q ∨r ) = ( ∼p ∨ ∼q ∨r ) ∼p ∨ ∼q ∨ris false then ∼p , ∼qand r all three must be false. ⇒pis true , q is true and r is false.

$Let p, q, r be three statements such that the truth value of (p \land q) \to (\sim q \lor r) is F. Then the truth values of p, q, r are respectively.$

Solution

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