JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Analyzing +4 | -1

The number of values of

r \in\{p, q, \sim p, \sim q\}

for which

((p \wedge q) \Rightarrow(r \vee q)) \wedge((p \wedge r) \Rightarrow q)

is a tautology, is

View answer and explanation

Correct option: C

The correct answer is 2 because only two values of r (

\sim p

and q) make the given expression a tautology.

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{F_2}(A,\,B) = \left( {A \vee B} \right) \vee (B \to \, \sim \,A)

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