The contrapositive of $(p \vee q) \Rightarrow r$ is

$\sim {r} \Rightarrow({p} \vee {q})$

${p} \Rightarrow({q} \vee {r})$

JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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The contrapositive of

(p \vee q) \Rightarrow r

View answer and explanation

Correct option: C

\sim {r} \Rightarrow \sim {p} \wedge \sim {q}

Option C (

\sim {r} \Rightarrow \sim {p} \wedge \sim {q}

) is correct because it represents the contrapositive of the given implication.

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p:A

q:A

\sqrt{3}

p

q

p \rightarrow q

{F_1}(A,\,B,\,C) = \left( {A \wedge \sim B} \right) \vee \left[ { \sim C \wedge \left( {A \vee B} \right)} \right] \vee \sim A

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

p

n

q:

n

p \Leftrightarrow q