JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

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Let

p

and

q

be two Statements. Amongst the following, the Statement that is equivalent to

p \rightarrow q

View answer and explanation

Correct option: B

\sim p \vee q

Option B (

\sim p \vee q

) is correct because it is the logically equivalent form of the implication

p \rightarrow q

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p:A

q:A

\sqrt{3}

{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