JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Analyzing +4 | -1

The compound statement

(P \vee Q) \wedge ( \sim P) \Rightarrow Q

is equivalent to

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Correct option: D

\sim \left( {P \Rightarrow Q} \right) \Leftrightarrow P \wedge \sim Q

Option D (

\sim \left( {P \Rightarrow Q} \right) \Leftrightarrow P \wedge \sim Q

) is correct because it represents a tautology, meaning the statement is always true regardless of the truth values of P and Q.

More Questions from MATHEMATICAL REASONING

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p:A

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{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

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n

p \Leftrightarrow q