Statement (∼( p Leftrightarrow ∼ q )) wedge q is :

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Mathematical Reasoning

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The statement $(\sim( p \Leftrightarrow \sim q )) \wedge q$ is :

A

a tautology

B

a contradiction

C

equivalent to ( $p \Rightarrow q ) \wedge q$

D

equivalent to $( p \Rightarrow q ) \wedge p$

(JEE MAIN-2022)

Solution

$(\sim( p \Leftrightarrow \sim q )) \wedge q \equiv( p \Leftrightarrow q ) \wedge q$

$( p \Leftrightarrow q ) \wedge q \equiv p \wedge q$

Standard 11

Mathematics

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