JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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The Boolean expression

\sim \left( {p \Rightarrow \left( { \sim q} \right)} \right)

is equivalent to

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Correct option: A

p \wedge q

Option A (

p \wedge q

) is correct because the given Boolean expression simplifies to

p \wedge q

using logical equivalences.

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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