JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Analyzing +4 | -1

The negation of the Boolean expression

(( \sim q) \wedge p) \Rightarrow (( \sim p) \vee q)

is logically equivalent to:

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Correct option: C

\sim (p \Rightarrow q)

Option C (

\sim (p \Rightarrow q)

) is correct because the negation of the given Boolean expression is logically equivalent to the negation of

p \Rightarrow q

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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

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p \Leftrightarrow q