JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Application +4 | -1

The negation of the Boolean expression

\sim s \vee ( \sim r \wedge s)

is equivalent to

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Correct option: A

s \wedge r

Option A (

s \wedge r

) is correct because the negation simplifies to this expression using De Morgan's laws and Boolean algebra identities.

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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)

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