JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Analyzing +4 | -1

The statement

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

is equivalent to

View answer and explanation

Correct option: B

(\sim p) \vee(\sim q)

Option B,

(\sim p) \vee(\sim q)

, is correct because the given statement simplifies to this expression using logical equivalences.

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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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