JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Statement - I - The Boolean expression

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

is equivalent to

p \vee q

Statement- II - The Boolean expression

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

is equivalent to

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

View answer and explanation

Correct option: C

Both statements are true

Option C (Both statements are true) is correct because both Boolean expressions simplify to the stated equivalences using Boolean algebra rules.

More Questions from MATHEMATICAL REASONING

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p:A

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\sqrt{3}

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p \rightarrow q

{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

q:

n

p \Leftrightarrow q