JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

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Analyzing +4 | -1

If the Boolean expression

(p \wedge q)*(p \otimes q)

is a tautology, then * and

\otimes

are respectively, given by

View answer and explanation

Correct option: A

\to ,\,\, \to

Option A (

\to ,\\,\to

) is correct because it results in a tautology when substituted into the given Boolean expression.

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p:A

q:A

\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