JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Analyzing +4 | -1

Which one of the following Boolean expressions is a tautology?

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Correct option: A

\left( {p \vee q} \right) \vee \left( {p \vee \sim q} \right)

Option A (

\left( {p \vee q} \right) \vee \left( {p \vee \sim q} \right)

) is correct because it simplifies to

p \vee (q \vee \sim q)

, which is always true (a tautology).

More Questions from MATHEMATICAL REASONING

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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