JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Analyzing +4 | -1

Which of the following statement is a tautology?

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Correct option: C

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

The correct answer is C (

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

) because it simplifies to a tautology (t) due to the presence of

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

More Questions from MATHEMATICAL REASONING

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p:A

q:A

\sqrt{3}

p

q

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