JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

1 of 1

Analyzing +4 | -1

Which of the following Boolean expression is not a tautology?

View answer and explanation

Correct option: D

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

Option D (

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

) is not a tautology because its truth value depends on the values of p and q, and it is not always true.

More Questions from MATHEMATICAL REASONING

Practice All Chapter MCQs →

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