JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

1 of 1

Analyzing +4 | -1

For any two statements

p

and

q

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

is logically equivalent to

View answer and explanation

Correct option: B

\sim p

Option B (

\sim p

) is correct because the given expression simplifies to

\sim p

using logical equivalences.

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