JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Understanding +4 | -1

Let

p:

I am well.

q:

I will not take rest

r

: I will not sleep properly, then

"If I am not well then I will not take rest and I will not sleep properly" is logically equivalent to

View answer and explanation

Correct option: B

\sim p \rightarrow(q \wedge r)

Option B (

\sim p \rightarrow(q \wedge r)

) is correct because it accurately translates the given English statement into a logical expression.

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