JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

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Let

p, q, r

be the following:

p

: Rohit is healthy

q

: Rohit is wealthy

r

: Rohit is wise.

The statement

p \vee q \rightarrow \sim r

means

View answer and explanation

Correct option: A

If Rohit is healthy or wealthy then Rohit is not wise

Option A (If Rohit is healthy or wealthy then Rohit is not wise) is correct because

p \vee q

represents "Rohit is healthy or wealthy" and

\sim r

represents "Rohit is not wise", so

p \vee q \rightarrow \sim r

means "If Rohit is healthy or wealthy, then Rohit is not wise".

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