JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Consider the following statements :

P

: Suman is brilliant

Q:

Suman is rich

R

: Suman is honest

The negation of the "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as

View answer and explanation

Correct option: C

\sim(Q \leftrightarrow(P \wedge \sim R))

Option C (

\sim(Q \leftrightarrow(P \wedge \sim R))

) is correct because it accurately represents the negation of the given statement using logical symbols.

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