JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Analyzing +4 | -1

Consider the following statements :

P : Suman is brilliant

Q: Suman is rich.

\mathrm{R}

: Suman is honest

the negation of the statement

"Suman is brilliant and dishonest if and only if suman is rich" can be equivalently expressed as :

View answer and explanation

Correct option: D

\sim \mathrm{Q} \leftrightarrow \mathrm{P} \wedge \sim \mathrm{R}

Option D (

\sim Q \leftrightarrow P \wedge \sim R

) is correct because the negation of "Suman is brilliant and dishonest if and only if Suman is rich" is equivalent to

\sim Q \leftrightarrow P \wedge \sim R

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p:A

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{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)

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