Consider the following statements :
$P$ : Suman is brilliant
$Q$ : Suman is rich.
$R$ : 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
Consider the following statements :
$P$ : Suman is brilliant
$Q$ : Suman is rich.
$R$ : 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
- [JEE MAIN 2015]
- A
$ \sim Q \leftrightarrow \, \sim P \vee R$
- B
$ \sim Q \leftrightarrow \, \sim P \wedge R$
- C
$ \sim Q \leftrightarrow P\, \vee \sim R$
- D
$ \sim Q \leftrightarrow P\, \wedge \sim R$
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- [JEE MAIN 2022]
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- [JEE MAIN 2023]
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