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 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 expressed as
- [AIEEE 2011]
- A
$\; \sim \left( {{\rm{Q}} \leftrightarrow \left( {{\rm{P}} \wedge {\rm{\;}} \sim {\rm{R}}} \right)} \right)$
- B
$ \sim {\rm{Q}} \leftrightarrow {\rm{\;}} \sim {\rm{P}} \wedge {\rm{R}}$
- C
${\rm{\;}} \sim \left( {{\rm{P}} \wedge {\rm{\;}} \sim {\rm{R}}} \right) \leftrightarrow Q$
- D
$\; \sim P \wedge \left( {{\rm{Q\;}} \leftrightarrow \sim {\rm{R}}} \right)$
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- [JEE MAIN 2022]