Consider the following statements:
$P :$ Ramu is intelligent
$Q $: Ramu is rich
$R:$ Ramu is not honest
The negation of the statement "Ramu is intelligent and honest if and only if Ramu is not rich" can be expressed as.
Consider the following statements:
$P :$ Ramu is intelligent
$Q $: Ramu is rich
$R:$ Ramu is not honest
The negation of the statement "Ramu is intelligent and honest if and only if Ramu is not rich" can be expressed as.
- [JEE MAIN 2022]
- A
$(( P \wedge(\sim R )) \wedge Q ) \wedge((\sim Q ) \wedge((\sim P ) \vee R ))$
- B
$(( P \wedge R ) \wedge Q ) \vee((\sim Q ) \wedge((\sim P ) \vee(\sim R )))$
- C
$(( P \wedge R ) \wedge Q ) \wedge((\sim Q ) \wedge((\sim P ) \vee(\sim R )))$
- D
$(( P \wedge(\sim R )) \wedge Q ) \vee((\sim Q ) \wedge((\sim P ) \vee R ))$
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$(A)$ If $3+3=7$ then $4+3=8$.
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$(A)$ If $3+3=7$ then $4+3=8$.
$(B)$ If $5+3=8$ then earth is flat.
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- [JEE MAIN 2021]
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- [JEE MAIN 2014]