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
$(( P \wedge(\sim R )) \wedge Q ) \vee((\sim Q ) \wedge((\sim P ) \vee R ))$
Similar Questions
Consider the following three statements :
$(A)$ If $3+3=7$ then $4+3=8$.
$(B)$ If $5+3=8$ then earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true then $5+6=17$. Then, which of the following statements is correct?
Consider the following three statements :
$(A)$ If $3+3=7$ then $4+3=8$.
$(B)$ If $5+3=8$ then earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true then $5+6=17$. Then, which of the following statements is correct?
- [JEE MAIN 2021]
The negation of the expression $q \vee((\sim q) \wedge p)$ is equivalent to
The negation of the expression $q \vee((\sim q) \wedge p)$ is equivalent to
- [JEE MAIN 2023]
If the truth value of the statement $(P \wedge(\sim R)) \rightarrow((\sim R) \wedge Q)$ is $F$, then the truth value of which of the following is $F$ ?
If the truth value of the statement $(P \wedge(\sim R)) \rightarrow((\sim R) \wedge Q)$ is $F$, then the truth value of which of the following is $F$ ?
- [JEE MAIN 2022]
The statement $( p \wedge q ) \Rightarrow( p \wedge r )$ is equivalent to.
The statement $( p \wedge q ) \Rightarrow( p \wedge r )$ is equivalent to.
- [JEE MAIN 2022]
Which of the following is a tautology?
Which of the following is a tautology?
- [JEE MAIN 2020]