The negation of the statement $(p \vee q)^{\wedge}(q \vee(\sim r))$ is
The negation of the statement $(p \vee q)^{\wedge}(q \vee(\sim r))$ is
- [JEE MAIN 2023]
- A
$((\sim p) \vee r) \wedge(\sim q)$
- B
$((\sim p) \vee(\sim q))^{\wedge}(\sim r)$
- C
$((\sim p) \vee(\sim q)) \vee(\sim r)$
- D
$(p \vee r)^{\wedge}(\sim q)$
Similar Questions
$\sim (p \Rightarrow q) \Leftrightarrow \sim p\; \vee \sim q$ is
$\sim (p \Rightarrow q) \Leftrightarrow \sim p\; \vee \sim q$ is
The negation of the statement
''If I become a teacher, then I will open a school'', is
The negation of the statement
''If I become a teacher, then I will open a school'', is
If $p \to ( \sim p\,\, \vee \, \sim q)$ is false, then the truth values of $p$ and $q$ are respectively .
If $p \to ( \sim p\,\, \vee \, \sim q)$ is false, then the truth values of $p$ and $q$ are respectively .
- [JEE MAIN 2018]
If the inverse of the conditional statement $p \to \left( { \sim q\ \wedge \sim r} \right)$ is false, then the respective truth values of the statements $p, q$ and $r$ is
If the inverse of the conditional statement $p \to \left( { \sim q\ \wedge \sim r} \right)$ is false, then the respective truth values of the statements $p, q$ and $r$ is
The number of values of $r \in\{p, q, \sim p , \sim q \}$ for which $((p \wedge q) \Rightarrow(r \vee q)) \wedge((p \wedge r) \Rightarrow q)$ is a tautology, is:
The number of values of $r \in\{p, q, \sim p , \sim q \}$ for which $((p \wedge q) \Rightarrow(r \vee q)) \wedge((p \wedge r) \Rightarrow q)$ is a tautology, is:
- [JEE MAIN 2023]