Negation of $p \wedge( q \wedge \sim( p \wedge q ))$ is
Negation of $p \wedge( q \wedge \sim( p \wedge q ))$ is
- [JEE MAIN 2023]
- A
$\sim(p \vee q)$
- B
$p \vee q$
- C
$(\sim(p \wedge q)) \wedge q$
- D
$(\sim(p \wedge q)) \vee p$
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Consider the following three statements :
$P : 5$ is a prime number.
$Q : 7$ is a factor of $192$.
$R : L.C.M.$ of $5$ and $7$ is $35$.
Then the truth value of which one of the following statements is true?
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$P : 5$ is a prime number.
$Q : 7$ is a factor of $192$.
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Then the truth value of which one of the following statements is true?
- [JEE MAIN 2019]
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- [JEE MAIN 2023]