The compound statement $(\mathrm{P} \vee \mathrm{Q}) \wedge(\sim \mathrm{P}) \Rightarrow \mathrm{Q}$ is equivalent to:

  • [JEE MAIN 2021]
  • A

    $P \vee Q$

  • B

    $\sim(P \Rightarrow Q) \Leftrightarrow P \wedge \sim Q$

  • C

    $P \wedge \sim Q$

  • D

    $\sim(P \Rightarrow Q)$

Similar Questions

The negative of $q\; \vee \sim (p \wedge r)$ is

The statement $( p \wedge q ) \Rightarrow( p \wedge r )$ is equivalent to.

  • [JEE MAIN 2022]

Let $p$ and $q$ be two Statements. Amongst the following, the Statement that is equivalent to $p \to q$ is

  • [AIEEE 2012]

The false statement in the following is

The contrapositive of $(p \vee q) \Rightarrow r$ is