Negation of the Boolean expression $p \Leftrightarrow( q \Rightarrow p )$ is.

  • [JEE MAIN 2022]
  • A

    $(\sim p ) \wedge q$

  • B

    $p \wedge(\sim q )$

  • C

    $(\sim p) \vee(\sim q)$

  • D

    $(\sim p) \wedge(\sim q)$

Similar Questions

Which of the following is logically equivalent to $\sim(\sim p \Rightarrow q)$

The converse of the statement "If $p < q$, then $p -x < q -x"$ is -

Statement $-1$ : $ \sim \left( {p \leftrightarrow \, \sim q} \right)$ is equivalent to $p \leftrightarrow q$

Statement $-2$ : $ \sim \left( {p \leftrightarrow \, \sim q} \right)$ is a tautology.

Which of the following statements is a tautology?

  • [JEE MAIN 2020]

$\sim (p \wedge q)$ is equal to .....