Negation of $(p \Rightarrow q) \Rightarrow(q \Rightarrow p)$ is

  • [JEE MAIN 2023]
  • A

    $(\sim p) \vee q$

  • B

    $(\sim q) \wedge p$

  • C

    $q \wedge(\sim p )$

  • D

    $p \vee(\sim q )$

Similar Questions

Consider the following statements:

$P$ : I have fever

$Q:$ I will not take medicine

$R$ : I will take rest

The statement "If I have fever, then I will take medicine and I will take rest" is equivalent to:

  • [JEE MAIN 2023]

Which statement given below is tautology ?

  • [JEE MAIN 2023]

$(p\rightarrow q) \leftrightarrow (q \vee  ~ p)$ is

Negation of $p \wedge (\sim q \vee \sim r)$ is -

Which of the following is not a statement