The number of choices of $\Delta \in\{\wedge, \vee, \Rightarrow, \Leftrightarrow\}$, such that $( p \Delta q ) \Rightarrow(( p \Delta \sim q ) \vee((\sim p ) \Delta q ))$ is a tautology, is

  • [JEE MAIN 2022]
  • A

    $1$

  • B

    $2$

  • C

    $3$

  • D

    $4$

Similar Questions

If $p \Rightarrow (q \vee r)$ is false, then the truth values of $p, q, r$ are respectively

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]

The statement $p \rightarrow  (q \rightarrow p)$  is equivalent to

  • [AIEEE 2008]

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

Which of the following statement is a tautology?