Which of the following  statements is $NOT$  logically equivalent to $\left( {p \to  \sim p} \right) \to \left( {p \to q} \right)$?

  • A

    $\left( {p \to p} \right) \to \left( {p \to  \sim p} \right)$

  • B

    $q \to \left( {p \to q} \right)$

  • C

    $\left( {q \to  \sim p} \right) \to \left( {q \to p} \right)$

  • D

    none of these

Similar Questions

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

Which of the following is an open statement

If $P$ and $Q$ are two statements, then which of the following compound statement is a tautology?

  • [JEE MAIN 2021]

Which of the following pairs are not logically equivalent ?

Negation of the Boolean statement $( p \vee q ) \Rightarrow((\sim r ) \vee p )$ is equivalent to

  • [JEE MAIN 2022]