The Statement that is $TRUE$ among the following is

  • [AIEEE 2012]
  • A

    The contrapositive of $3x + 2 = 8 \Rightarrow x = 2$ is $x\ne 2$ $\Rightarrow 3x + 2\ne 8.$

  • B

    The converse of $tan\,x\,=0\,\Rightarrow  x = 0$ is $x\ne 0\,\Rightarrow tan\,x = 0.$

  • C

    $p \Rightarrow  q$ is equivalent to $p\, \vee \, \sim \,q.$

  • D

    $p \vee q$ and $p\, \wedge \,q$ have the same truth table.

Similar Questions

$\left(p^{\wedge} r\right) \Leftrightarrow\left(p^{\wedge}(\sim q)\right)$ is equivalent to $(\sim p)$ when $r$ is.

  • [JEE MAIN 2022]

Which of the following is a statement

Which of the following is a tautology?

  • [JEE MAIN 2020]

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

  • [JEE MAIN 2021]

The statement $p → (p \leftrightarrow  q)$ is logically equivalent to :-