Let $p$ and $q$ be two Statements. Amongst the following, the Statement that is equivalent to $p \to q$ is

  • [AIEEE 2012]
  • A

    $p \wedge  \sim q$

  • B

    $ \sim p \vee q$

  • C

    $ \sim p \wedge q$

  • D

    $p \vee  \sim q$

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Negation of “Ram is in Class $X$ or Rashmi is in Class $XII$” is

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Which of the following statement is true

Which statement given below is tautology ?

  • [JEE MAIN 2023]

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.