Which of the following Boolean expression is a tautology ?

  • [JEE MAIN 2021]
  • A

    $(p \wedge q) \vee(p \vee q)$

  • B

    $(p \wedge q) \vee(p \rightarrow q)$

  • C

    $(p \wedge q) \wedge(p \rightarrow q)$

  • D

    $( p \wedge q ) \rightarrow( p \rightarrow q )$

Similar Questions

The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to :

  • [JEE MAIN 2015]

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

  • [JEE MAIN 2021]

Let $\Delta, \nabla \in\{\wedge, \vee\}$ be such that $p \nabla q \Rightarrow(( p \nabla$q) $\nabla r$ ) is a tautology. Then (p $\nabla q ) \Delta r$ is logically equivalent to

  • [JEE MAIN 2022]

The proposition $ \sim \left( {p\,\vee \sim q} \right) \vee  \sim \left( {p\, \vee q} \right)$ is logically equivalent to

  • [JEE MAIN 2014]

The statment $ \sim \left( {p \leftrightarrow  \sim q} \right)$ is