The statement among the following that is a tautology is

  • [JEE MAIN 2021]
  • A

    $A \vee(A \wedge B)$

  • B

    $A \wedge(A \vee B)$

  • C

    $B \rightarrow[ A \wedge( A \rightarrow B )]$

  • D

    $[ A \wedge( A \rightarrow B )] \rightarrow B$

Similar Questions

The statement $( p \wedge q ) \Rightarrow( p \wedge r )$ is equivalent to.

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Statement $-1 :$ $\sim (p \leftrightarrow \sim q)$ is equivalent to $p\leftrightarrow q $

Statement $-2 :$ $\sim (p \leftrightarrow \sim q)$ s a tautology

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Negation of the statement $(p \vee r) \Rightarrow(q \vee r)$ is :

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If the truth value of the Boolean expression $((\mathrm{p} \vee \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r}) \wedge(\sim \mathrm{r})) \rightarrow(\mathrm{p} \wedge \mathrm{q}) \quad$ is false then the truth values of the statements $\mathrm{p}, \mathrm{q}, \mathrm{r}$ respectively can be:

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Negation of $(p \Rightarrow q) \Rightarrow(q \Rightarrow p)$ is

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