Consider the two statements :

$(\mathrm{S} 1):(\mathrm{p} \rightarrow \mathrm{q}) \vee(\sim \mathrm{q} \rightarrow \mathrm{p})$ is a tautology

$(S2): (\mathrm{p} \wedge \sim \mathrm{q}) \wedge(\sim \mathrm{p} \vee \mathrm{q})$ is a fallacy.

Then :

  • [JEE MAIN 2021]
  • A

    only $(S1)$ is true.

  • B

    both $(S1)$ and $(S2)$ are false.

  • C

    both $(S1)$ and $(S2)$ are true.

  • D

    only $(S2)$ is true.

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

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