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JEE Math Practice Question

Given the following two statements: $$\left( {{S_1}} \right):\left( {q \vee p} \right) \to \left( {p \leftrightarrow \sim q} \right)$$ is a tautology $$\left( {{S_2}} \right): \,\,\sim q \wedge \left( { \sim p \leftrightarrow q} \right)$$ is a fallacy. Then:

  1. A.both (S1) and (S2) are not correct
  2. B.only (S1) is correct
  3. C.only (S2) is correct
  4. D.both (S1) and (S2) are correct

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