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JEE Math Practice Question

Let p, q, r be three logical statements. Consider the compound statements $${S_1}:(( \sim p) \vee q) \vee (( \sim p) \vee r)$$ and $${S_2}:p \to (q \vee r)$$ Then, which of the following is NOT true?

  1. A.If S2 is True, then S1 is True
  2. B.If S2 is False, then S1 is False
  3. C.If S2 is False, then S1 is True
  4. D.If S1 is False, then S2 is False

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