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JEE Math Practice Question

For the statements p and q, consider the following compound statements : (a) $$( \sim q \wedge (p \to q)) \to \sim p$$ (b) $$((p \vee q) \wedge \sim p) \to q$$ Then which of the following statements is correct?

  1. A.(b) is a tautology but not (a).
  2. B.(a) and (b) both are not tautologies.
  3. C.(a) and (b) both are tautologies.
  4. D.(a) is a tautology but not (b).

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