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Consider the following two propositions: $$P1: \sim (p \to \sim q)$$ $$P2:(p \wedge \sim q) \wedge (( \sim p) \vee q)$$ If the proposition $$p \to (( \sim p) \vee q)$$ is evaluated as FALSE, then :

JEE · Math · previous-year question

  1. A.P1 is TRUE and P2 is FALSE
  2. B.P1 is FALSE and P2 is TRUE
  3. C.Both P1 and P2 are FALSE
  4. D.Both P1 and P2 are TRUE

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