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The negation of the proposition “If 2 is prime, then 3 is odd” is(A) If 2 is not prime, then 3 is not odd. (B) 2 is prime and 3 is not odd. (C) 2 is not prime and 3 is odd. (D) If 2 is not prime then 3 is odd. |
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Answer» Correct option: (B) 2 is prime and 3 is not odd. Let p : 2 is prime, q : 3 is odd ∴ Symbolic form p → q ∴ ~(p → q) ≡ p ∧ ~q i.e., 2 is prime and 3 is not odd. |
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