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“Match will be played only if it is not a humid day.” The negation of this statement is?

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“Match will be played only if it is not a humid day.” The negation of this statement is?

(a) Match will be played but it is a humid day

(b) Match will be played or it  is a humid day

(c) All of the mentioned statement are correct

(d) None of the mentioned

The question was posed to me in an online interview.

Question is taken from Logics in section The Foundation: Logics and Proofs of Discrete Mathematics

1 Answer

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Correct choice is (a) Match will be played but it is a humid day

To explain I would say: Negation of P->Q is P∧~Q.

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