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Which of the following cannot be the negation of the statement “Delhi is in India”?

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Which of the following cannot be the negation of the statement “Delhi is in India”?

(a) Delhi is not in India

(b) It is false that Delhi is in India

(c) It is false that Delhi is not in India

(d) It is not the case that Delhi is in India

I had been asked this question during a job interview.

This interesting question is from Mathematical Reasoning in division Mathematical Reasoning of Mathematics – Class 11

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Correct answer is (c) It is false that Delhi is not in India

To explain: “Delhi is not in India”, “It is false that Delhi is in India”, “It is not the case that Delhi is in India” are negations of the given statement. Negation of a statement can be formed by adding ‘it is false that’ or ‘it is not the case that’. In statement “It is false that Delhi is not in India” two negation phrases are used which is wrong so it is not the negation statement.

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