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Is the product of integers m and n odd?

Since both m and n are integers, then in order their product be odd, both must be odd.

(1) m is even --> mn=even. Sufficient.

(2) n is odd --> if m is odd, then mn=odd but if m is even, then mn=even. Not sufficient.

Answer: A.
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Official Explanation

Answer: A

Statement (1) is sufficient. When multiplying an even number (m) by any integer (n), the result is always even.

Statement (2) is insufficient. If m is odd, the product mn is odd. If m is even, the product mn is even. Choice (A) is correct.
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