If a, b, and c are three positive integers, each greater than 1, what is the remainder when the product abc is divided

If a, b, and c are three positive integers, each greater than 1, what is the remainder when the product abc is divided by 2?

(1) If each of a, b, and c is divided by 2, the product of all three remainders is 0.

(2) If each of a, b, and c is divided by 2, the sum of all three remainders is 2.

OA D

Source: Manhattan Prep

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