SAT Math Multiple Choice Practice Question 533: Answer and Explanation

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Question: 533

11. If x and y are both integers, and xy ≠ 0, which of the following MUST be true of |xy| ?

A. It is greater than zero.
B. It is less than zero.
C. It is an even number.
D. It is an odd number.
E. It is a prime number.

Correct Answer: A

Explanation:

A If both x and y are integers, it doesn't matter if they are positive or negative, odd or even; when the absolute value of their product is taken, by definition, it will be positive. (None of the other answer choices need necessarily be true, although C, D, and E could be.)

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