Determining if the Product of Two Integers is Positive

Medium Data Sufficiency Determining Sufficiency

Let $x$ and $y$ be two integers. We want to determine if the product $xy$ is a positive integer.

Statement (1): $x + y > 0$

Statement (2): $x - y < 0$

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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% Correct68%