Even Product of Two Integers

Medium Data Sufficiency Analyzing Information

Let $x$ and $y$ be two positive integers. We want to determine whether the product $xy$ is even.

Statement (1): $x$ is an odd integer.

Statement (2): $y$ is an even integer.

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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% Correct92%