Testing Divisibility of a Positive Integer

Hard Data Sufficiency Analyzing Information

Let $x$ be a positive integer. We want to determine whether $x$ is divisible by 15.

Statement (1): $x$ is divisible by 3 and 5.

Statement (2): The sum of the digits of $x$ is 9.

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 together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

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% Correct51%