The following GMAT data sufficiency question tests your understanding of how to deal with remainder questions in the context of GMAT data sufficiency.

**Question 14**:

What is the remainder when the positive integer $n$ is divided by $30?$

- (1) The remainder when $n$ is divided by $15$ is $7$.
- (2) The remainder when $n$ is divided by $12$ is $4$.

- 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.
- Statements (1) and (2) TOGETHER are NOT sufficient.

**Video Explanation**

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