GMAT Data Sufficiency Question 14: Remainders

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

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.