GMAT Data Sufficiency Question 27: Remainders

 
The following GMAT data sufficiency question tests your understanding of dealing with remainder questions and their formulation in the context of data sufficiency.

Question 27:

Is the positive integer $n$ divisible by $15$ ?

1. (1) When $n$ is divided by $10$ the remainder is $5$.
2. (2) When $n$ is divided by $6$ the remainder is $3$.

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.