Explanation

This question takes some time to define a terminating decimal and asks us whether such a decimal is. Let's look at the statements, separately first.

Statement (1) tells us that n is a number such as 200 or 210. Meanwhile, m could be any positive integer, such as 3. We get a terminating decimal from , but not from , which will have a repeating 3. Therefore, the possible cases include conflicting possible answers, and Statement (1) is insufficient.

Statement (2) tells us that m is 5. Meanwhile, we know nothing about n, except that it's a positive integer. If n=10, then , and we have a terminating decimal. If n=3, then . That, too, is a terminating decimal. No matter what n is, when divided by m it will be an integer or end in .2, .4, .6, or .8. Therefore, will also be a terminating decimal. We can answer definitively, so Statement (2) is sufficient.

The correct answer is (B).