What is the remainder when x is divided by 15 ?
I. x is a multiple of 3.
II. x is a multiple of 5.

Options

A. If statement (I) alone is sufficient to answer the question.
B. If statement (II) alone is sufficient to answer the question.
C. If either (I) or (II) alone is sufficient to answer the question.
D. If both statements (I) and (II) taken together are sufficient to answer the question.

Answer

D

Explanation

In this question statement I alone is not sufficient to answer. Some multiples of 3, such as 30, are divisible by 15 but others, such as 21, are not.
Similarly, statement II alone is not sufficient to answer the question. Some multiples of 5, such as 45, are divisible by 15, but others, such as 40, are not For together they imply that I is a multiple of `3xx 5 = 15`. Therefore, the correct answer choice is (d).