If positive integer \(x\) is divisible by \(330, x\) must be divisible by which of the following?

[M7MBA]

If positive integer \(x\) is divisible by \(330, x\) must be divisible by which of the following?

I. \(\dfrac{x}{330}\)

II. \(330 - x\)

III. \(330 + x\)

A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III

Answer: A

Source: GMAT Club Tests