If a positive even number \(n\) is not divisible by \(3\) or \(4,\) then the product \((n + 6)(n + 8)(n + 10)\) must be divisible by which of the following?

I. 24
II. 32
III. 96

A. None
B. I only
C. II only
D. I and II only
E. I, II, and III

[spoiler]OA=E[/spoiler]

Source: Veritas Prep