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  Choose the correct choice:
A) None  B) I only  C) II only  D) I and II only  E) I, II, and III
n is a multiple of 2 but not a multiple of 3 or 4   Possible values of n = 10, 14, 22.....   @n=10 : (n + 6)(n + 8)(n + 10) = 16*18*20 i.e. Divisible by 24, 32 and 96 all   @n=14 : (n + 6)(n + 8)(n + 10) = 20*22*24 i.e. Divisible by 24, 32 and 96 all   @n=22 : (n + 6)(n + 8)(n + 10) = 28*30*32 i.e. Divisible by 24, 32 and 96 all   Answer: Option I, II, and III
<result>E</result>
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