If n is the product of 3 consecutive integers, which of the following must be true about n?
I. n is a multiple of 2
II. n is a multiple of 3
III. n is a multiple of 4 Choose the correct choice from the following choices:
A) I only
B) II only
C) III only
D) I and II
E) II and III
n is the product of 3 consecutive integers.   So, according to the rule, n must be divisible by 3, 2 and 1   So, we already know that statements I and II must be true.   Do we need to check statement III? No.   Notice that NONE of the answer choices include all 3 statements. Since we've already concluded that statements I and II are true, the correct answer is I and II.
<result>D</result>
If n is the product of 3 consecutive integers, which of the following must be true about n?
I. n is a multiple of 2
II. n is a multiple of 3
III. n is a multiple of 4