if k is a positive integer greater than 8, which of the following must be divisible by 4? Choose the most appropriate option:
A) k(-1)(k+2)(k+3)
B) k(k-1)(k+3)(k+4)
C) k(k-3)(k+2)(k+4)
D) k(k-3)(k+2)(k+3)
E) k(k+1)(k+3)(k+4)
D.   For any integer k, D is the only answer choice which will always be divisible by 4.   A product of 4 consecutive integers will always be divisible by 4. Since, none of the answer choices are a product of 4 consecutive integers, we have to ensure at least one of the integers is always a multiple of 4. The best way to do that is to ensure the answer choice isk* [(k-1)OR(k+3)] * [(k-2)OR(k+2)] * [(k-3)OR(k+1)]. (answer k(k-3)(k+2)(k+3))
<result>D</result>
if k is a positive integer greater than 8, which of the following must be divisible by 4?