if b is a positive integer greater than 8, which of the following must be divisible by 4? Choose the most appropriate option:
A) b(b-1)(b+2)(b+3) B) b(b-1)(b+3)(b+4) C) b(b-3)(b+2)(b+4) D) b(b-3)(b+2)(b+3) E) b(b+1)(b+3)(b+4)
D.   For any integer b, 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 isb* [(b-1)OR(b+3)] * [(b-2)OR(b+2)] * [(b-3)OR(b+1)]. (answer b(b-3)(b+2)(b+3))
<result>D</result>
if b is a positive integer greater than 8, which of the following must be divisible by 4?