If b is an integer greater than 6, which of the following must be divisible by 3? Choose the correct choice from the following choices.
A) b (b+3) (b-5)  B) b (b+2) (b-1)  C) b (b+1) (b-4)  D) b (b+4) (b-2)  E) b (b+5) (b-6)
anything in the form of (b-1) (b) (b+1) is divisible by 3. in other word, a product of any 3 consecutive intevers is divisible by 3.   b (b+1) (b-4) = b (b+1) ((b-1)-3) is equivalant to (b-1) (b) (b+1)   b (b+2) (b-1) is equivalant to (b+1) missing.   b (b+3) (b-5) is equivalant to (b-1) missing and b repeating.   b (b+4) (b-2) is equivalant to odd/even consqcutive integers   b (b+5) (b-6) is equivalant to (b+1) missing and b repeating.   Answer : b (b+1) (b-4)
<result>C</result>
If b is an integer greater than 6, which of the following must be divisible by 3?