Simple question on probability

[The_Big_K]

If an integer n is to be chosen at random from the integers 1 to 96,
inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by
8?

A) 1/4
B) 3/8
C) 1/2
D) 5/8
E) 3/4

Very easy to crack, but you must explain how you achieved at the answer.

-The Big K-

[shitiz bansal]

d answer is 3/4 as we put 1 in d eq.......it becomes 6 means 6/8 which gives 3/4,hey my maths is p[oor bt m trying ,if it wud be wrong de plz xplain me ..............thanx............

[crook]

The answer has to be D, 5/8 ! Its really simple. Others, scratch your brains. I will post the answer soon.