If q is an integer greater than 6, which of the following must be divisible by 3? Select
A) Q(Q+1)(Q-4) B) N(N+2)(N-1) C) N(N+3)(N-5) D) N(N+4)(N-2) E) N(N+5)(N-6)
Now take Q = 3k , Q = 3k+1 Q = 3k+2..put in all the choices. If by putting all the values of Q we get it is divisible by 3, then it is correct answer choice.   A is correct. It will hardy take 10 sec per choice as we have to consider only 3k+1 and 3k+2.
<result>A</result>
If q is an integer greater than 6, which of the following must be divisible by 3?