If T is an integer greater than 6, which of the following must be divisible by 3? Choose the correct choice:
A) T(T+1)T-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 T = 3k , T = 3k+1 T = 3k+2..put in all the choices. If by putting all the values of T 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 T is an integer greater than 6, which of the following must be divisible by 3?