What is the remainder when the positive integer n is divided by the positive integer k, where k>1?
(1) n = (k+1)^3
(2) k = 5
OA is A
(1) n = (k+1)^3
(2) k = 5
OA is A
GMAX
We are looking for the remainder of n being divided by k.
1. It's useful to know that the formula for raising (a + b) to the third power:
(a + b)^3 = a^3 + 3a^2b + 3ab^2+ b^3.
This means that n will be k^3 + 3k^2 + 3k + 1. Now, you can clearly see that the remainder will be 1 here, since k^3, 3k^2 and 3k are all divisible by k.
2. is insufficient. Knowing k = 5 is not enough: we also need some info about n.
