If n is an integer and n^4 is divisible by 32, which of the following could be the remainder when n is divided by 32?
(A) 2
(B) 4
(C) 5
(D) 6
(E) 10
(A) 2
(B) 4
(C) 5
(D) 6
(E) 10
n^4 is divisible by 32 or n^4 is divisible by 2^5
n^4 will also be divisible by 2^8 or n will be divisible by 4
n divisible by 4 implies when n is divided by 32, only multiples of 4 will be the remainder.
In the given answer choices, 4 is the only one which satisfies the above condition.
The correct answer is B.
