6. Every year, the Grammar Olympics team competition takes place. A rule stipulates that each team must consist of as many members as there are participating teams that year. Moreover, it has been observed that the number of participating teams increases by exactly 1 each year. Denoting with $x$ the total number of people participating in the competition in 2016 and with $y$ the number of people participating in the competition in 2000, what can be stated with certainty about the value of $x-y$?
(A) that it is divisible by 32
(B) that it is a perfect square
(C) that it is a prime number
(D) that it is divisible by 101
(E) that it is odd
Problem 6. The answer is (A).

Every year, if the number of teams is $n$, the total number of participants is $n^{2}$. The number of teams increases by 1 each year. If in the year 2000 there were $N$ teams, then $y=N^{2}$ and $x=(N+16)^{2}$; therefore, $x-y=32 N+256=32(N+8)$.

(Problem proposed by G. Barbarino)