SAT Math

Answer: C - The difference of squares of any two consecutive odd numbers is divisible by 8. Denote consecutive odd integers with 2n-1 and 2n + 1.
(2n + 1)^2-(2n-1)^2 = 4n^2 + 4n + 1-(4n^2-4n + 1) = 4n^2 + 4n + 1-4n^2 + 4n-1 =
= 8n
Since one of the factors is 8, the whole expression is divisible by 8.