Discussion Forum



1)

The difference between the squares of two consecutive odd integers is always divisible by :


A) 3

B) 6

C) 7

D) 8

Answer:

Option D

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)
Then, (2x + 3)2 - (2x + 1)2 = (2x + 3 + 2x + 1) (2x + 3 - 2x - 1) = (4 x + 4) x 2
= 8 (x + 1), which is always divisible by 8