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

Quantitative Aptitude (CDS) Number System

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

Let two consecutive odd integers be = 2k +1 and 2k +3, where k is any integer.

Now, (2k + 3)² - (2k + 1)² = (4k² + 9 + 12k) - (4k² + 1 + 4k)

= 8k + 8 = 8(k + 1), which is a multiple of 8

So, the difference is always divisible by 8.

The correct option is 2.

By: Munesh Kumari

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