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Which of the following numbers always divides the difference between the squares of two consecutive odd integers?

A) 7
B) 3
C) 8
D) 6

Correct Answer:



C) 8

Description for Correct answer:
Let the two consecutive odd numbers be

(2x + 1) and (2x + 3).

Difference = \( \Large (2x+3)^{2}-(2x+1)^{2} \)

= (2x+3+2x+1)(2x+3-2x-1)

= \( \Large (4x+4)\times 2 \)=8(x+1),

which is exactly divisible by 8.

Part of solved Number System questions and answers : >> Aptitude >> Number System

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