Quantitative Aptitude Ques 401

Question: The difference of the squares of two consecutive odd integers is divisible by which of the following integers?

Options:

A) 3

B) 6

C) 7

D) 8

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the two consecutive odd integers be $ (2n+3) $ and $ (2n+1). $ Then, $ {{(2n+3)}^{2}}-{{(2n+1)}^{2}} $ $ =(4n^{2}+9+12n)-(4n^{2}+1+4n) $ $ =8+8n=8,(1+n) $ Clearly, the number is divisible by 8.
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