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Number System Questions

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  • Numerical Ability - Number System
Question
The difference of the squares of two consecutive odd integers is divisible by which of the following integers?
  • A) 3
  • B) 6
  • C) 7
  • D) 8
  • E) None of  These
Solution

Answer (D): 8

Explanation:

Let the two consecutive odd integers be (2n + 1) and (2n + 3). Then,

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

     = (4n + 4) x 2

     = 8(n + 1), which is divisible by 8.

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