The Difference of the Squares of Two Consecutive

The difference of the squares of two consecutive even integers is divisible by which of the following integers?

  1. 3
  2. 4
  3. 6
  4. 7
Monis Rasool Professor Asked on 13th June 2015 in Maths.
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1 Answer(s)

Answer: (2) 4
Explanation:-

Let be the two consecutive even numbers are 4 and 6
The square of these numbers = 42 = 4 x 4 = 16   and 62 = 6 x  6 = 36
Difference between their squares = 36 – 16 = 20

Which is divisible by 4

Hence, the answer is (2) 4.

Anurag Mishra Professor Answered on 13th June 2015.
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