Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 81)
81.
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
3
4
6
7
Answer: Option
Explanation:

Let the two consecutive even integers be 2n and (2n + 2). Then,

(2n + 2)2 = (2n + 2 + 2n)(2n + 2 - 2n)

     = 2(4n + 2)

     = 4(2n + 1), which is divisible by 4.

Discussion:
15 comments Page 2 of 2.

Sreemoy said:   5 years ago
-n +2>0 and 2n >4 the number of integer n satisfying.

Marthandan said:   1 decade ago
Please explain (2n+2) ^2 = (2n+2+2n) (2n+2-2n).

Balaji said:   1 decade ago
Please explain (2n+2) ^2 = (2n+2+2n) (2n+2-2n).

Kavitha said:   9 years ago
Agree @Prabhu.

a^2 - b^2 = (a + b)(a - b).

Naveen said:   1 decade ago
Here missing it should be (2n+2)^2-(2n)^2


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