Q154
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
A.
3
B.
4
AnswerC.
6
D.
7
E.
None of these
Answer: Option B
Solution
Answer: Option B
Solution:
Let the two consecutive even integers be 2n and (2n + 2). Then,(2n + 2)2 - (2n)2 = (2n + 2 + 2n) (2n + 2 - 2n)
= 2(4n + 2)
= 4(2n + 1), which is divisible by 4