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Numbers

Q1:

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

A 3

B 4

C 6

D 7

ANS:B - 4

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.



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