Question
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Answer: Option B
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Let the 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
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