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1. The difference of the squares of two consecutive odd integers is divisible by which of the following integers ?





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  • By: guest on 01 Jun 2017 05.46 pm
    Let the two consecutive odd integers be (2n + 1) and (2n + 3). Then, (2n + 3)2 - (2n + 1)2 = (2n + 3 + 2n + 1) (2n + 3 - 2n - 1)      = (4n + 4) x 2      = 8(n + 1), which is divisible by 8.
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