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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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Answer: Option D

Explanation:

Let the two consecutive odd integers be (2x+1) and (2x+3)

Then according to the question

⇒(2x+3)²−(2x+1)²=4x²+12x+9−4x²−4x−1

⇒8x+8

⇒8(x+1)

Hence the difference between the squares of two consecutive odd integers is always divisible by 8