2.The difference between the squares of two consecutive odd integers is always divisible by:
[A] 3
[B] 6
[C] 7
[D] 8
Answer : [D]
Explanation :
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Let the two consecutive odd integers be (2x + 1) and (2x + 3) |
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Then, (2x + 3)2 - (2x + 1)2 = (2x + 3 + 2x + 1) (2x + 3 - 2x - 1) = (4 + 4) x 2 |
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| = 8 (x + 1), which is always divisible by 8 |
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Title : Numbers Q2
Description : 2.The difference between the squares of two consecutive odd integers is always divisible by: [A] 3 [B] 6 [C] 7 [D] 8 Answer : [D] Explan...
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