The difference between the square of two consecutive odd integers is always divisible by :
A. 3
B. 6
C. 7
D. 8
Answer: Option D
Solution (By Examveda Team)
Let the two consecutive odd integers be (2m + 1) and (2m + 3)Then, (2m + 3)2 - (2m + 1)2
= [(2m + 3) + (2m + 1)] [(2m + 3) - (2m + 1)]
= (4m + 4) × 2
= 8m + 8
= 8(m + 1), which is always divisible by 8
This Question Belongs to Arithmetic Ability >> Number System
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