Q538
The difference between the square of two consecutive odd integers is always divisible by :
A.
3
B.
6
C.
7
D.
8
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
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