If m and n are positive integers and (m - n) is an even number, then (m2 - n2 ) will always be divisible by :
A. 4
B. 6
C. 8
D. 12
Answer: Option A
Solution (By Examveda Team)
Note : In such type of questions assume any values which satisfy the question condition(i) Let m = 3, n = 1
m - n = 3 - 1 = 2 (Even)
m2 - n2 = (3)2 - (1)2 = 8
(ii) Let m = 4, n = 2
m - n = 4 - 2 = 2 (Even)
m2 - n2 = 16 - 4 = 12
(iii) Let m = 5, n = 3
m - n = 5 - 3 = 2 (Even)
m2 - n2 = 25 - 9 = 16
H.C.F. of 8, 12, 16 = 4
So, the number is divisible by 4
This Question Belongs to Arithmetic Ability >> Number System
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