A) (A + B) is divisible by 5.
B) (A + B) is divisible by 10.
C) (A - B) is divisible by 5.
D) \[{{A}^{2}}+{{B}^{2}}\] is divisible by 5.
Correct Answer: B
Solution :
Let the numbers be A = 5 m and \[B=5n,\,\,m,\,n\in I\]. A + B = 5(m + n) which is divisible by 5. A - B = 5(m - n) which is divisible by 5. \[{{A}^{2}}+{{B}^{2}}=25({{m}^{2}}+{{n}^{2}})\] which is divisible by 5. Let m = 2, n = 3 then A + B = 25 which is not divisible by 10.
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