# which of the following may not be true?

If m and n are different integers both divisible by 5, then which of the following may not be true?

- m-n is divisible by 5
- mn is divisible by 2
- m+n is divisible by 10
- m
^{2}+n^{2}is divisible by 25

**Answer: (3) m + n is divisible by 10
Explanation:-**

Let m = 10 and n = 5

Then, m – n = 10 – 5

= 5, which is divisible by 5.

Their sum of square = m^{2} + n^{2} = 10^{2} + 5^{2
} = 100 + 25 = 125, which is divisible by 25

And m x n = 5 x 10 = 50

which is divisible by 2

m + n = 10 + 5 = 15

which is not divisible by 10.

Hence, Option (3) m + n is not true.