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?

  1. m-n is divisible by 5
  2. mn is divisible by 2
  3. m+n is divisible by 10
  4. m2+n2 is divisible by 25
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1 Answer(s)

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 = m2 + n2 = 102 + 52
 = 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.

Anurag Mishra Professor Answered on 3rd June 2015.
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