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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