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CAT 1997 | Question: 120

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If $m$ and $n$ are integers divisible by $5$, which of the following is not necessarily true?

  1. $m–n$ is divisible $5$.
  2. $m^{2}-n^{2}$ is divisible by $25$.
  3. $m+n$ is divisible by $10$
  4. None of the above.

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Let m =10, n = 5 then m + n = 15 which is not divisible by 10. Hence, option C is not necessarily true
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