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Question 50
If m and n are integers divisible by 5, which of the following is not necessarily true?
Solution
Let's say m=5k and n=5t
So m-n = 5(k-t) will be divisible by 5.
$$m^2 - n^2 = 25(k^2 - t^2)$$ will be divisible by 5.
$$m+n = 5(k+t)$$ will be divisible by 5 but not necessarily with 10.
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