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I had a question in one of my tests, but I don't think explanation provided was correct. Here is the question:

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I think $q$ can be greater than $p$, and in that case $r=p$. Did I interpret the question incorrectly?

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    The question states that the integers are distinct, so $p\neq r$. – 2017-01-28
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    Note that the final statement implies three of the previous ones, so if it is true, so are the others. – 2017-01-28

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