If m and p are positive integers and m^2+p^2<100, what is the greatest possible value of mp?

A) 36

B) 42

C) 48

D) 49

E) 51

My original guess was D) 49 straight away, since 7 squared + 7 squared is 98 and 7*7 is the maximum possible value for integers below 10.

However, I started thinking, if both m and p are the same, why would they assign different variables for it?

Is it possible, that the GMAT Test Writers assign different variables to the same numbers in such a problem?

Looking forward to your answer!

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