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GMAT Problem Solving (PS) | Re: If n is the remainder when 250 is divided by 3 and m is the remainder

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Bunuel wrote:

If n is the remainder when 2^50 is divided by 3 and m is the remainder when 2^15 is divided by 5, what is m + n?

A. 6
B. 5
C. 4
D. 3
E. 2


\(\frac{2^4}{3}\) = Remainder 1
So,\(2^{50} = 2^{4*12}*2^2\)

Now,\(\frac{2^2}{3}\) = Remainder 1

So, m =1

\(\frac{2^4}{5}\) = Remainder 1
So,\(2^{15} = 2^{4*3}*2^3\)

\(\frac{2^3}{5}\) = Remainder 3

So, n = 3

Hence,\(m + n = 1 + 3 = 4\)

Hence, Correct answer will be (C) 4
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