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Data Sufficiency (DS) | If r and q are integers, what is the value of (5^r)(3^(q+1))?

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The question can be rephrased:
(5^r)(3^q + 1) = (5^r)(3)(3^q)
= 3(5^r)(3^q)
The question then is really asking us to find a value of (5^r)(3^q).

(1) SUFFICIENT: This gives us the value of (5^r)(3^q).

(2) INSUFFICIENT: With r + q = 6, there are an infinite number of possibilities for the values of r and q. Each set of values would yield a very different value for (5^r)(3^q).

The correct answer is A.

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