Data Sufficiency

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

(1) (5^r)(3^q) = 729

(2) r + q = 6



My question relates to statement 1. If you didn't see that the 3^(q+1) is actually 3(3^q), looking at statement 1, where 729=3^6, that would be insufficient right?

(5^r)(3^q) = 3^6
This means that q=6. Does it mean that r=0 or we don't have enough info to determine r?

Thanks

okigbo wrote:If r and q are integers, what is the value of (5^r)(3^(q+1))?

(1) (5^r)(3^q) = 729

(2) r + q = 6



My question relates to statement 1. If you didn't see that the 3^(q+1) is actually 3(3^q), looking at statement 1, where 729=3^6, that would be insufficient right?

(5^r)(3^q) = 3^6
This means that q=6. Does it mean that r=0 or we don't have enough info to determine r?

Thanks

You are absolutely right

It does mean r=0

(5^r)(3^q) = 3^6*5^0

comparing the exponents

r=0 and q=6

In that way, A is sufficient to answer the question