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MGMAT CAT - Exponents

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MGMAT CAT - Exponents

by okigbo » Fri Feb 26, 2010 11:49 pm
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
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Source: — Data Sufficiency |
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by ajith » Sat Feb 27, 2010 1:44 am
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
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