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Exponent DS

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sharok50
 Post subject: Exponent DS
 Post Posted: Tue Apr 20, 2010 1:13 pm 
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Students


Posts: 22
Source: self made

Q. If p^3 X q^2 =200,is q=5?

1.q is positive integer
2.?????????????

As we prime factorize 200=2^3 X 5^2
So q=5 of q=-5

i think St. 1 is sufficient as it is eliminating q=-5 and confirming that q=5

Please correct me if i am wrong.

Thanks in advance
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perwinsharma
 Post subject: Re: Exponent DS
 Post Posted: Wed Apr 21, 2010 2:07 am 
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Students


Posts: 1
Statement 1 is not sufficient as we have 2 values -5 and 5 and we cannot eliminate any of them as both numbers when squared would give u a positive value
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jnelson0612
 Post subject: Re: Exponent DS
 Post Posted: Fri Nov 26, 2010 11:48 am 
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ManhattanGMAT Staff


Posts: 1857
sharok50 wrote:
Source: self made

Q. If p^3 X q^2 =200,is q=5?

1.q is positive integer
2.?????????????

As we prime factorize 200=2^3 X 5^2
So q=5 of q=-5

i think St. 1 is sufficient as it is eliminating q=-5 and confirming that q=5

Please correct me if i am wrong.

Thanks in advance


I don't think 1 is sufficient. My reasoning is that unless we know that p is also a positive integer, we could make p practically anything. For example, I could say that q is 10 and p is the cube root of 2, for example, which would fit both your statement and the information included in the question. I would have to know that both p and q are integers to be able to narrow down the possibilities.

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Jamie Nelson
ManhattanGMAT Instructor
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