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m02 # 15

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m02 # 15 [#permalink] New post 03 Feb 2012, 19:41
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Is \frac{p}{q} \gt \frac{r^2}{s} ?

1. \frac{p}{q} \gt \frac{r}{s}
2. r = 1



* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

I can understand that if r=1, the answer to the question is yes. But I am not sure how r<1 would also give the same answer i.e. (C).

Please explain

Thanks
NAD
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Re: m02 # 15 [#permalink] New post 04 Feb 2012, 09:37
Expert's post
nades09 wrote:
Is \frac{p}{q} \gt \frac{r^2}{s} ?

1. \frac{p}{q} \gt \frac{r}{s}
2. r = 1



* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

I can understand that if r=1, the answer to the question is yes. But I am not sure how r<1 would also give the same answer i.e. (C).

Please explain

Thanks
NAD


Answer is indeed C. But saying that if (2) were r<=1 we would still have C is wrong.

Consider: p/q=3 and z=1 for (1)+(2). If r=1 then the answer would be YES: 3>1 but if r=-2 then the answer would be NO: 3<(-2)^2=4.

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Re: m02 # 15 [#permalink] New post 04 Feb 2012, 19:14
Thanks Bunnuel! That is exactly what I felt, if r<1 it may not hold true. But the explanation given in the answers in the m02 question set said that if r<=1 , then p/q > r^2/S should be true. Thanks again!
Re: m02 # 15   [#permalink] 04 Feb 2012, 19:14
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m02 # 15

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