m02 # 15

Question

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

Bunuel · Answer

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.

nades09 · Answer

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!

m02 # 15

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