If qs not equal to zero is p/q (r^2)/s ?

Question

If qs not equal to zero is p/q > (r^2)/s ?

(1) p/q > r/s

(2) r=1

OA is C but my doubt is if p/q =3/4 and r/s = 2/3 then p/q will be less than (r^2) /s=4/3. so why can't A be sufficient. Pls clarify.

Thanks,

Capricorn369 · Answer

How about if p/q =3/4 and r/s = 2/21 then p/q will be more than (r^2) /s= 4/21. Hence, A is not sufficient.
Considering A & B together ensures that r = r^2 = 1. Hence C is the answer.

premnath · Answer

Let me tell you the basic requirement of solving any DS question. In DS question we need to prove that we have found 'ONLY ONE' answer. 
It
In your case, you are correct in finding a value for which the condition is true. But, this is not the "ONLY ONE" value.

For example what about p/q= 2/3 and r/s = .5/2 ? In this case, r^2/s = 1/8. Hence, p/q >r/s

For more clarification let me put some excerpts from OG12. This will clear your doubt about the difference between Problem Solving (PS) and Data Sufficiency (DS) question.

"4. Answer the question asked.
For example, if the question asks, “What is the value of y ?” for an answer statement to be sufficient, you must be able to find one and only one value for y. Being able to determine minimum or maximum values for an answer (e.g., y = x + 2) is not sufficient, because such answers constitute a range of values rather than the specific value of y."

goodyear2013 · Answer

If qs≠0 is p/q > r^2/s?

(1) p/q > r/s
(2) r=1

OE
 (1) If p/q=2 and r=s=1 then the answer is YES but if for example p/q=2 and r=s=2 then the answer is NO. IS
(2) IS
(1)+(2) Since from (2) r=1 then the question becomes whether p/q>1/s and (1) directly answer this question. Sufficient.

Hi, are there any other ways to solve this Q, please.

Bunuel · Answer

Merging topics. Please refer to the discussion above.

Its_me_aka_ak · Answer

IMO E
see this
if p = -1, q = 3, r = -1, s = 2
then the answer to the equation in question will be NO.
BUT
if p = -1, q = 3, r = 1, s = -2 then the answer to question in equation will be YES
correct me if im wrong

If qs not equal to zero is p/q > (r^2)/s ?

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GMAT Data Sufficiency (DS) Questions

If qs not equal to zero is p/q > (r^2)/s ?

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