If p/q 5, is q

Question

If p/q > 5, is q < 2?

(1) q > 1
(2) -2p > 20

chix475ntu · Answer

If p/q > 5, is q<2? 1. q>1 Not sufficient. No infor about p 2. -2p>20 -p>10 p<-10 and p/q>5, so q is negative for p/q to be positive. Sufficient B

amod243 · Answer

IMO B

given that
p/q >5
=> q < p/5

stmt 1 => 1 < q < p/5
Not sufficient since we dont know the value of p

stmt 2 => -2p > 20
=> -p > 10
=> p < -10
from Q. stem q > p/5
=> q < -10/5
=> q < -2 < 2 ----- Sufficient

Hussain15 · Answer

Well, as per ur feedback, stmt 2 tells q<-2 while stmt 1 says q >1. I think its contradictory!! In GMAT its not possible.

Any thoughts??

Posted from my mobile device

bigmonkey31 · Answer

It is true that the two statements will never contradict each other. However in this case you must also consider that 'q' can have multiple ranges of values

i.e.: q>1 and q<-2. If q>1, then q=1.5, 2, 3, 4,5, etc., thus statement 1 is INSUFFICENT
but when q<-2, you have a clear and decisive answer to this yes/no DS question.

jlgdr · Answer

Hi all, I'll give this one a shot. So here we go. If p/q > 5, is q<2? Statement 1- Clearly Insuff Statament 2 - Now couple of things on inequalities First of all, p/q > 5, We can multiply both sides by 'q' only because we know that p/q is positive (since it is >5) so then p and q will both have the same sign. So we have that p>5q Second, we have -2p>20. Note that in this case since we are dividing both sides by -2, we MUST switch the inequality sign. So p<-10. Now we need to combine both statements -10>p>5q So we have that -10>5q, Hence q<2. Answer is B Happy to discuss this nice inequalities problem further Cheers J

Bunuel · Answer

If p/q > 5, is q < 2?

Notice that from p/q > 5 it follows that p and q have the same sign

(1) q > 1. If q = 2 and p = 100, then the answer is NO but if q = 1.5 and p = 100, then the answer is YES. Not sufficient.

(2) -2p > 20. Reduce by -2 and flip the sign: p < -10. So, we have that p is negative, thus q is negative too --> q = negative < 2. Sufficient.

Technically answer should be B, as statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

But even though formal answer to the question is B, this is not a realistic GMAT question, as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other. But the statements above contradict each other:
From (1) we have that q is positive and from (2) we have that q is negative. The statements clearly contradict each other.

So, the question is flawed. You won't see such a question on the test.

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If p/q > 5, is q < 2?

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If p/q > 5, is q < 2?

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