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22 Feb 2012, 03:01
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
56% (01:34) correct
44%
(01:42)
wrong
based on 358
sessions
History
Date
Time
Result
Not Attempted Yet
If R = P/Q, is R ≤ P?
(1) P > 50
(2) 0 < Q ≤ 20
(1) P > 50
(2) 0 < Q ≤ 20
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
22 Feb 2012, 03:18
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If R=P/Q, is R≤P?
We don't need R at all, so substitute it. The question becomes is \(\frac{P}{Q}\leq{P}\)? Notice that we can not reduce both sides by P since we don't know the sign of it, thus don't know whether we should flip the sign of the inequality when reducing.
(1) P>50 --> P is positive - reduce by it. The question becomes is \(\frac{1}{Q}\leq{1}\)? --> is \(Q<0\) or \(Q\geq{1}\)? We don't know that. Not sufficient.
(2) 0<Q≤20. No info about P. Not sufficient.
(1)+(2) From (1) the question became: is \(Q<0\) or \(Q\geq{1}\)? Now, (2) says \(0<Q\leq{20}\), which is not sufficient to answer the question definitely: if \(1\leq{Q}\leq{20}\) the answer is YES but if \(0<Q<1\) the answer is NO. Not sufficient.
Answer: E.
Hope it's clear.
We don't need R at all, so substitute it. The question becomes is \(\frac{P}{Q}\leq{P}\)? Notice that we can not reduce both sides by P since we don't know the sign of it, thus don't know whether we should flip the sign of the inequality when reducing.
(1) P>50 --> P is positive - reduce by it. The question becomes is \(\frac{1}{Q}\leq{1}\)? --> is \(Q<0\) or \(Q\geq{1}\)? We don't know that. Not sufficient.
(2) 0<Q≤20. No info about P. Not sufficient.
(1)+(2) From (1) the question became: is \(Q<0\) or \(Q\geq{1}\)? Now, (2) says \(0<Q\leq{20}\), which is not sufficient to answer the question definitely: if \(1\leq{Q}\leq{20}\) the answer is YES but if \(0<Q<1\) the answer is NO. Not sufficient.
Answer: E.
Hope it's clear.
Ankit04041987
Posts: 32
29 Aug 2012, 00:25
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doesn't combining (1)+(2) imply 1<=q<=2, common region implied by options
(1) and (2)
(1) and (2)
