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If x and y are positive, is x < 10 < y? [#permalink]
 01 Oct 2012, 05:17
Question Stats:
63% (01:56) correct
36% (00:50) wrong based on 4 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectIf x and y are positive, is x < 10 < y? (1) x < y and xy = 100 (2) x^2 < 100 < y^2 Practice Questions
Question: 52
Page: 279
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Re: If x and y are positive, is x < 10 < y? [#permalink]
01 Oct 2012, 05:18
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Re: If x and y are positive, is x < 10 < y? [#permalink]
01 Oct 2012, 08:19
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Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectIf x and y are positive, is x < 10 < y? (1) x < y and xy = 100 (2) x^2 < 100 < y^2 Practice Questions
Question: 52
Page: 279
Difficulty: 600 GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! (1) If x=y and xy=100, then x=y=10. So, if the two positive numbers x and y are not equal, one must be smaller than 10 and the other one must be greater than 10. It is given that x<y, so necessarily x<10<y. Sufficient. (2) Since we are given that x and y are positive, we can take the square root of all the sides in the given inequality and obtain x<10<y. Sufficient. Answer D.
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Re: If x and y are positive, is x < 10 < y? [#permalink]
01 Oct 2012, 20:09
Answer is D. (Not providing any explanation coz Eva has covered the same important points.
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Re: If x and y are positive, is x < 10 < y? [#permalink]
02 Oct 2012, 20:32
Bunuel wrote: If x and y are positive, is x < 10 < y?
(1) x < y and xy = 100
(2) x^2 < 100 < y^2
I think the answer is since (1) X = 1/10 and Y = 1000 and X = 1/100 and Y = 10,000 yield the same answer where X < Y and xy = 100, insufficient (2) same as above. X = (1/10)^2 and y = 1000^2 and X = (1/100)^2 and Y = 10,000^2 satisfy the equation x^2 < 100 < y^2 Together the 2 statements do not yield any new info, hence Nevermind, the question is not asking for the value of x and y. The above posters are correct
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Re: If x and y are positive, is x < 10 < y? [#permalink]
04 Oct 2012, 14:37
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Re: If x and y are positive, is x < 10 < y? [#permalink]
29 Jan 2013, 08:53
Option 2 is very clear. Option 1 just drew a number line. xy=100 Any combination of numbers say 5 X 20 or 4 X 25 etc can give me an 'x' greater than 10 as x should be less than y. Probably this would be insufficient if x<y would not be given
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Re: If x and y are positive, is x < 10 < y?
[#permalink]
29 Jan 2013, 08:53
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