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# PS- x (GMAT Prep)

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Manager
Joined: 28 Mar 2006
Posts: 157

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31 May 2006, 01:37
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This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x is positive which of the following could be the correct ordering of 1/x, 2x and x^2

1) x^2 < 2x < 1/x
2)x^2 < 1/x < 2x
3)2x < x^2 <1/x

1)none
2) 1 only
3) 3 only
4 1 and 3
5) 1,2 and 3

This is the exact question. It never mentioned whether x is an integer or not.Please explain...OA to follow soon

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Manager
Joined: 29 Sep 2005
Posts: 125

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31 May 2006, 04:53
Can someone pls. explain this one?

My answer was none since we do not know what X is real no, integer etc.

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Manager
Joined: 10 May 2006
Posts: 186

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Location: USA

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31 May 2006, 09:21
Check out this thread. I already posted this question. II also works when plugging in large fractions that are close to the value of 1.

http://www.gmatclub.com/phpbb/viewtopic ... highlight=

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CEO
Joined: 20 Nov 2005
Posts: 2892

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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Re: PS- x (GMAT Prep) [#permalink]

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31 May 2006, 10:18
itishaj wrote:
If x is positive which of the following could be the correct ordering of 1/x, 2x and x^2

1) x^2 < 2x < 1/x
2)x^2 < 1/x < 2x
3)2x < x^2 <1/x

1)none
2) 1 only
3) 3 only
4 1 and 3
5) 1,2 and 3

This is the exact question. It never mentioned whether x is an integer or not.Please explain...OA to follow soon

Read carefully, question asks "which of the following could be the correct ordering of 1/x, 2x and x^2"

So I could be true when x = 1/2 -------> 1/4 < 1 < 2
II could be true when x= 3/4 ---------> 9/16 < 4/3 <3/2
III can never be true because 2x < x^2 can only be true when x > 2 and x^2 <1/x can only be true when x < 1.

So my answer is I and II but its not in the choices
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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Manager
Joined: 17 Jan 2006
Posts: 92

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01 Jun 2006, 01:12
i got this question before
the ans is I and II
theres a mistake in the answer choice.

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01 Jun 2006, 01:12
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