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PS- x (GMAT Prep) [#permalink] New post 31 May 2006, 02:37
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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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 [#permalink] New post 31 May 2006, 05:53
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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 [#permalink] New post 31 May 2006, 10:21
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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Re: PS- x (GMAT Prep) [#permalink] New post 31 May 2006, 11:18
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 :roll: :roll: :roll:
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 [#permalink] New post 01 Jun 2006, 02:12
i got this question before
the ans is I and II
theres a mistake in the answer choice.
  [#permalink] 01 Jun 2006, 02:12
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