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Ordering Questions

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by KItuz » Sat Jun 18, 2011 9:03 pm
Is there an easy to answer ordering questions like this =>

If x is positive, which of the following could be the correct ordering of 1/x, 2x, x(sq=sqare)

I. x(sq) < 2x < 1/x
II. x(sq) < 1/x < 2x
III. 2x < x(sq) < 1/x

None
I Only
III Only
I & II Only
I, II and III
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Source: — Data Sufficiency |

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by Anurag@Gurome » Sat Jun 18, 2011 10:48 pm
Refer to this thread : https://www.beatthegmat.com/ordering-t85210.html#377151
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by GMATGuruNY » Sun Jun 19, 2011 1:56 am
I posted a solution here:

https://www.beatthegmat.com/ordering-of- ... 83913.html
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by amit2k9 » Sun Jun 19, 2011 2:43 am
the range to be check for is 0.1 < x < 0.5 ; 0.6<=x<= 1 and x> 1.

1 for x=0.1 its true.

2 for x=0.9 its 0.81 < 1/0.9 < 1.8. true.

2 1/x cannot be > x^2 for positive integers. Not true.

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