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I with you on that one. #2 and #3 don't seem possible to be in the right order. It's safe to say we're dealing with x as a positive fraction.
_________________

------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

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

I got that 1 is possible but from 2 and 3 another one is also possible according to the answer. Can someone please explain

x=1/2 I is possible (every body agrees with this)

2) x^2 < 1/x < 2x --> x^2-1/x<0 and 1/x-2x<0 x^3-1<0 and 2x*x-1>0 (x is positive) (x-1)*(x2+1)<0 and x*x>1/2 (because x is postiive) --> x<1 and x> 1/sqrt(2)

So its possible for any value > 1/sqrt(2) and <1

I and II possible. 3)

2x < x^2 <1/x

x^2-2x>0 and x^2-1/x<0 x*(x-2)>0 and x3-1<0 you know that x>0 (positive) x-2>0 and x-1<0 x>2 and x<1 not possible at all.

only I and II possible.
_________________

Your attitude determines your altitude Smiling wins more friends than frowning

You're going to do great! I predict 720 - 750 for you.

x2suresh wrote:

jallenmorris wrote:

Suresh, It looks like we agree with each other...again

I will be very happy If my score agrees with your score.... in future..

Thats!! encouraging... Will try to beat that.. RC sucks for me.. ( I need your help to improve the same) I need to work more on RC and CR.. (Just ordered GMAT CR POWERSCORE BIBLE)
_________________

Your attitude determines your altitude Smiling wins more friends than frowning

Last edited by x2suresh on 12 Aug 2008, 12:06, edited 1 time in total.

What part of RC seems to be the issue? I've never had an issue with RC (read too many cases in law school!). I'll help you where I can.
_________________

------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.