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by adi_800 » Sat Aug 28, 2010 3:27 am
If x is positive, which of the following could be correct ordering of 1/x, 2x, and x^2?

(I) x^2 < 2x < 1/x
(II) x^2 < 1/x < 2x
(III) 2x < x^2 < 1/x

(a) none
(b) I only
(c) III only
(d) I and II
(e) I, II and III
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by sanju09 » Sat Aug 28, 2010 4:09 am
adi_800 wrote:If x is positive, which of the following could be correct ordering of 1/x, 2x, and x^2?

(I) x^2 < 2x < 1/x
(II) x^2 < 1/x < 2x
(III) 2x < x^2 < 1/x

(a) none
(b) I only
(c) III only
(d) I and II
(e) I, II and III
[spoiler]D[/spoiler]


www.beatthegmat.com/gmat-prep-practice- ... t4735.html

www.beatthegmat.com/positive-x-t48925.html

www.beatthegmat.com/x-2-1-x-2x-t57756.html
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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by diebeatsthegmat » Sat Aug 28, 2010 11:28 am
adi_800 wrote:If x is positive, which of the following could be correct ordering of 1/x, 2x, and x^2?

(I) x^2 < 2x < 1/x
(II) x^2 < 1/x < 2x
(III) 2x < x^2 < 1/x

(a) none
(b) I only
(c) III only
(d) I and II
(e) I, II and III
D is the answer
for x=1/2 > I
and for x=0.9 >II
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by narik11 » Wed Sep 01, 2010 4:04 am
sanju09 wrote:
adi_800 wrote:If x is positive, which of the following could be correct ordering of 1/x, 2x, and x^2?

(I) x^2 < 2x < 1/x
(II) x^2 < 1/x < 2x
(III) 2x < x^2 < 1/x

(a) none
(b) I only
(c) III only
(d) I and II
(e) I, II and III
[spoiler]D[/spoiler]


www.beatthegmat.com/gmat-prep-practice- ... t4735.html

www.beatthegmat.com/positive-x-t48925.html

www.beatthegmat.com/x-2-1-x-2x-t57756.html
what happens when the value of X is 1??
x^2 < 1/x < 2x doesn't satisfy as 1 is not less than 1..
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by sanju09 » Wed Sep 01, 2010 4:54 am
narik11 wrote:
sanju09 wrote:
adi_800 wrote:If x is positive, which of the following could be correct ordering of 1/x, 2x, and x^2?

(I) x^2 < 2x < 1/x
(II) x^2 < 1/x < 2x
(III) 2x < x^2 < 1/x

(a) none
(b) I only
(c) III only
(d) I and II
(e) I, II and III
[spoiler]D[/spoiler]


www.beatthegmat.com/gmat-prep-practice- ... t4735.html

www.beatthegmat.com/positive-x-t48925.html

www.beatthegmat.com/x-2-1-x-2x-t57756.html
what happens when the value of X is 1??
x^2 < 1/x < 2x doesn't satisfy as 1 is not less than 1..
That's why question uses the term "could be correct ordering of 1/x, 2x, and x^2". Ordering is possible only when x is not 1, that's understood.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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