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PS: Correct ordering

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Senior Manager
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Joined: 16 Jan 2009
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Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
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PS: Correct ordering [#permalink]

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New post 07 Jun 2009, 11:27
00:00
A
B
C
D
E

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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
C.III
D.I and II
E.All
D

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Lahoosaher

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Re: PS: Correct ordering [#permalink]

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New post 07 Jun 2009, 11:53
I. x^2 < 2x < 1/x
lets evaluate both parts seperately
x^2 < 2x
or x < 2 (as x is +ve)

2x < 1/x
or x^2 < 0.5
or x < 0.7

Together for x <0.7

II. x^2 < 1/x < 2x
x^2 < 1/x
or x^3 < 1
or x < 1

1/x < 2x
or 1/2 < x^2
or 0.7 < x

Together, possible for 0.7 < x < 1

III. 2x < x^2 < 1/x
2x < x^2
or 2 < x (dividing x from both sides, since x is +ve)

x^2 < 1/x
or x^3 < 1
or x < 1

together, x>2 and x<1, not possible

Hence answer I and II or "D"
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Re: PS: Correct ordering [#permalink]

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New post 08 Jun 2009, 03:30
1
[quote="amolsk11"]If x is positive , which of the following could be correct ordering of \(1/x,2x and x^2\)?
I.\(x^2\frac{1}{\sqrt[3]{2}}\)
\(1&2&3 \longrightarrow \frac{1}{\sqrt[3]{2}} 2\)
\(2: \longrightarrow x^2<1/x \longrightarrow x^3<1 \longrightarrow x<1\)

Impossible


D 1&2

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Hades

Re: PS: Correct ordering   [#permalink] 08 Jun 2009, 03:30
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