m05 : GMAT Problem Solving (PS)
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# m05

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Manager
Joined: 14 Apr 2010
Posts: 230
Followers: 2

Kudos [?]: 150 [0], given: 1

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13 Jul 2010, 08:39
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(N/A)

Question Stats:

83% (01:47) correct 17% (03:15) wrong based on 6 sessions

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If x=1/6 which expression has the greatest value?
a. x^(1/3)
b. x^(1/2)
c. 1/(2x)
d. x/.03
e. x^(-3)

The answer should be "D" which is equivalent to 5.5.
However, the OA is E.
[Reveal] Spoiler: OA
Ms. Big Fat Panda
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Joined: 09 Jun 2010
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Concentration: General Management, Nonprofit
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13 Jul 2010, 09:03
First off, let's take a holistic look at the values. The given number $$x = \frac{1}{6}$$ is a fraction, so the cube root and the square root will also be fractions.

A. $$x^\frac{1}{3} = (\frac{1}{6})^\frac{1}{3}$$
B. $$x^\frac{1}{2} = (\frac{1}{6})^\frac{1}{2}$$
C. $$\frac{1}{2x} = 3$$
D. $$\frac{x}{0.03} = \frac{100}{18}$$ Rewriting x as 1/6 and 0.03 as 3/100.
E. $$x^-^3 = (\frac{1}{x})^3 = 6^3$$

Hence E is the correct answer. I recommend that you go over exponent rules and fractions just to be sure of these concepts.
Manager
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13 Jul 2010, 12:04

1/x^3 > x / 0.3 in this case since x = 1/6
Manager
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13 Jul 2010, 18:26
ooopsss....such a silly mistake. thx
Re: m05   [#permalink] 13 Jul 2010, 18:26
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# m05

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