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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1653 [0], given: 396

CAT Tests
x > 0 [#permalink] New post 22 Apr 2018, 13:56
Expert's post
00:00

Question Stats:

76% (00:25) correct 23% (00:42) wrong based on 13 sessions
\(x > 0\)

Quantity A
Quantity B
\((\frac{1}{3})^x\)
\((\frac{-1}{2})^x\)


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Drill 1
Question: 9
Page: 353-354
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1653 [0], given: 396

CAT Tests
Re: x > 0 [#permalink] New post 22 Apr 2018, 14:12
Expert's post
Explanation

Evaluate the relationship between the quantities by plugging in values for x.

If x = 2, then Quantity A is \(\frac{1}{9}\) and Quantity B is \(\frac{1}{4}\); Quantity B is greater, so eliminate answer choices
(A) and (C).

Now, if x = 3, then Quantity A is \(\frac{1}{27}\)and Quantity B is \(\frac{-1}{8}\); Quantity A is now greater, so eliminate choice (B), and you’re left with choice (D).
_________________

Sandy
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Manager
Manager
Joined: 26 Jan 2018
Posts: 172
Followers: 0

Kudos [?]: 104 [0], given: 3

Re: x > 0 [#permalink] New post 23 Apr 2018, 03:57
Can be checked for 1 and 2,

In each of these 2 cases, either of the terms have higher values. Hence the answer is D.
Re: x > 0   [#permalink] 23 Apr 2018, 03:57
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