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x and m are positive numbers, and m is a multiple of 3.

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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x and m are positive numbers, and m is a multiple of 3. [#permalink] New post 12 Jan 2016, 23:32
Expert's post
00:00

Question Stats:

67% (01:22) correct 32% (00:49) wrong based on 52 sessions
x and m are positive integers, and m is a multiple of 3.

Quantity A
Quantity B
\(\frac{(x^m)}{x^3}\)
x ^ \((\frac{m}{3})\)


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




Practice Questions
Question: 8
Page: 331
Difficulty: medium
[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 [?]: 1659 [0], given: 396

CAT Tests
Re: x and m are positive numbers, and m is a multiple of 3. [#permalink] New post 13 Jan 2016, 00:15
Expert's post
Solution


Since you need to compare \(\frac{x^m}{x^3}=x^(^m ^- ^3 ^)\)with \(x^\frac{m}{3}\). Since the base in both expressions is the same, a good strategy to use to solve this problem is to plug in numbers for m in both expressions and compare them.

You know that m is a multiple of 3, so the least positive integer you can plug in for m is 3.

If m=3, then \(x^( ^m ^- ^3 ^)=1\) and x ^\(\frac{m}{3}\)=x. Since x can be any real number, its relationship to 1 cannot be determined from the information given. This example is sufficient to show that the relationship cannot be determined from the information given. The correct answer is Choice D.
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Re: x and m are positive numbers, and m is a multiple of 3. [#permalink] New post 24 Jun 2018, 06:58
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We take two multiples of 3. 3 and 6 ond then we solve the given equations once by 3 and then by 6 we will get two different answers. Therefore the answer will be 'D'.
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Re: x and m are positive numbers, and m is a multiple of 3. [#permalink] New post 09 Jul 2018, 18:46
sandy wrote:
x and m are positive integers, and m is a multiple of 3.

Quantity A
Quantity B
\(\frac{(x^m)}{x^3}\)
x ^ \((\frac{m}{3})\)


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




Practice Questions
Question: 8
Page: 331
Difficulty: medium


My Answer is D
Re: x and m are positive numbers, and m is a multiple of 3.   [#permalink] 09 Jul 2018, 18:46
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x and m are positive numbers, and m is a multiple of 3.

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