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

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Joined: 07 Jun 2014
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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]  12 Jan 2016, 23:32
Expert's post
00:00

Question Stats:

65% (01:13) correct 34% (00:48) wrong based on 64 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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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1775 [0], given: 397

Re: x and m are positive numbers, and m is a multiple of 3. [#permalink]  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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Sandy
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Re: x and m are positive numbers, and m is a multiple of 3. [#permalink]  24 Jun 2018, 06:58
1
KUDOS
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]  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

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