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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. k = 2m = 4n and k, m, and n are non-negative integers.  Question banks Downloads My Bookmarks Reviews Important topics
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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1897 , given: 397

k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
Expert's post 00:00

Question Stats: 31% (00:20) correct 68% (00:37) wrong based on 32 sessions
k = 2m = 4n and k, m, and n are nonnegative integers.

 Quantity A Quantity B km kn

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.
[Reveal] Spoiler: OA

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Sandy
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Intern Joined: 08 Apr 2018
Posts: 44
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Kudos [?]: 15 , given: 16

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
sandy wrote:
k = 2m = 4n and k, m, and n are nonnegative integers.

 Quantity A Quantity B km kn

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.

Please confirm how this is D. Since they both have the same numerator, shouldn't the Quantity with the largest denominator be the smallest? Intern Joined: 26 Aug 2017
Posts: 31
Followers: 0

Kudos [?]: 19  , given: 7

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
1
KUDOS
Since they're non-negative, they can all be 0. In which case the answer is C...

But say k = 8. In this case m = 4 and n = 2. km = 32 and kn = 16, A > B.

So we can't tell for sure.
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1897 , given: 397

Re: k = 2m = 4n and k, m, and n are non-negative integers. [#permalink]
Expert's post
Explanation

If the variables are positive, Quantity A is greater. However, all three variables could equal zero, in which case the two quantities are equal. Watch out for the word “non-negative,” which means “positive or zero.”
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Sandy
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GRE Instructor Joined: 10 Apr 2015
Posts: 1981
Followers: 60

Kudos [?]: 1803 , given: 9

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
Expert's post
sandy wrote:
k = 2m = 4n and k, m, and n are nonnegative integers.

 Quantity A Quantity B km kn

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.

Let's test some possible values

case i: If k = 2m = 4n, then it COULD be the case that k = m = n = 0
We get:
Quantity A: km = (0)(0) = 0
Quantity B: kn = (0)(0) = 0
In this case, the two quantities are equal

case ii: If k = 2m = 4n, then it COULD be the case that k = 4, m = 2 and n = 1
We get:
Quantity A: km = (4)(2) = 8
Quantity B: kn = (4)(1) = 4
In this case, Quantity A is greater

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Brent Hanneson – Creator of greenlighttestprep.com  Re: k = 2m = 4n and k, m, and n are nonnegative integers.   [#permalink] 13 Jun 2019, 05:10
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