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k = 2m = 4n and k, m, and n are non-negative integers.

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Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1897 [0], given: 397

k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post 20 May 2018, 14:16
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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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Posts: 44
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Kudos [?]: 15 [0], given: 16

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post 27 May 2018, 19:15
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?
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Intern
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Joined: 26 Aug 2017
Posts: 31
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Kudos [?]: 19 [1] , given: 7

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post 28 May 2018, 07:22
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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
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User avatar
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1897 [0], given: 397

Re: k = 2m = 4n and k, m, and n are non-negative integers. [#permalink] New post 17 Jul 2018, 12:11
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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Kudos [?]: 1803 [0], given: 9

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Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post 13 Jun 2019, 05:10
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

Answer: D

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Re: k = 2m = 4n and k, m, and n are nonnegative integers.   [#permalink] 13 Jun 2019, 05:10
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k = 2m = 4n and k, m, and n are non-negative integers.

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