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

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Retired Moderator
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GRE 1: Q167 V156
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k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post 20 May 2018, 14:16
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33% (00:24) correct 66% (00:46) wrong based on 92 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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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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Kudos [?]: 26 [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.
Retired Moderator
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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Kudos [?]: 3037 [0], given: 394

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 [?]: 4778 [1] , given: 70

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post 13 Jun 2019, 05:10
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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] New post 16 Sep 2019, 09:00
GreenlightTestPrep wrote:
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

case i: If k = 2m = 4n, then it COULD be the case that k = m = n = 0 ------How "0"?
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Last edited by huda on 16 Sep 2019, 09:10, edited 1 time in total.
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Kudos [?]: 4778 [0], given: 70

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post 16 Sep 2019, 09:08
Expert's post
huda wrote:
case ii: If k = 2m = 4n, then it COULD be the case that k = 4, m = 2 and n = 1 ------How "0"?


I'm not sure what you're asking.
Can you elaborate?
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Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post 16 Sep 2019, 09:10
GreenlightTestPrep wrote:
huda wrote:
case ii: If k = 2m = 4n, then it COULD be the case that k = 4, m = 2 and n = 1 ------How "0"?


I'm not sure what you're asking.
Can you elaborate?


sorry, my mistake. it will be
case i: If k = 2m = 4n, then it COULD be the case that k = m = n = 0 ------How "0", means how they could be '0' Where as it is said that k = 2m = 4n?
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GRE: All About GRE | Search GRE Specific Questions | Download Vault
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Questions' Banks and Collection:
ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides
3rd Party Resource's: All In One Resource's | All Quant Questions Collection | All Verbal Questions Collection | Manhattan 5lb All Questions Collection
Books: All GRE Best Books
Scores: Average GRE Score Required By Universities in the USA
Tests: All Free & Paid Practice Tests | GRE Prep Club Tests
Extra: Permutations, and Combination
Vocab: GRE Vocabulary
Facebook GRE Prep Group: Click here to join FB GRE Prep Group

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GRE Instructor
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Kudos [?]: 4778 [1] , given: 70

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink] New post 16 Sep 2019, 15:55
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Expert's post
huda wrote:
GreenlightTestPrep wrote:
huda wrote:
case ii: If k = 2m = 4n, then it COULD be the case that k = 4, m = 2 and n = 1 ------How "0"?


I'm not sure what you're asking.
Can you elaborate?


sorry, my mistake. it will be
case i: If k = 2m = 4n, then it COULD be the case that k = m = n = 0 ------How "0", means how they could be '0' Where as it is said that k = 2m = 4n?


If k = 0, m = 0, and n = 0, then we get: 0 = 2(0) = 4(0), which is true.
In other words, k = 0, m = 0, and n = 0 is a solution to the equation k = 2m = 4n

Does that help?
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Re: k = 2m = 4n and k, m, and n are non-negative integers. [#permalink] New post 03 Mar 2020, 03:32
sandy wrote:
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.”


They got me with this one. Just like with 2 being the smallest prime. Ugh.
Re: k = 2m = 4n and k, m, and n are non-negative integers.   [#permalink] 03 Mar 2020, 03:32
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k = 2m = 4n and k, m, and n are non-negative integers.

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