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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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Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3037 , given: 394

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

Question Stats: 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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Sandy
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Intern Joined: 08 Apr 2018
Posts: 44
Followers: 0

Kudos [?]: 17 , given: 15

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: 30
Followers: 0

Kudos [?]: 26  , 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.
Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3037 , given: 394

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.”
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test GRE Instructor Joined: 10 Apr 2015
Posts: 3909
Followers: 164

Kudos [?]: 4778  , given: 70

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
1
KUDOS
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 Director  Joined: 22 Jun 2019
Posts: 517
Followers: 5

Kudos [?]: 108 , given: 161

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

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.
GRE Instructor Joined: 10 Apr 2015
Posts: 3909
Followers: 164

Kudos [?]: 4778 , given: 70

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

Brent Hanneson – Creator of greenlighttestprep.com Director  Joined: 22 Jun 2019
Posts: 517
Followers: 5

Kudos [?]: 108 , given: 161

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

New to the GRE, and GRE CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL

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 GRE Instructor Joined: 10 Apr 2015
Posts: 3909
Followers: 164

Kudos [?]: 4778  , given: 70

Re: k = 2m = 4n and k, m, and n are nonnegative integers. [#permalink]
1
KUDOS
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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Brent Hanneson – Creator of greenlighttestprep.com Manager Joined: 02 Mar 2020
Posts: 55
Followers: 0

Kudos [?]: 7 , given: 2

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