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# If the numerator of a certain fraction is a quarter of the

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Intern
Joined: 08 Apr 2014
Posts: 20

Kudos [?]: 17 [2], given: 1

If the numerator of a certain fraction is a quarter of the [#permalink]

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28 Apr 2014, 12:25
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45% (medium)

Question Stats:

61% (00:44) correct 39% (00:53) wrong based on 254 sessions

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If the numerator of a certain fraction is a quarter of the value of the whole fraction, what is the value of the denominator of that fraction?

A. 0.25
B. 0.5
C. 4
D. 16
E. The information given is insufficient to determine the denominator.

[Reveal] Spoiler:
I can't get a hand on this one.
if i say X/Y is my fraction, then X = 1/4*X/Y = X/(4Y)

so the value of the denominator to the fractions is: 4Y/(X/4Y) = (4Y)^2 / X

so E is correct for me but i am not sure.

How do you deal with this question pls?

Thanks.
Greg
[Reveal] Spoiler: OA

Last edited by Bunuel on 28 Apr 2014, 12:40, edited 1 time in total.
Edited the question

Kudos [?]: 17 [2], given: 1

Math Expert
Joined: 02 Sep 2009
Posts: 42559

Kudos [?]: 135331 [0], given: 12687

Re: If the numerator of a certain fraction is a quarter of the [#permalink]

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28 Apr 2014, 12:43
Expert's post
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gregfromnancy wrote:
If the numerator of a certain fraction is a quarter of the value of the whole fraction, what is the value of the denominator of that fraction?

A. 0.25
B. 0.5
C. 4
D. 16
E. The information given is insufficient to determine the denominator.

[Reveal] Spoiler:
I can't get a hand on this one.
if i say X/Y is my fraction, then X = 1/4*X/Y = X/(4Y)

so the value of the denominator to the fractions is: 4Y/(X/4Y) = (4Y)^2 / X

so E is correct for me but i am not sure.

How do you deal with this question pls?

Thanks.
Greg

The numerator of a certain fraction is a quarter of the value of the whole fraction: $$x=\frac{1}{4}*\frac{x}{y}$$ --> reduce by x: $$1=\frac{1}{4y}$$ --> $$y=\frac{1}{4}$$.

_________________

Kudos [?]: 135331 [0], given: 12687

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7791

Kudos [?]: 18103 [2], given: 236

Location: Pune, India
Re: If the numerator of a certain fraction is a quarter of the [#permalink]

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28 Apr 2014, 22:07
2
KUDOS
Expert's post
gregfromnancy wrote:
If the numerator of a certain fraction is a quarter of the value of the whole fraction, what is the value of the denominator of that fraction?

A. 0.25
B. 0.5
C. 4
D. 16
E. The information given is insufficient to determine the denominator.

[Reveal] Spoiler:
I can't get a hand on this one.
if i say X/Y is my fraction, then X = 1/4*X/Y = X/(4Y)

so the value of the denominator to the fractions is: 4Y/(X/4Y) = (4Y)^2 / X

so E is correct for me but i am not sure.

How do you deal with this question pls?

Thanks.
Greg

You can also do it assuming some numbers.
Say the numerator is 1. Then the whole fraction should be 4 (since numerator is a quarter of the fraction). So 1 should be divided by (1/4) to get 4. Hence denominator should be 1/4 = 0.25
_________________

Karishma
Veritas Prep | GMAT Instructor
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Kudos [?]: 18103 [2], given: 236 Current Student Joined: 03 Feb 2013 Posts: 943 Kudos [?]: 1087 [0], given: 548 Location: India Concentration: Operations, Strategy GMAT 1: 760 Q49 V44 GPA: 3.88 WE: Engineering (Computer Software) Re: If the numerator of a certain fraction is a quarter of the [#permalink] ### Show Tags 02 Nov 2014, 06:56 What about if the numerator is 0? Actually I solved using N = N/4D => 4DN = N (Assuming D is not equal to 0 as otherwise the number will not exist) => N(4D-1) = 0 Now N can be equal to 0 and 0 can be argued as 0/1 as a fraction. And I chose E) _________________ Thanks, Kinjal My Application Experience : http://gmatclub.com/forum/hardwork-never-gets-unrewarded-for-ever-189267-40.html#p1516961 Linkedin : https://www.linkedin.com/in/kinjal-das/ Please click on Kudos, if you think the post is helpful Kudos [?]: 1087 [0], given: 548 Manager Joined: 21 Sep 2012 Posts: 218 Kudos [?]: 207 [0], given: 31 Location: United States Concentration: Finance, Economics Schools: CBS '17 GPA: 4 WE: General Management (Consumer Products) Re: If the numerator of a certain fraction is a quarter of the [#permalink] ### Show Tags 02 Nov 2014, 08:16 Bunuel wrote: gregfromnancy wrote: If the numerator of a certain fraction is a quarter of the value of the whole fraction, what is the value of the denominator of that fraction? A. 0.25 B. 0.5 C. 4 D. 16 E. The information given is insufficient to determine the denominator. [Reveal] Spoiler: I can't get a hand on this one. if i say X/Y is my fraction, then X = 1/4*X/Y = X/(4Y) so the value of the denominator to the fractions is: 4Y/(X/4Y) = (4Y)^2 / X so E is correct for me but i am not sure. How do you deal with this question pls? Thanks. Greg The numerator of a certain fraction is a quarter of the value of the whole fraction: $$x=\frac{1}{4}*\frac{x}{y}$$ --> reduce by x: $$1=\frac{1}{4y}$$ --> $$y=\frac{1}{4}$$. Answer: A. Are we not assuming x to be non zero when we reduce x from equation. I chose E since it is not given that numerator is non zero. Bunuel please confirm. Kudos [?]: 207 [0], given: 31 Non-Human User Joined: 09 Sep 2013 Posts: 14900 Kudos [?]: 287 [0], given: 0 Re: If the numerator of a certain fraction is a quarter of the [#permalink] ### Show Tags 20 Nov 2016, 10:43 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Kudos [?]: 287 [0], given: 0 CR Forum Moderator Status: The best is yet to come..... Joined: 10 Mar 2013 Posts: 498 Kudos [?]: 217 [0], given: 197 If the numerator of a certain fraction is a quarter of the [#permalink] ### Show Tags 05 Aug 2017, 18:50 Let, the denomination of the fraction is $$d$$ and the value of the whole fraction is $$x$$. So, the equation becomes, $$\frac{\frac{x}{4}}{d}=x => \frac{x}{4}=dx => \frac{1}{4}=d => d=0.25$$ _________________ Hasan Mahmud Kudos [?]: 217 [0], given: 197 Manager Joined: 07 Jun 2017 Posts: 110 Kudos [?]: 3 [0], given: 454 Re: If the numerator of a certain fraction is a quarter of the [#permalink] ### Show Tags 06 Aug 2017, 00:29 Correct me if I am wrong. The first part of the question is saying the numerator is 1/4 of the whole fraction, i get that but it is asking the value of the denominator. Why is the value of the denominator is 1/4? it does not make sense to me Kudos [?]: 3 [0], given: 454 Intern Joined: 25 Jul 2017 Posts: 7 Kudos [?]: 0 [0], given: 0 Re: If the numerator of a certain fraction is a quarter of the [#permalink] ### Show Tags 06 Aug 2017, 01:54 just simply plug what the question says- per question numerator = 1/4 (numerator/denominator) This gives us 4* denominator =1 => denominator is 0.25. Hence A. Kudos [?]: 0 [0], given: 0 Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7791 Kudos [?]: 18103 [1], given: 236 Location: Pune, India Re: If the numerator of a certain fraction is a quarter of the [#permalink] ### Show Tags 07 Aug 2017, 04:15 1 This post received KUDOS Expert's post pclawong wrote: Correct me if I am wrong. The first part of the question is saying the numerator is 1/4 of the whole fraction, i get that but it is asking the value of the denominator. Why is the value of the denominator is 1/4? it does not make sense to me N = (1/4)*(N/D) N gets cancelled off and you get D = 1/4. No matter what N is, whenever D is 1/4, the value of N will be a quarter of the whole fraction. Say N = 2, N/D = 2/(1/4) = 8 N is a quarter of the whole fraction. Say N = 3, N/D = 3/(1/4) = 12 N is a quarter of the whole fraction. Since 4 of the denominator's denominator will multiply the fraction by 4, no matter what the numerator is, it will always be a quarter of the fraction. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: If the numerator of a certain fraction is a quarter of the   [#permalink] 07 Aug 2017, 04:15
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