Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A will was written such that an estate would be divided among five ben [#permalink]

Show Tags

09 Oct 2014, 03:56

9

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

85% (hard)

Question Stats:

56% (02:03) correct 44% (02:00) wrong based on 224 sessions

HideShow timer Statistics

A will was written such that an estate would be divided among five beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 20% of another's amount. If one of the beneficiaries received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries?

A will was written such that an estate would be divided among five beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 20% of another's amount. If one of the beneficiaries received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries?

I feel like a kid asking this but Bunuel can you please tell me what this question is trying to ask? The question was a bummer to me.

The question asks to find the smallest possible range between the highest and lowest amounts received by five people, while giving some constraints. It says that no one can receive an amount within 20% of another's amount. For example, if one has $10, then no one else can get amount from 8 (10 - 20%) to 12 (10+20%).
_________________

Re: A will was written such that an estate would be divided among five ben [#permalink]

Show Tags

11 Oct 2014, 05:18

Hello Bunuel. can you please explain why did u assume that $10K is the highest value of the range. It could also be the lowest value in the range right?

Hello Bunuel. can you please explain why did u assume that $10K is the highest value of the range. It could also be the lowest value in the range right?

Posted from my mobile device

In order to minimize the range 10k should be considered as the largest share.
_________________

Re: A will was written such that an estate would be divided among five ben [#permalink]

Show Tags

11 Oct 2014, 06:56

1

This post received KUDOS

AmoyV wrote:

I feel like a kid asking this but Bunuel can you please tell me what this question is trying to ask? The question was a bummer to me.

It was mentioned in the question that none of the beneficiaries can receive an amount with in 20% of another's amount.

If the 10000 becomes max amount, then the other amounts can be 0.8 * 10000 = 8000 0.8 * 8000 = 6400 0.8 * 6400 = 5120 0.8 * 5120 = 4096

Here, the next value decreases by 20% from previous value(as the shares keep on decreasing their 20% also decreases) range = 10000 - 4096 = 5904

If we think that the amount 10000 is the least share then the second share will be a minimum of 12500(should not consider 12000 as 80% of 12000 = 9600 i.e 10000 is with in the reach of 20% of 12000) and similarly, each value increase by 25% from its previous values... the shares keep on increasing 25% also increases... resulting in the increase of range.

Re: A will was written such that an estate would be divided among five ben [#permalink]

Show Tags

24 Oct 2014, 12:54

Bunuel wrote:

aadikamagic wrote:

A will was written such that an estate would be divided among five beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 20% of another's amount. If one of the beneficiaries received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries?

A will was written such that an estate would be divided among five beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 20% of another's amount. If one of the beneficiaries received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries?

If you compare 10000 and 4000, 4000 is outside the range of 20 percent of 10000. Why it is not considered?

Not sure I can follow you... We are told that no one can receive an amount within 20% of another's amount. 4000 is not within 20% range from 10000.
_________________

Re: A will was written such that an estate would be divided among five ben [#permalink]

Show Tags

12 Jul 2015, 11:47

I am trying to reason out why we need to take 10,000 as the largest number and why can't we take it as the smallest number - is it because if we take 20% of larger and larger numbers will make the numbers more far apart than if we were to go downwards, because 20% of a smaller quantity would be a smaller number?

Re: A will was written such that an estate would be divided among five ben [#permalink]

Show Tags

12 Jul 2015, 17:39

Rashima wrote:

I am trying to reason out why we need to take 10,000 as the largest number and why can't we take it as the smallest number - is it because if we take 20% of larger and larger numbers will make the numbers more far apart than if we were to go downwards, because 20% of a smaller quantity would be a smaller number?

That is correct.
_________________

Best GMAT Resources downloads- http://gmatclub.com/forum/collection-of-the-best-gmat-resources-167295.html#p1329720

Re: A will was written such that an estate would be divided among five ben [#permalink]

Show Tags

31 Oct 2017, 15:05

Bunuel wrote:

AmoyV wrote:

I feel like a kid asking this but Bunuel can you please tell me what this question is trying to ask? The question was a bummer to me.

The question asks to find the smallest possible range between the highest and lowest amounts received by five people, while giving some constraints. It says that no one can receive an amount within 20% of another's amount. For example, if one has $10, then no one else can get amount from 8 (10 - 20%) to 12 (10+20%).

I feel like a kid asking this but Bunuel can you please tell me what this question is trying to ask? The question was a bummer to me.

The question asks to find the smallest possible range between the highest and lowest amounts received by five people, while giving some constraints. It says that no one can receive an amount within 20% of another's amount. For example, if one has $10, then no one else can get amount from 8 (10 - 20%) to 12 (10+20%).

If the question says no one can receive an amount within 20% of another's amount, why we decrease 10,000 by 20% and so on...?

Not sure what to add to the post you are quoting...

In order to minimize the range 10k should be considered as the largest share. Since no one can receive an amount within 20% of another's amount, then the next amount cannot be more than 8k and so on.
_________________

Re: A will was written such that an estate would be divided among five ben [#permalink]

Show Tags

01 Nov 2017, 06:47

Bunuel wrote:

aadikamagic wrote:

A will was written such that an estate would be divided among five beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 20% of another's amount. If one of the beneficiaries received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries?

Hi, can't we take the 5 values as x1, x2, x3, x4, x5; take x5 = 10000 , take x4= 10000/1.2 instead of 10000*.8
_________________

.................................................................................................................. micro-level speed, macro-level patience | KUDOS for the post ,shall be appreciated the most