Oct 14 08:00 PM PDT  11:00 PM PDT Join a 4day FREE online boot camp to kick off your GMAT preparation and get you into your dream bschool in R2.**Limited for the first 99 registrants. Register today! Oct 15 12:00 PM PDT  01:00 PM PDT Join this live GMAT class with GMAT Ninja to learn to conquer your fears of long, kooky GMAT questions. Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 03 Jul 2013
Posts: 82

A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
09 Oct 2014, 04:56
Question Stats:
52% (02:49) correct 48% (02:41) wrong based on 343 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. $4096 B. $5904 C. $7892 D. $10736 E. $20736
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Sometimes standing still can be, the best move you ever make......



Math Expert
Joined: 02 Sep 2009
Posts: 58320

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
09 Oct 2014, 05:21
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. $4096 B. $5904 C. $7892 D. $10736 E. $20736 Not a fan of the wording. Anyway: 1st  10,000. 2nd  0.8*10,000 = 8,000 3rd  0.8*8,000 = 6,400 4th  0.8*6.400 = ~5,100 5h  0.8*5,100 = ~4,000 Range = 10,000  4,000 = 6,000. Answer: B.
_________________



Retired Moderator
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 300

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
09 Oct 2014, 11:38
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.



Math Expert
Joined: 02 Sep 2009
Posts: 58320

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
10 Oct 2014, 02:18
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%).
_________________



Manager
Joined: 23 Jan 2012
Posts: 60

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
11 Oct 2014, 06:18
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?
Posted from my mobile device



Math Expert
Joined: 02 Sep 2009
Posts: 58320

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
11 Oct 2014, 07:01
p2bhokie wrote: 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.
_________________



Intern
Joined: 28 Jan 2013
Posts: 27

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
11 Oct 2014, 07:56
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. Hope this clarifies.



Intern
Joined: 11 May 2014
Posts: 17

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
24 Oct 2014, 13:54
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. $4096 B. $5904 C. $7892 D. $10736 E. $20736 Not a fan of the wording. Anyway: 1st  10,000. 2nd  0.8*10,000 = 8,000 3rd  0.8*8,000 = 6,400 4th  0.8*6.400 = ~5,100 5h  0.8*5,100 = ~4,000 Range = 10,000  4,000 = 6,000. Answer: B. Hi Bunuel, If you compare 10000 and 4000, 4000 is outside the range of 20 percent of 10000. Why it is not considered?



Math Expert
Joined: 02 Sep 2009
Posts: 58320

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
25 Oct 2014, 06:10
Bambaruush wrote: 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. $4096 B. $5904 C. $7892 D. $10736 E. $20736 Not a fan of the wording. Anyway: 1st  10,000. 2nd  0.8*10,000 = 8,000 3rd  0.8*8,000 = 6,400 4th  0.8*6.400 = ~5,100 5h  0.8*5,100 = ~4,000 Range = 10,000  4,000 = 6,000. Answer: B. Hi Bunuel, 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.
_________________



Intern
Joined: 16 Mar 2014
Posts: 4

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
12 Jul 2015, 12:47
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?



Manager
Joined: 30 Apr 2017
Posts: 58

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
31 Oct 2017, 16:05
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%). Hi BunuelIf 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...?



Math Expert
Joined: 02 Sep 2009
Posts: 58320

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
31 Oct 2017, 21:05
soodia wrote: 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%). Hi BunuelIf 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.
_________________



Intern
Joined: 09 Jun 2016
Posts: 24

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
01 Nov 2017, 07:47
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?
A. $4096 B. $5904 C. $7892 D. $10736 E. $20736 Not a fan of the wording. Anyway: 1st  10,000. 2nd  0.8*10,000 = 8,000 3rd  0.8*8,000 = 6,400 4th  0.8*6.400 = ~5,100 5h  0.8*5,100 = ~4,000 Range = 10,000  4,000 = 6,000. Answer: B. 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
_________________
.................................................................................................................. microlevel speed, macrolevel patience  KUDOS for the post ,shall be appreciated the most



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15243
Location: United States (CA)

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
17 Jan 2019, 19:25
Hi All, We're told that a will was written such that an estate would be divided among FIVE beneficiaries with the remainder donated to charity, with one stipulation in the will is that no one beneficiary can receive an amount within 20% of another's amount. One of the beneficiaries received $10,000  and we're asked for the SMALLEST possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries. This question comes down to a certain amount of Arithmetic, but the answers are sufficiently 'spaced out' that we can do a little estimation along the way. To start, since percentages are calculated from a 'base value', to MINIMIZE the RANGE, we want to DECREASE the values from the initial $10,000 (as opposed to increasing those values, which would increase the actual difference between each pair of values). 20% of $10,000 = $2000, so the 2nd beneficiary could receive close to $10,000  $2,000 = $8,000 20% of $8,000 = $1600, so the 3rd beneficiary could receive close to $8,000  $1,6000 = $6,400 20% of $6,400 = approximately $1300, so the 4th beneficiary could receive close to $6,400  $1,300 = $5,100 20% of $5,100 = approximately $1,000, so the 5th beneficiary could receive close to $5,100  $1,000 = $4,100 The range of these values is approximately $10,000  $4,100 = approximately $5,900 Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8043
Location: United States (CA)

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
21 Jan 2019, 19:08
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. $4096 B. $5904 C. $7892 D. $10736 E. $20736 Since we want the smallest possible range, we should let $10,000 be the highest amount. Since we want the smallest possible range between the highest and lowest amounts, we should make every other beneficiary receive as much as possible. Therefore, the next (or second) highest amount is no more than 10,000 x 0.8 = $8000. The third highest amount is no more than 8,000 x 0.8 = $6,400. The fourth highest amount is no more than 6,400 x 0.8 = $5,120 and the last (or fifth or least) amount is no more than $5,120 x 0.8 = $4,096. Therefore, the smallest possible range is 10,000  4,096 = $5,904 (when rounded to the nearest dollar). Answer: B
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



Intern
Joined: 14 Dec 2018
Posts: 5

Re: A will was written such that an estate would be divided among five ben
[#permalink]
Show Tags
26 Jan 2019, 13:30
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. $4096 B. $5904 C. $7892 D. $10736 E. $20736 1. If someone recieve "X" dollars, so nobody can recieve an amount from "0.8X to 1.2X". 2. If "X" should be $100, the least amount greater than X that another one can recieve is 121 and the greatest amount less than X that another one can receive 79. 3. One of the beneficiaries recieve $10000. 4. We have to calculate the SMALLEST possible range between the HIGHEST and LOWEST amount, so we don't have to calculate amounts greater than $10000 because the range increase. 5. According to the first 4 points: Let Xn=Beneficiary n X1=10000 X2<0.8*(10000)> X2=7999 X3<0.8*(7999) > X3=6399 X4<0.8*(6399) > X4=5119 X5<0.8*(5119) > X5=4095 Hence, the smallest range is 5905 (100004095) ANSWER (B)




Re: A will was written such that an estate would be divided among five ben
[#permalink]
26 Jan 2019, 13:30






