January 19, 2019 January 19, 2019 07:00 AM PST 09:00 AM PST Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. January 20, 2019 January 20, 2019 07:00 AM PST 07:00 AM PST Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 11 Jan 2007
Posts: 40
Location: United States
Concentration: Marketing, Healthcare
GMAT 1: 600 Q49 V25 GMAT 2: 650 Q49 V32
GPA: 3.5
WE: Pharmaceuticals (Consulting)

A onemillion dollar inheritance was divided among five
[#permalink]
Show Tags
21 Jun 2010, 12:06
Question Stats:
57% (02:06) correct 43% (02:01) wrong based on 357 sessions
HideShow timer Statistics
A onemillion dollar inheritance was divided among five beneficiaries. If no beneficiary received more than 30% of the inheritance, what was the greatest amount received by any one of the beneficiaries? (1) Three of the beneficiaries received 80% of the amount received by a fourth beneficiary. (2) No beneficiary received less than 10% of the total inheritance.
Official Answer and Stats are available only to registered users. Register/ Login.



Senior Manager
Joined: 25 Feb 2010
Posts: 343

Re: Inheritance
[#permalink]
Show Tags
21 Jun 2010, 13:23
Take 5 people , A B C D E Say, of 100 units, D gets 30 (max any one can receive). Then A + B + C = 24. Hence E should get 100  (30+24) = 46 which is not possible. (any beneficiary can receive up to a max of 30 units) E
_________________
GGG (Gym / GMAT / Girl)  Be Serious
Its your duty to post OA afterwards; some one must be waiting for that...



Intern
Joined: 14 Jun 2010
Posts: 16
Location: Singapore
Concentration: Strategy
WE: Information Technology (Consulting)

Re: Inheritance
[#permalink]
Show Tags
28 Jun 2010, 00:31
Given, 5 participants, each receiving less than 30% of something.
(i) 3 participants received 80% of 4th's share. 4th cud be 29, 28... hence, 3 participants cud have received variable amount (80%x29 OR 80%x28) based on 4th's share. These 4 participant's shares are variable hence 5ht is also variable. Multiple solutions. NOT SUFFICIENT.
(ii) {1,2,3,4,5}'s share > 10%. Multiple solutions possible. NOT SUFFICIENT.



Intern
Joined: 04 Aug 2013
Posts: 5

Re: A onemillion dollar inheritance was divided among five
[#permalink]
Show Tags
09 Aug 2013, 10:56
This is the Manhattan GMAT explanation: The question stem tells us that there were 5 beneficiaries and that no beneficiary received more than $300,000. We are asked to determine the greatest amount received by any of the beneficiaries. (1) INSUFFICIENT: There are many possible scenarios. For example, it's possible that one beneficiary received $250,000, three beneficiaries received 80% of that amount or $200,000 each, and the fifth beneficiary received the balance of $150,000. In this scenario the greatest amount awarded is $250,000. Alternatively, it is possible that one beneficiary received $225,000, three beneficiaries received 80% of that amount or $180,000, and the fifth beneficiary received the balance of $235,000. In this scenario the greatest amount awarded is $235,000. (2) INSUFFICIENT: This provides a range for the dollar amount received by each beneficiary from $100,000 to $300,000 (10% to 30%) but does not provide any way to determine the greatest amount received by any of the beneficiaries. (1) AND (2) INSUFFICIENT: Both statements together still allow for multiple scenarios. The two scenarios outlined in the discussion of statement (1) still hold even when adding the information in statement (2). Since there is still more than one possible value for the greatest amount received by any beneficiary, both statements together are not sufficient. The correct answer is E.



Senior Manager
Joined: 10 Jul 2013
Posts: 314

Re: A onemillion dollar inheritance was divided among five
[#permalink]
Show Tags
10 Aug 2013, 00:56
shaneforu wrote: A onemillion dollar inheritance was divided among five beneficiaries. If no beneficiary received more than 30% of the inheritance, what was the greatest amount received by any one of the beneficiaries?
(1) Three of the beneficiaries received 80% of the amount received by a fourth beneficiary. (2) No beneficiary received less than 10% of the total inheritance. ............... st1, say fourth beneficiary received = x but its not possible now to evaluate the value of x from st1. st2 is nothing that can fix the problem. so E
_________________
Asif vai.....



SVP
Joined: 06 Sep 2013
Posts: 1705
Concentration: Finance

Re: A onemillion dollar inheritance was divided among five
[#permalink]
Show Tags
16 Oct 2013, 17:16
shaneforu wrote: A onemillion dollar inheritance was divided among five beneficiaries. If no beneficiary received more than 30% of the inheritance, what was the greatest amount received by any one of the beneficiaries?
(1) Three of the beneficiaries received 80% of the amount received by a fourth beneficiary. (2) No beneficiary received less than 10% of the total inheritance. Any nice and straightforward approach for solving this one Bunuel? Or anyone if you dare! Much appreciated Cheers J



Math Expert
Joined: 02 Sep 2009
Posts: 52285

Re: A onemillion dollar inheritance was divided among five
[#permalink]
Show Tags
17 Oct 2013, 02:21
A onemillion dollar inheritance was divided among five beneficiaries. If no beneficiary received more than 30% of the inheritance, what was the greatest amount received by any one of the beneficiaries?Say the inheritance was $1,000. We are told that no one received more than $300. (1) Three of the beneficiaries received 80% of the amount received by a fourth beneficiary. This implies that 3 of he beneficiaries received an equal amount, which was 80% of the amount received by a 4th. Now, if that 4th received $250, then 3 received $200 each and 5th received 1,000(250+3*200)=150. The greatest amount received is $250. But if that 4th received $225, then 3 received $180 each and 5th received 1,000(225+3*180)=2350. The greatest amount received is $235. (2) No beneficiary received less than 10% of the total inheritance. Consider the same examples. Not sufficient. (1)+(2) Consider the same examples. Not sufficient. Answer: E.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 10 Jan 2016
Posts: 1

Re: A onemillion dollar inheritance was divided among five
[#permalink]
Show Tags
10 Jan 2016, 23:04
There isn't enough information. However, you can find what the highest possible amount is if you use 10% as the lowest amount received.
Beneficiary 4 receives $264,705.88.
$264,705.88 x 80% is $211,764.70 rounded to the nearest cent. Beneficiaries 1, 2, and 3 receive this amount.
$211,764.70(3) = $635,294.11
$635,294.11 $264,705.88 +___________ $899,999.99
This leaves $100,000.00 for Beneficiary 5 with an extra penny due to rounding. * * * This Doesn't work the other way around. Beneficiary 4 cannot receive 30% because that is %300,000.00 $300,000.00 x 80% = $240,000.00 $240,000(3) = $720,000 $720,000 + 300,000 = $1,200,000.00 leaving beneficiary 5 $20,000.00 in debt rather than getting at least 10 percent. * * * This shows the maximum amount that anyone can receive given the conditions of the problem.



Manager
Joined: 23 Jun 2009
Posts: 180
Location: Brazil
GMAT 1: 470 Q30 V20 GMAT 2: 620 Q42 V33

Re: A onemillion dollar inheritance was divided among five
[#permalink]
Show Tags
08 Nov 2016, 04:38
here is my two cents
Attachments
ineheri.png [ 490.18 KiB  Viewed 17058 times ]



Retired Moderator
Joined: 05 Jul 2006
Posts: 1722

Re: A onemillion dollar inheritance was divided among five
[#permalink]
Show Tags
22 Dec 2016, 10:28
shouldn't 1 specify that (1) Three of the beneficiaries ( EACH) received 80% of the amount received by a fourth beneficiary.



GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 618

Re: A onemillion dollar inheritance was divided among five
[#permalink]
Show Tags
18 Dec 2018, 13:00
shaneforu wrote: A onemillion dollar inheritance was divided among five beneficiaries. If no beneficiary received more than 30% of the inheritance, what was the greatest amount received by any one of the beneficiaries?
(1) Three of the beneficiaries received 80% of the amount received by a fourth beneficiary. (2) No beneficiary received less than 10% of the total inheritance.
\(A \leqslant B \leqslant C \leqslant D \leqslant E\,\,\,\,\,\,\left( \$ \right)\) \(A + B + C + D + E = {10^6}\) \(A,B,C,D,E\,\,\,\, \leqslant \,\,\,30\% \left( {{{10}^6}} \right)\) \(? = E\) \(\left( {1 + 2} \right)\,\,\,\left\{ \matrix{ \,{\rm{Take}}\,\,\left( {A;B;C;D;E} \right) = \left( {15\% \left( {{{10}^6}} \right);\overbrace {20\% \left( {{{10}^6}} \right);20\% \left( {{{10}^6}} \right);20\% \left( {{{10}^6}} \right);25\% \left( {{{10}^6}} \right)}^{{\rm{statement}}\,\,\left( 1 \right)}} \right)\,\,\,\,\, \Rightarrow \,\,\,\,\,\,? = 25\% \left( {{{10}^6}} \right) \hfill \cr \,\,{\rm{Take}}\,\,\left( {A;B;C;D;E} \right) = \left( {\underbrace {17\% \left( {{{10}^6}} \right);17\% \left( {{{10}^6}} \right);17\% \left( {{{10}^6}} \right);21.25\% \left( {{{10}^6}} \right)}_{{\rm{statement}}\,\,\left( 1 \right)};27.75\% \left( {{{10}^6}} \right)} \right)\,\,\,\,\, \Rightarrow \,\,\,\,\,\,? = 27.75\% \left( {{{10}^6}} \right) \hfill \cr} \right.\) This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT) Our highlevel "quant" preparation starts here: https://gmath.net



GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 618

Re: A onemillion dollar inheritance was divided among five
[#permalink]
Show Tags
18 Dec 2018, 13:11
yezz wrote: shouldn't 1 specify that (1) Three of the beneficiaries ( EACH) received 80% of the amount received by a fourth beneficiary. I believe so! When I started solving this problem, I thought about using the SUM of 3 beneficiaries amounts being equal to 80% ... Fortunately, you will (probably) NOT be put in such uncomfortable situations during your official test! Regards, Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT) Our highlevel "quant" preparation starts here: https://gmath.net




Re: A onemillion dollar inheritance was divided among five &nbs
[#permalink]
18 Dec 2018, 13:11






