GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 25 Sep 2018, 12:34

Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel

After his death, a farmer left all of his land to his three children.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior Manager
Senior Manager
User avatar
Joined: 25 Feb 2010
Posts: 375
After his death, a farmer left all of his land to his three children.  [#permalink]

Show Tags

New post Updated on: 02 Mar 2017, 05:14
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

89% (02:28) correct 11% (02:05) wrong based on 60 sessions

HideShow timer Statistics

After his death, a farmer left all of his land to his three children. Alfred received 20% more acres of land than James and 25% more than Stephen. If James received 3,600 acres, how many acres did Stephen get?

A. 2400
B. 3456
C. 3600
D. 3750
E. 4320

M07-17


Attachment:
untitled.JPG
untitled.JPG [ 18.65 KiB | Viewed 2039 times ]

Originally posted by onedayill on 04 Jul 2010, 08:47.
Last edited by Bunuel on 02 Mar 2017, 05:14, edited 1 time in total.
Renamed the topic and edited the question.
Intern
Intern
User avatar
Joined: 25 Jan 2010
Posts: 12
Re: After his death, a farmer left all of his land to his three children.  [#permalink]

Show Tags

New post 04 Jul 2010, 09:26
This ones easy.....

Alfred= James *1.20 therefore =3600*1.20=4320

Now Alfred received 25% more than Stephen therefore:

S * 1.25 =4320
S= 4320/1.25
S=3456
SVP
SVP
avatar
Status: Graduated
Affiliations: HEC
Joined: 28 Sep 2009
Posts: 1604
Concentration: Economics, Finance
GMAT 1: 730 Q48 V44
Premium Member
Re: After his death, a farmer left all of his land to his three children.  [#permalink]

Show Tags

New post 04 Jul 2010, 10:53
1
In order to find the answer, we go through two equations. First, let James = J, Alfred = A, and Stephan = S. Now, with our designated variables in place, we can set up the first equality:

A = 1.2 x J = 1.2(3600) = 4320

The next equation requires some rearranging, namely isolating the variable "S" by division:

A = 4320 = 1.25 x S
S = 4320/1.25 = 3456 acres, hence B.
_________________

GMAT Club Premium Membership - big benefits and savings

Director
Director
avatar
Joined: 21 Dec 2009
Posts: 546
Concentration: Entrepreneurship, Finance
Re: After his death, a farmer left all of his land to his three children.  [#permalink]

Show Tags

New post 04 Jul 2010, 15:06
Alfred= 1.2(3600) = 1.25S [S=stephen]
S = 1.2(3600)/1.25
= 1.2 x 3600 x 4/5 =48 x72
= 3456 (B)
_________________

KUDOS me if you feel my contribution has helped you.

Senior Manager
Senior Manager
User avatar
Joined: 25 Feb 2010
Posts: 375
Re: After his death, a farmer left all of his land to his three children.  [#permalink]

Show Tags

New post 05 Jul 2010, 10:26
Thanks Guys, I was exhausted while doing this question, Got it very easily after a quick nap :)
_________________

GGG (Gym / GMAT / Girl) -- Be Serious

Its your duty to post OA afterwards; some one must be waiting for that...

Intern
Intern
avatar
Joined: 22 Jun 2010
Posts: 34
Re: After his death, a farmer left all of his land to his three children.  [#permalink]

Show Tags

New post 30 Jul 2010, 17:54
gmatbull wrote:
Alfred= 1.2(3600) = 1.25S [S=stephen]
S = 1.2(3600)/1.25
= 1.2 x 3600 x 4/5 =48 x72
= 3456 (B)


I think the answer should not be B because Alfre got 25% more than steph ==> we should multilpy by 0.75 and not by 1.2
Intern
Intern
User avatar
S
Joined: 17 Jan 2016
Posts: 42
Location: India
Concentration: General Management, General Management
GMAT ToolKit User Premium Member
Re: After his death, a farmer left all of his land to his three children.  [#permalink]

Show Tags

New post 02 Mar 2017, 02:05
James = 3600 Acres. Since Alfred receives 20% more than James.

So Alfred = 3600+3600*(20/100) or simply put 1.2*3600 ------(1)

Now Alfred receives 25% more than Stephen. So stephen receives S acres then

Alfred = S + (25/100)*S or

Alfred = 1.25S or

S= Alfred/1.25

Now Alfred got 1.2*3600 (from (1)) So,

S = (1.2*3600)/1.25

S= 3456.

Hope this clarifies your doubt mehdiov
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49496
Re: After his death, a farmer left all of his land to his three children.  [#permalink]

Show Tags

New post 02 Mar 2017, 05:15
onedayill wrote:
After his death, a farmer left all of his land to his three children. Alfred received 20% more acres of land than James and 25% more than Stephen. If James received 3,600 acres, how many acres did Stephen get?

A. 2400
B. 3456
C. 3600
D. 3750
E. 4320

M07-17


Attachment:
untitled.JPG


Given that James received 3,600 acres and that Alfred received 20% more acres of land than James, so Alfred=3,600*1.2=4,320. Now, as Alfred also received 25% more than Stephen then Alfred=4,320=Stephen*1.25 --> Stephen=4,320/1.25=3,456.

Answer: B.

Or you can see that Alfred received the largest share (20% more than James and 25% more than Stephen ) and Stephen received the least share, so Stephen received less than James=3,600. Answer choice A is too small (33% less than 3,600) so pick B.

Hope it's clear.
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2835
Re: After his death, a farmer left all of his land to his three children.  [#permalink]

Show Tags

New post 06 Mar 2017, 18:09
1
onedayill wrote:
After his death, a farmer left all of his land to his three children. Alfred received 20% more acres of land than James and 25% more than Stephen. If James received 3,600 acres, how many acres did Stephen get?

A. 2400
B. 3456
C. 3600
D. 3750
E. 4320


Since James received 3,600 acres of land and Alfred received 20% more than than James, Alfred received 1.2 x 3,600 = 4,320 acres of land.

Since Alfred received 25% more land than Stephen, we can let the number of acres of land Stephen received be n and create the following equation:

1.25n = 4,320

n = 3,456

Answer: B
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: After his death, a farmer left all of his land to his three children. &nbs [#permalink] 06 Mar 2017, 18:09
Display posts from previous: Sort by

After his death, a farmer left all of his land to his three children.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.