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

It is currently 22 Jan 2019, 06:48

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

S96-13

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52385
S96-13  [#permalink]

Show Tags

New post 16 Sep 2014, 00:51
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

60% (02:07) correct 40% (02:11) wrong based on 63 sessions

HideShow timer Statistics

A total of \(j\) dollars is given to Abby, Bill, and Carla and divided equally among them. Then Abby gives Bill \(k\) dollars, Bill gives Carla \(2k\) dollars, and Carla gives Abby \(3k\) dollars. Afterwards, Abby has exactly half of all the dollars given to the three people. In terms of \(k\), how much money was given originally to Abby, Bill, and Carla?

A. \(4k\)
B. \(6k\)
C. \(8k\)
D. \(12k\)
E. \(16k\)

_________________

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

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52385
Re S96-13  [#permalink]

Show Tags

New post 16 Sep 2014, 00:51
Official Solution:

A total of \(j\) dollars is given to Abby, Bill, and Carla and divided equally among them. Then Abby gives Bill \(k\) dollars, Bill gives Carla \(2k\) dollars, and Carla gives Abby \(3k\) dollars. Afterwards, Abby has exactly half of all the dollars given to the three people. In terms of \(k\), how much money was given originally to Abby, Bill, and Carla?

A. \(4k\)
B. \(6k\)
C. \(8k\)
D. \(12k\)
E. \(16k\)


Taking a "direct algebra" approach, we can see that each of the three people receives \(\frac{j}{3}\) dollars. During the swaps, Abby gives away \(k\) dollars but receives \(3k\) dollars, so her total increases by \(2k\) dollars. Her final total is half of the original amount of money, or \(\frac{j}{2}\). Now we can write an equation:
\(\frac{j}{3} + 2k = \frac{j}{2}\)

Now solve for \(j\) in terms of \(k\). First, multiply through by 6 to eliminate fractions:
\(2j + 12k = 3j\)
\(12k = j\)

This is our answer. We can also solve by picking a number for \(j\), but realize that we cannot separately pick numbers for \(j\) and \(k\) - after all, that would determine the very relationship the question is asking us for. Moreover, it's difficult to know ahead of time what would be a good test number for \(j\). Seeing 2 and 3 as coefficients within the problem, we might pick $6 as the total. Then each of the people receives $2. Abby has to wind up with $3 (half of $6) when all is said and done, so she has to increase her total by $1. Since she gives away \(k\) dollars but receives \(3k\) dollars, she increases her total by \(2k\) dollars. This tells us that \(k\) is $0.50, so \(j\) is 12 times bigger. However, this reasoning doesn't save us a whole lot of work. Direct algebra is just as fast.


Answer: D
_________________

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

Intern
Intern
avatar
Joined: 09 Jul 2015
Posts: 15
Location: India
Concentration: Marketing, International Business
GPA: 3
WE: Analyst (Consulting)
Re: S96-13  [#permalink]

Show Tags

New post 04 Oct 2016, 21:29
In this question we are asked the individual share that each had or the total sum of money?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52385
Re: S96-13  [#permalink]

Show Tags

New post 05 Oct 2016, 01:28
RC Moderator
User avatar
D
Joined: 24 Aug 2016
Posts: 642
Location: Canada
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: S96-13  [#permalink]

Show Tags

New post 18 Sep 2018, 12:18
x given to each A, B & C. j=3x

.......................A...............B................C

initial : ..............x...............x...............x
A gives B , K:...x-k.............x+k.............x
B gives C , 2K:.x-k.............x-k.........x+2k
C gives A , 3K:...x+2k.........x-k...........x-k

Now, 2(x+2k) = 3x ==> x=4k ==>j=12k ansD
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

Intern
Intern
avatar
B
Joined: 14 Sep 2018
Posts: 15
Location: United States (NJ)
Concentration: Finance, Strategy
GMAT 1: 680 Q50 V31
GPA: 3.87
WE: Business Development (Insurance)
Re: S96-13  [#permalink]

Show Tags

New post 12 Oct 2018, 20:08
I also found the wording of the question confusing: "how much money was given originally to Abby, Bill, and Carla", I interpreted it as how much money each of them got.
Intern
Intern
User avatar
B
Joined: 11 Dec 2013
Posts: 40
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
GMAT ToolKit User
Re S96-13  [#permalink]

Show Tags

New post 21 Nov 2018, 21:26
I think this is a poor-quality question and I agree with explanation. In terms of kk, how much money was given originally to Abby, Bill, and Carla?

No clearity.
Found out j/3
_________________

KUDOS will increase your score

GMAT Club Bot
Re S96-13 &nbs [#permalink] 21 Nov 2018, 21:26
Display posts from previous: Sort by

S96-13

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

Moderators: chetan2u, Bunuel



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®.