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

It is currently 13 Dec 2018, 15:10

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

     December 14, 2018

     December 14, 2018

     09:00 AM PST

     10:00 AM PST

    10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

Appleton’s population is 400 greater than Berryville’s population. If

  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: 51185
Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 19 Feb 2015, 08:39
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

87% (01:42) correct 13% (02:27) wrong based on 105 sessions

HideShow timer Statistics

Appleton’s population is 400 greater than Berryville’s population. If Berryville’s population were reduced by 900 people, then Appleton’s population would be 3 times as large as Berryville’s population. What is Berryville’s current population?

A. 1550
B. 1650
C. 1750
D. 1850
E. 1950


Kudos for a correct solution.

_________________

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

Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2620
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 19 Feb 2015, 08:45
1
let's assign variables for Appleton (A) and Berryville (B)
Appleton's population is 400 greater than Berryville's. Let's write this with variables that we have assigned: A = B +400
If Berryville’s population were reduced by 900 people, then Appleton’s population would be 3 times as large as Berryville’s.
A=3(B-900)
What is Berryville’s current population? or what is B?

We have 2 equations with 2 unknowns:
A=B+400
A=3(B-900)
substitute A in the second equation:
B+400=3B-2700
3100 = 2B
1550 = B

Population of Berryville is 1550. Answer choice A.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51185
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 22 Feb 2015, 11:27
Bunuel wrote:
Appleton’s population is 400 greater than Berryville’s population. If Berryville’s population were reduced by 900 people, then Appleton’s population would be 3 times as large as Berryville’s population. What is Berryville’s current population?

A. 1550
B. 1650
C. 1750
D. 1850
E. 1950


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION
Attachment:
appletonandberryville_text(2).png
appletonandberryville_text(2).png [ 20.36 KiB | Viewed 5416 times ]

_________________

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

EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13078
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 22 Feb 2015, 21:41
Hi All,

This question can certainly be solved using a 2-variable "system" of equations. Since the prompt asks for B's CURRENT population, and the answers are numbers, we can TEST THE ANSWERS.

We're told that:
1) A's population is 400 greater than B's population.
2) If B's population were reduced by 900, then A's population would be 3(B's population).

We're asked for B's CURRENT population.

Let's TEST Answer B....
IF....
B's current population is 1650
A's current population is 2050

B - 900 = 1650 - 900 = 750
3(750) = 2250.....which is TOO BIG (in this scenario, it's supposed to be 2050).
This means that there should be FEWER people in both locations....

Knowing this, you can now pick the correct answer. Here's the proof though:

IF...
B's current population is 1550
A's current population is 1950

B - 900 = 1550 - 900 = 650
3(650) = 1950...which is a MATCH for what we were told.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1825
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 24 Feb 2015, 20:39
Answer = A = 1550

...................... Appleton .............................. Berry

Current population (x+400) .............................. x

Reduction by 900 ............................................... (x-900)

Given that 3(x-900) = x+400

x = 1550
_________________

Kindly press "+1 Kudos" to appreciate :)

SVP
SVP
avatar
B
Joined: 06 Nov 2014
Posts: 1880
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 28 Feb 2015, 06:55
Bunuel wrote:
Appleton’s population is 400 greater than Berryville’s population. If Berryville’s population were reduced by 900 people, then Appleton’s population would be 3 times as large as Berryville’s population. What is Berryville’s current population?

A. 1550
B. 1650
C. 1750
D. 1850
E. 1950


Kudos for a correct solution.

Given that A = 400 + B
Also, A = 3(B - 900)
Equating both the equations,
400 + B = 3(B - 900)
So, 400 + B = 3B - 2700
So, 3100 = 2B
So, B = 1550
Hence option A.

--
Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimus-prep.com/gmat-on-demand-course
Intern
Intern
avatar
Joined: 24 May 2016
Posts: 4
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 11 Jul 2016, 12:20
Bunuel wrote:
Bunuel wrote:
Appleton’s population is 400 greater than Berryville’s population. If Berryville’s population were reduced by 900 people, then Appleton’s population would be 3 times as large as Berryville’s population. What is Berryville’s current population?

A. 1550
B. 1650
C. 1750
D. 1850
E. 1950


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION
Attachment:
appletonandberryville_text(2).png


Shouldn't "Berryville’s current population" be (B-900) as in the previous sentence it' said that the population was reduced by 900 people?
In this case the answer would be 650
SVP
SVP
avatar
B
Joined: 06 Nov 2014
Posts: 1880
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 11 Jul 2016, 20:27
1
Mohafez wrote:
Bunuel wrote:
Bunuel wrote:
Appleton’s population is 400 greater than Berryville’s population. If Berryville’s population were reduced by 900 people, then Appleton’s population would be 3 times as large as Berryville’s population. What is Berryville’s current population?

A. 1550
B. 1650
C. 1750
D. 1850
E. 1950


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION
Attachment:
appletonandberryville_text(2).png


Shouldn't "Berryville’s current population" be (B-900) as in the previous sentence it' said that the population was reduced by 900 people?
In this case the answer would be 650



The sentence reads "were reduced by 900". Hence this is a hypothetical situation.
Therefore the current population would be B and after the situation takes place, it would be B-900

Does this help?
Intern
Intern
avatar
Joined: 24 May 2016
Posts: 4
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 12 Jul 2016, 13:02
MAGOOSH OFFICIAL SOLUTION
Attachment:
appletonandberryville_text(2).png
[/quote]

Shouldn't "Berryville’s current population" be (B-900) as in the previous sentence it' said that the population was reduced by 900 people?
In this case the answer would be 650[/quote]


The sentence reads "were reduced by 900". Hence this is a hypothetical situation.
Therefore the current population would be B and after the situation takes place, it would be B-900

Does this help?[/quote]

Thanks Janielle,
but is it "If were" put together that makes it hypothetical, or just "were"? If the sentence reads "If Berryville’s population was reduced" would it still be hypothetical?
SVP
SVP
avatar
B
Joined: 06 Nov 2014
Posts: 1880
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 14 Jul 2016, 20:23
Mohafez wrote:
MAGOOSH OFFICIAL SOLUTION
Attachment:
appletonandberryville_text(2).png


Shouldn't "Berryville’s current population" be (B-900) as in the previous sentence it' said that the population was reduced by 900 people?
In this case the answer would be 650[/quote]


The sentence reads "were reduced by 900". Hence this is a hypothetical situation.
Therefore the current population would be B and after the situation takes place, it would be B-900

Does this help?[/quote]

Thanks Janielle,
but is it "If were" put together that makes it hypothetical, or just "were"? If the sentence reads "If Berryville’s population was reduced" would it still be hypothetical?[/quote]
Hi Mohafez,

Yes both "If" and "were" contribute towards the hypothetical situation.
Have you started preparing for SC questions?
Intern
Intern
avatar
Joined: 24 May 2016
Posts: 4
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 18 Jul 2016, 01:42
[/quote]
Hi Mohafez,

Yes both "If" and "were" contribute towards the hypothetical situation.
Have you started preparing for SC questions?[/quote]

No, not yet
SVP
SVP
avatar
B
Joined: 06 Nov 2014
Posts: 1880
Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 18 Jul 2016, 20:30
Mohafez wrote:
Quote:
Hi Mohafez,

Yes both "If" and "were" contribute towards the hypothetical situation.
Have you started preparing for SC questions?


No, not yet
[/quote]
I think you should start preparing for the Verbal section too. You should try to keep you Verbal and Quants sections balanced else you face the risk of lagging behind in one.
How long have you been studying?
Intern
Intern
avatar
Joined: 24 May 2016
Posts: 4
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 19 Jul 2016, 10:27
OptimusPrepJanielle wrote:
Mohafez wrote:
Quote:
Hi Mohafez,

Yes both "If" and "were" contribute towards the hypothetical situation.
Have you started preparing for SC questions?


No, not yet

I think you should start preparing for the Verbal section too. You should try to keep you Verbal and Quants sections balanced else you face the risk of lagging behind in one.
How long have you been studying?[/quote]

Been studying for 3 weeks now but only for the quantitative section.
SVP
SVP
avatar
B
Joined: 06 Nov 2014
Posts: 1880
Re: Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 20 Jul 2016, 20:32
1
Mohafez wrote:
Been studying for 3 weeks now but only for the quantitative section.


I would recommend you to start studying for the Verbal part as well.

1. When do you plan to take the GMAT?
2. Which course material have you been following?

You need to build the concepts/fundamentals before you jump in solving the problems. You can do so by choosing one of the following ways:

1. In person classes/private tutoring
2. Online classes
3. Self paced online preparatory course
4. Book heavy approach

Whatever you choose, make sure that you choose one. Because GMAT tests you on some concepts and fundamentals that you can learn from a course. Most of the preparatory companies including ours offer a free trial of our course. You can take the trial and see if the course suits your needs.

In addition to the preparatory material, buy the Official Guides(both the Official Guide and the Verbal Review), Question Pack 1 and the 4 official mock CATs. They should be an indispensable part of your preparation.

You need close to 3 months to prepare well for the GMAT.

1. Understand the concepts and fundamentals before jumping into problem solving
2. Solve full length CATs including AWA and IR. You can get two free GMAT Prep mock CATs and can purchase two more from mba.com
3. Make sure you solve the official questions from the Official Guide
Manager
Manager
User avatar
B
Joined: 26 Feb 2018
Posts: 58
WE: Sales (Internet and New Media)
Appleton’s population is 400 greater than Berryville’s population. If  [#permalink]

Show Tags

New post 07 Mar 2018, 08:21
I solved it like this ,
A=400+B -> (i)
3(B-900) = A
Or 3B - 2700 = A --> (ii)
Now plug in the values of A in equation (ii) ,
Or 3B - B = 2700 + 400
Or 2B = 3100
Or B =1550
I took 120 seconds , I'm sure there would be better ways than this .

Bunuel , do these questions come in the category of Word Problems ? I'm sorry if it sounds stupid , I've started participating in your maths forum. Started with Quantitative at first.
_________________

" Can't stop learning and failing"

GMAT Club Bot
Appleton’s population is 400 greater than Berryville’s population. If &nbs [#permalink] 07 Mar 2018, 08:21
Display posts from previous: Sort by

Appleton’s population is 400 greater than Berryville’s population. If

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


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®.