Find all School-related info fast with the new School-Specific MBA Forum

It is currently 29 Aug 2014, 06:16

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In 25 squares, each painted one of the solid colors red,

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Eternal Intern
User avatar
Joined: 07 Jun 2003
Posts: 480
Location: Lone Star State
Followers: 1

Kudos [?]: 11 [0], given: 0

GMAT Tests User
In 25 squares, each painted one of the solid colors red, [#permalink] New post 17 Jul 2003, 12:32
In 25 squares, each painted one of the solid colors red, green, yellow, or blue, are lined up side by side in a single row so that no two adjacent squares are the same color and there is at least one square of each color, what is the maximum possible number of blue squares?

Last edited by Curly05 on 18 Jul 2003, 17:38, edited 1 time in total.
Eternal Intern
User avatar
Joined: 07 Jun 2003
Posts: 480
Location: Lone Star State
Followers: 1

Kudos [?]: 11 [0], given: 0

GMAT Tests User
Need Explanation! [#permalink] New post 17 Jul 2003, 14:09
Please tell me how, answer choice does the club no good? :shock:
GMAT Instructor
User avatar
Joined: 07 Jul 2003
Posts: 771
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 9

Kudos [?]: 26 [0], given: 0

GMAT Tests User
 [#permalink] New post 17 Jul 2003, 14:42
Brainless wrote:
12


how about 13. Since the square are in a row, there is no reason why the blue ones can't be in all of the odd positions.
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Manager
Manager
User avatar
Joined: 25 Jun 2003
Posts: 96
Followers: 1

Kudos [?]: 0 [0], given: 0

 [#permalink] New post 17 Jul 2003, 15:45
AkamaiBrah wrote:
Brainless wrote:
12


how about 13. Since the square are in a row, there is no reason why the blue ones can't be in all of the odd positions.


Nah.. My reasoning is simple.

Since we must have one of each kind including ONE BLUE, we are left with 21 squares. And since we need to alternate colors, we can have another 11 BLUE maximum. Altogether we have 12 BLUES. This is true for any color ..

Am I missing some thing ?

:roll:
_________________

Brainless

Eternal Intern
User avatar
Joined: 07 Jun 2003
Posts: 480
Location: Lone Star State
Followers: 1

Kudos [?]: 11 [0], given: 0

GMAT Tests User
Brainless [#permalink] New post 17 Jul 2003, 17:11
Can an algebra formula be done listing out the possible squares? Remember, Brainless, we have about two minutes to get solution.

VT
Manager
Manager
User avatar
Joined: 05 May 2003
Posts: 68
Followers: 1

Kudos [?]: 0 [0], given: 0

 [#permalink] New post 17 Jul 2003, 18:08
13 is correct.
Start with a blue. place a blue in every alternate position.
Eternal Intern
User avatar
Joined: 07 Jun 2003
Posts: 480
Location: Lone Star State
Followers: 1

Kudos [?]: 11 [0], given: 0

GMAT Tests User
How long it take you [#permalink] New post 17 Jul 2003, 18:55
How long it take you?
SVP
SVP
User avatar
Joined: 03 Feb 2003
Posts: 1613
Followers: 5

Kudos [?]: 44 [0], given: 0

 [#permalink] New post 18 Jul 2003, 04:25
also vote for 13

B_B_B_B_ .... _B

among all Bs there are enough free places to put G, Y, and R.

So, the maximum number of blue squares is the number of odds in 25.
13 odd+12 even

Thus, 13.
Manager
Manager
avatar
Joined: 08 Apr 2003
Posts: 149
Followers: 1

Kudos [?]: 1 [0], given: 0

GMAT Tests User
Re: Is this an Algebra or Geometry Challenge [#permalink] New post 18 Jul 2003, 17:02
Curly05 wrote:
In 25 squares, each painted one of the solid colors red, green, yellow, or blue, are lined up side by side in a single row so that no two adjacent squares are the same color and there is at least one square of each color, what is the maximum possible number of blue squares?


Note the words in bold, in your question. Now once that is known, all one has to know is that there should be one more color apart from Blue to make sure that the color Blue does not come in adjacent boxes.

Finish!!!!!!!!!!!!!

You have the solution 13 :lol:
Eternal Intern
User avatar
Joined: 07 Jun 2003
Posts: 480
Location: Lone Star State
Followers: 1

Kudos [?]: 11 [0], given: 0

GMAT Tests User
Rationale [#permalink] New post 18 Jul 2003, 17:52
If you count all the numbers
1.3.5.7,9, 11,13, 15, 17, 19, 21, 23, 25- there are 13.

But 3 out of every five squares is blue and there are 25 squares.

3 x
-- = ----
5 25

Why is this wrong?

There are x-squares
x -1 - stand for?
2x-1=26
x=13
Eternal Intern
User avatar
Joined: 07 Jun 2003
Posts: 480
Location: Lone Star State
Followers: 1

Kudos [?]: 11 [0], given: 0

GMAT Tests User
Attention [#permalink] New post 21 Jul 2003, 06:11
Why isn't my ratio working?
Eternal Intern
User avatar
Joined: 07 Jun 2003
Posts: 480
Location: Lone Star State
Followers: 1

Kudos [?]: 11 [0], given: 0

GMAT Tests User
 [#permalink] New post 30 Jul 2003, 12:12
Cmon, Akami, show me why ratio isn't working? :-D
_________________

Ride em cowboy

Manager
Manager
User avatar
Joined: 22 Jul 2003
Posts: 63
Location: CA
Followers: 1

Kudos [?]: 0 [0], given: 0

 [#permalink] New post 30 Jul 2003, 13:42
Victor,
The ratio is not working because:
In the first 5 sq., you have 3 blue sq
In the next 5 sq., you have 2 blue sq.
In the next 5 sq., you have 3 blue sq
In the next 5 sq., you have 2 blue sq.
In the next 5 sq., you have 3 blue sq

So, altogether u have 3+2+3+2+3= 13

Because the # of blue sq. is varying, your ratio is not working
GMAT Instructor
User avatar
Joined: 07 Jul 2003
Posts: 771
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 9

Kudos [?]: 26 [0], given: 0

GMAT Tests User
 [#permalink] New post 30 Jul 2003, 15:43
prakuda2000 wrote:
Victor,
The ratio is not working because:
In the first 5 sq., you have 3 blue sq
In the next 5 sq., you have 2 blue sq.
In the next 5 sq., you have 3 blue sq
In the next 5 sq., you have 2 blue sq.
In the next 5 sq., you have 3 blue sq

So, altogether u have 3+2+3+2+3= 13

Because the # of blue sq. is varying, your ratio is not working


Victor,

You would have seen that yourself if you had made a little effort and drawn a picture....
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

  [#permalink] 30 Jul 2003, 15:43
    Similar topics Author Replies Last post
Similar
Topics:
In a 7 inch square painted red, another square painted white kashishh 4 16 Jun 2012, 13:56
Some of 50% intensity red paint is replaced with 25% GK_Gmat 1 04 Jul 2007, 00:34
some of the %50 intensity red paint is replaced with %25 ggarr 5 21 Jun 2007, 17:55
some of the %50 intensity red paint is replaced with %25 hsk 3 05 Jun 2007, 14:15
1 25 balls in a box. colors: red, white or blue. each numbered successstory 1 01 Feb 2007, 04:11
Display posts from previous: Sort by

In 25 squares, each painted one of the solid colors red,

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.