GMAT Changed on April 16th - Read about the latest changes here

It is currently 24 May 2018, 18:34

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A painter wishes to paint a house turquoise. To make the color, he sel

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45367
A painter wishes to paint a house turquoise. To make the color, he sel [#permalink]

Show Tags

New post 02 Feb 2015, 07:22
Expert's post
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (01:23) correct 27% (01:28) wrong based on 276 sessions

HideShow timer Statistics

A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

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

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 5779
Re: A painter wishes to paint a house turquoise. To make the color, he sel [#permalink]

Show Tags

New post 02 Feb 2015, 08:19
1
This post received
KUDOS
Expert's post
ans C..
!) it gives us total paint reqd.. insufficient
2) it gives % of pure white in blue base insufficient..
combined sufficient as ratio of two types of paint known along with the reqd % and total paint..
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


GMAT online Tutor

1 KUDOS received
Senior Manager
Senior Manager
User avatar
B
Joined: 28 Feb 2014
Posts: 295
Location: United States
Concentration: Strategy, General Management
Reviews Badge
Re: A painter wishes to paint a house turquoise. To make the color, he sel [#permalink]

Show Tags

New post 02 Feb 2015, 10:58
1
This post received
KUDOS
Bunuel wrote:
A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

Kudos for a correct solution.


Facts: House will be turquoise that is 75% pure white.
Eggshell primer is 70% pure white color
Bluebase coat composition is unknown

How many quarts of blue base is required to make the house turquoise?
We need to know 1) total paint required 2) pure white composition of blue base coat

Statement 1:
We now know that 300 quarts of paint is required
But we dont know the composition of blue base coat
Insufficient

Statement 2:
We now know the composition of blue base coat
But we still dont know the total paint required
Insufficient

Combined, we have both total paint required, and the composition of the blue base coat
Sufficient

Answer: C
1 KUDOS received
Manager
Manager
avatar
Joined: 17 Dec 2013
Posts: 58
GMAT Date: 01-08-2015
GMAT ToolKit User
Re: A painter wishes to paint a house turquoise. To make the color, he sel [#permalink]

Show Tags

New post 02 Feb 2015, 13:45
1
This post received
KUDOS
Quote:
A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.


we need to know 2 things: how we mix our color and how many quarts we need.

(1) gives us quarts but not the mix
(2) gives us the mix but not the quarts.

(1/2): we know we can determine that we need 1 part of the 90% and 3 parts of the 70%. and we need 300 quarts. I go with C
Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45367
A painter wishes to paint a house turquoise. To make the color, he sel [#permalink]

Show Tags

New post 09 Feb 2015, 04:28
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

The correct response is (C).

To find the amount of quarts of blue base, we need to find the ratio between the two components of the mixture: eggshell primer and blue-base. This is given to us in the second statement. We’ll also need to know how much total paint is needed in quarts to find what percent of that total would come from the blue-base coat. This is provided in the first statement. Since this is a Data Sufficiency problem, we don’t need to waste valuable time actually solving. However, if you wanted to check, here’s how:

Eggshell Primer: 70% white

Turquoise Color: 75% white

Blue Base Coat: 90% white

75%-70% = 5%

90% - 75% = 15%

5%/15 % = 1/3 is the ratio of the parts.

Blue Base Coat = 1/4∗300=75 quarts (67.5 white quarts)

Eggshell Primer = 3/4∗300=225 quarts (157.5 white quarts)

To double-check: 67.5 + 157.5 = 225. 225/300 = 75 % white.
_________________

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

1 KUDOS received
Intern
Intern
avatar
Joined: 07 Sep 2014
Posts: 15
Location: United States
GMAT Date: 03-14-2015
GMAT ToolKit User
Re: A painter wishes to paint a house turquoise. To make the color, he sel [#permalink]

Show Tags

New post 09 Feb 2015, 04:46
1
This post received
KUDOS
Bunuel wrote:
Bunuel wrote:

Blue Base Coat = 1/4∗300=75 quarts (67.5 white quarts)

Eggshell Primer = 1/4∗300=225 quarts (157.5 white quarts)



Bunuel
I think there is typo.Instead of 1/4 for eggshell primer it should be 3/4.

:-D
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45367
Re: A painter wishes to paint a house turquoise. To make the color, he sel [#permalink]

Show Tags

New post 09 Feb 2015, 04:48
vinyasgupta wrote:
Bunuel wrote:
Bunuel wrote:

Blue Base Coat = 1/4∗300=75 quarts (67.5 white quarts)

Eggshell Primer = 1/4∗300=225 quarts (157.5 white quarts)



Bunuel
I think there is typo.Instead of 1/4 for eggshell primer it should be 3/4.

:-D


Thank you. Edited.
_________________

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

1 KUDOS received
Intern
Intern
avatar
B
Joined: 17 Aug 2014
Posts: 8
Re: A painter wishes to paint a house turquoise. To make the color, he sel [#permalink]

Show Tags

New post 18 Sep 2016, 12:19
1
This post received
KUDOS
Bunuel wrote:
Bunuel wrote:
A painter wishes to paint a house turquoise. To make the color, he selects an eggshell primer made up of 70% pure-white color, and combines it with a blue base coat in order to create a turquoise color made up of 75% pure-white. How many quarts from the blue base coat should be mixed to make enough turquoise to paint the house?

(1) It will take 300 quarts of paint to cover the house.
(2) The blue base-coat is made up of 90% pure-white color.

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

The correct response is (C).

To find the amount of quarts of blue base, we need to find the ratio between the two components of the mixture: eggshell primer and blue-base. This is given to us in the second statement. We’ll also need to know how much total paint is needed in quarts to find what percent of that total would come from the blue-base coat. This is provided in the first statement. Since this is a Data Sufficiency problem, we don’t need to waste valuable time actually solving. However, if you wanted to check, here’s how:

Eggshell Primer: 70% white

Turquoise Color: 75% white

Blue Base Coat: 90% white

75%-70% = 5%

90% - 75% = 15%

5%/15 % = 1/3 is the ratio of the parts.

Blue Base Coat = 1/4∗300=75 quarts (67.5 white quarts)

Eggshell Primer = 3/4∗300=225 quarts (157.5 white quarts)

To double-check: 67.5 + 157.5 = 225. 225/300 = 75 % white.


Where did you get 1/4 from? Shouldn't it be 1/3 along with the ratio of the parts?
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 6839
Premium Member
Re: A painter wishes to paint a house turquoise. To make the color, he sel [#permalink]

Show Tags

New post 12 May 2018, 02:45
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: A painter wishes to paint a house turquoise. To make the color, he sel   [#permalink] 12 May 2018, 02:45
Display posts from previous: Sort by

A painter wishes to paint a house turquoise. To make the color, he sel

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


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®.