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

It is currently 02 Sep 2014, 23:13

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

A marketing firm determined that, of 200 households surveyed

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 25259
Followers: 3433

Kudos [?]: 25297 [0], given: 2702

A marketing firm determined that, of 200 households surveyed [#permalink] New post 25 Jun 2012, 01:28
Expert's post
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

64% (02:15) correct 36% (01:34) wrong based on 404 sessions
A marketing firm determined that, of 200 households surveyed, 80 used neither Brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?

(A) 15
(B) 20
(C) 30
(D) 40
(E) 45

Diagnostic Test
Question: 6
Page: 21
Difficulty: 650
[Reveal] Spoiler: OA

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Expert Post
4 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 25259
Followers: 3433

Kudos [?]: 25297 [4] , given: 2702

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 25 Jun 2012, 01:28
4
This post received
KUDOS
Expert's post
SOLUTION

A marketing firm determined that, of 200 households surveyed, 80 used neither Brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?

(A) 15
(B) 20
(C) 30
(D) 40
(E) 45

Given:
Attachment:
A marketing firm determined.JPG
A marketing firm determined.JPG [ 12.11 KiB | Viewed 6267 times ]
"For every household that used both brands of soap, 3 used only Brand B soap" means that if x used both A and B, then 3x used only B (but not A). So, 4x+140=200 --> x=15.

Answer: A.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 07 Jun 2011
Posts: 77
Followers: 0

Kudos [?]: 9 [0], given: 31

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 25 Jun 2012, 04:04
60(number of brand A) + X(number of households that use both brans)+ 3x(number of households that use only brand B) + 80 = 200

X = 15
Intern
Intern
avatar
Joined: 14 Apr 2012
Posts: 13
Location: India
Concentration: Technology, General Management
GMAT Date: 09-12-2012
GPA: 3.5
WE: Information Technology (Retail)
Followers: 0

Kudos [?]: 5 [0], given: 16

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 26 Jun 2012, 08:52
Shouldn't the answer be [C]

60(Brand A) +3x(Brand B)-x(Both Brands) = 200-80(total is 120 since 80 use neither)

60+2x = 120 => x =30
Manager
Manager
avatar
Joined: 02 Jun 2011
Posts: 160
Followers: 1

Kudos [?]: 21 [0], given: 11

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 26 Jun 2012, 13:17
answer - 15 (A)
did with table for overlapping set.
Intern
Intern
avatar
Joined: 02 Feb 2012
Posts: 9
Followers: 0

Kudos [?]: 2 [0], given: 7

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 26 Jun 2012, 15:50
Ans: A (15)

Using given information, 60 people used Brand B. x used both A & B, 3x used only B. Solve for x.
x+3x = 60
x=15
1 KUDOS received
Current Student
User avatar
Joined: 08 Jan 2009
Posts: 334
GMAT 1: 770 Q50 V46
Followers: 22

Kudos [?]: 81 [1] , given: 7

GMAT Tests User
Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 28 Jun 2012, 01:26
1
This post received
KUDOS
I think a (poorly drawn) diagram really helps.

Image

60 + x + 3x + 80 = 200

4x = 60
x = 15
_________________

My Debrief

Intern
Intern
avatar
Joined: 22 Jun 2012
Posts: 13
Location: India
GPA: 3.09
Followers: 0

Kudos [?]: 13 [0], given: 2

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 28 Jun 2012, 01:41
pallavisatsangi wrote:
Shouldn't the answer be [C]

60(Brand A) +3x(Brand B)-x(Both Brands) = 200-80(total is 120 since 80 use neither)

60+2x = 120 => x =30

No pallavisatsangi
The answer is A (15) you can not subtract x (both using A and B) Because in the question it is mentioned that 60 people is only brand A and accordingly 3x people use only Brand B.... if the term 'ONLY' had not been used in the question then you would have subtracted x .. but since in both cases term 'only' has been used, you can not subtract x
So eq. becomes
60 +x+3x+80=200
x=15
_________________

\sqrt{[square_root][square_root][square_root][square_root][square_root]}[/square_root][/square_root][/square_root][/square_root][/square_root]????????

Senior Manager
Senior Manager
avatar
Joined: 06 Aug 2011
Posts: 409
Followers: 2

Kudos [?]: 59 [0], given: 82

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 28 Jun 2012, 11:22
Bunuel.. plz disclose the ASAP ..because sometimes we cant remember where we have replied..

I think its answer is 30..

OA????
_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 25259
Followers: 3433

Kudos [?]: 25297 [0], given: 2702

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 29 Jun 2012, 01:13
Expert's post
SOLUTION

A marketing firm determined that, of 200 households surveyed, 80 used neither Brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?

(A) 15
(B) 20
(C) 30
(D) 40
(E) 45

Given:
Attachment:
A marketing firm determined.JPG
A marketing firm determined.JPG [ 12.11 KiB | Viewed 6248 times ]
"For every household that used both brands of soap, 3 used only Brand B soap" means that if x used both A and B, then 3x used only B (but not A). So, 4x+140=200 --> x=15.

Answer: A.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 14 Apr 2012
Posts: 13
Location: India
Concentration: Technology, General Management
GMAT Date: 09-12-2012
GPA: 3.5
WE: Information Technology (Retail)
Followers: 0

Kudos [?]: 5 [0], given: 16

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 30 Jun 2012, 20:00
Thank q so much Manimani & Bunnel for clarifying my doubt
2 KUDOS received
Manager
Manager
User avatar
Joined: 23 Aug 2011
Posts: 84
Followers: 3

Kudos [?]: 54 [2] , given: 13

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 13 Aug 2012, 06:02
2
This post received
KUDOS
Nice question, i took around 1 minute to comprehend this line "for every household that used both brands of soap, 3 used only Brand B soap" and still over looked the word "only" Brand B. I chose (C)30 , but it should be 15. Nice explanation every one.

One important thing i observed in these questions, in which we have to deal with Only A/ Only B type issues that it is better to go with Venn-Dia. rather than table as it adds to complexity (only A-->not B)and consumes more time than former.
On the other hand, the table is easier to work with when the questions deal with "both/neither-nor" elements, range of elements.
Just my opinion.
_________________

Whatever one does in life is a repetition of what one has done several times in one's life!
If my post was worth it, then i deserve kudos :)

Intern
Intern
avatar
Joined: 01 Jun 2012
Posts: 21
Location: United States
Concentration: Nonprofit
GMAT 1: 720 Q48 V43
GPA: 3.83
Followers: 0

Kudos [?]: 7 [0], given: 15

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 04 Sep 2012, 17:11
A marketing firm determined that, of 200 households surveyed, 80 used neither Brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?

A) 15
B) 20
C) 30
D) 40
E) 45

If someone could tell me how to solve the problem using the manhattan method (with grids), that would be awesome. For such a simple problem, I can't figure out how I'm messing up setting up the grid.
Attachments

chart.JPG
chart.JPG [ 3.66 MiB | Viewed 5346 times ]

Director
Director
User avatar
Joined: 22 Mar 2011
Posts: 613
WE: Science (Education)
Followers: 68

Kudos [?]: 507 [0], given: 43

GMAT Tests User
Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 04 Sep 2012, 23:24
egiles wrote:
A marketing firm determined that, of 200 households surveyed, 80 used neither Brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?

A) 15
B) 20
C) 30
D) 40
E) 45

If someone could tell me how to solve the problem using the manhattan method (with grids), that would be awesome. For such a simple problem, I can't figure out how I'm messing up setting up the grid.


The data in your table should be as follow:

x 3x 60
60 80 140
60+x 80+3x 200

From the first line, x + 3x = 60 (the same equation can be obtained using the last line - 60 + x + 80 + 3x = 200).

Your mistake was misplacing 60 - it is the number of households using only brand A (meaning A but not B).
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 25259
Followers: 3433

Kudos [?]: 25297 [0], given: 2702

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 04 Sep 2012, 23:29
Expert's post
egiles wrote:
A marketing firm determined that, of 200 households surveyed, 80 used neither Brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?

A) 15
B) 20
C) 30
D) 40
E) 45

If someone could tell me how to solve the problem using the manhattan method (with grids), that would be awesome. For such a simple problem, I can't figure out how I'm messing up setting up the grid.


Merging similar topics.

Please search the forum before posting a question.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 26 Jul 2011
Posts: 131
Location: India
WE: Marketing (Manufacturing)
Followers: 1

Kudos [?]: 32 [0], given: 15

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 06 Sep 2012, 04:50
Answer is 15...I have sticky memory (I don't know if its good or bad). I am afraid, but unknowingly I have memorized lot of solutions and I tend to use that memory on mocks (As most of the problems in the post come from prep and Manhattan tests). The bad thing is when I am posed with a problem, perhaps testing the same concept, I just take too much of a time..should I keep doing problems from the posts or should I practice from some other source? Guys need your advice on this...
Intern
Intern
avatar
Joined: 25 Jun 2012
Posts: 36
Followers: 0

Kudos [?]: 25 [0], given: 4

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 10 Dec 2012, 15:23
fun question!

these always remind me of sudoku.

in any case, the twist here is that the relationship defining the square's occupant is a bit different than just concrete numbers, it's a tiny little ratio problem stuck inside of an overlapping set problem.

1:3 = 60

unknown multiplier of x...and: 1x+3x= 60 ... 4x= 60 ... x=15.
Intern
Intern
avatar
Joined: 07 Oct 2012
Posts: 4
Followers: 0

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

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 30 Jan 2013, 10:11
Hi,

I have a question/answer from the OG book that I don't understand, if someone could help me it could be really cool:

A marketing firm determined that, of 200 households surveyed, 80 used neither brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brand of soap, 3 use only Brand B soap.

How many of the 200 households surveyed used both brands of soap?


[Reveal] Spoiler:
60+x+3x=120
x=15

I don't understand from where does the 3x come from...

Thanks a lot

Best regard
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 25259
Followers: 3433

Kudos [?]: 25297 [0], given: 2702

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 30 Jan 2013, 10:16
Expert's post
sokoma wrote:
Hi,

I have a question/answer from the OG book that I don't understand, if someone could help me it could be really cool:

A marketing firm determined that, of 200 households surveyed, 80 used neither brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brand of soap, 3 use only Brand B soap.

How many of the 200 households surveyed used both brands of soap?



[Reveal] Spoiler:
60+x+3x=120
x=15

I don't understand from where does the 3x come from...

Thanks a lot

Best regard


Merging similar topics. Please refer to the solutions above.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rules #1, 3, 5, 7, and 8!
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 09 Jan 2014
Posts: 3
Followers: 0

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

Re: A marketing firm determined that, of 200 households surveyed [#permalink] New post 09 Jan 2014, 08:49
Thanks a lot to everybody for your explainations... I still have issues with understanding the exercise.
Indeed, when we just said that "for every household that used both brands of soap, 3 used only Brand B soap" what did we mean exactly? It is a bit confusing for me... First we say that they use both brands, but then we say that 3 (3 from what?) use only B... And all the 4x and 1x thing is also confusing me :(
Re: A marketing firm determined that, of 200 households surveyed   [#permalink] 09 Jan 2014, 08:49
    Similar topics Author Replies Last post
Similar
Topics:
9 Experts publish their posts in the topic A marketing firm determined that, of 200 households redbeanaddict 14 07 Jun 2008, 00:35
A marketing firm determined that, of 200 households sondenso 7 28 Apr 2008, 17:14
1 A marketing firm determined that, of 200 households inwosu 14 29 Dec 2007, 17:40
A marketing firm determined that, of 200 households TeHCM 6 25 Dec 2005, 23:34
Display posts from previous: Sort by

A marketing firm determined that, of 200 households surveyed

  Question banks Downloads My Bookmarks Reviews Important topics  

Go to page    1   2    Next  [ 24 posts ] 



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®.