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

It is currently 24 Oct 2014, 19:03

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 polling company found that, of 300 households surveyed

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
avatar
Joined: 24 Jun 2010
Posts: 141
Concentration: Strategy, Technology
Followers: 6

Kudos [?]: 20 [1] , given: 26

Reviews Badge
A polling company found that, of 300 households surveyed [#permalink] New post 06 Oct 2010, 17:35
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

68% (03:03) correct 32% (02:39) wrong based on 117 sessions
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?

A. 24
B. 30
C. 36
D. 90
E. 96
[Reveal] Spoiler: OA
Retired Moderator
User avatar
Joined: 02 Sep 2010
Posts: 807
Location: London
Followers: 76

Kudos [?]: 507 [0], given: 25

GMAT ToolKit User Reviews Badge
Re: Gasoline and Electricity [#permalink] New post 06 Oct 2010, 23:52
krazo wrote:
Here is one I thought was pretty good...

A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?

(A) 24
(B) 30
(C) 36
(D) 90
(E) 96


120 spend $100 on gas & electricity
60 spend $100 on gas but not on electricity
For every one that spent <$100 on both there are 4 that spent $100 on electricity not gas

Let the ones that spent on neither be x
The ones that spent on just electricity will be 4x

Total households = Those who spend >$100 on both + Those who spend >$100 on just one + Those who spend <$100 on both = 120 + 60 + 4x + x

300 = 180 + 5x implies x=24

Answer is (A)
_________________

Math write-ups
1) Algebra-101 2) Sequences 3) Set combinatorics 4) 3-D geometry

My GMAT story

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 27 May 2012
Posts: 213
Followers: 0

Kudos [?]: 47 [0], given: 209

Re: Gasoline and Electricity [#permalink] New post 20 Jun 2012, 21:40
krazo wrote:
Here is one I thought was pretty good...

A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?

(A) 24
(B) 30
(C) 36
(D) 90
(E) 96



Can anyone provide a better explanation to this one , I am confused about the portion " for every household that did not spend at least $100 per month on gasoline or electricity, " How to calculate this portion

is A or B = AUB ? ? how to calculate A or B in this scenario ?
_________________

- Stne

2 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 28 Mar 2012
Posts: 286
Concentration: Entrepreneurship
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Followers: 15

Kudos [?]: 174 [2] , given: 23

GMAT ToolKit User
Re: Gasoline and Electricity [#permalink] New post 20 Jun 2012, 22:06
2
This post received
KUDOS
Quote:
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?

A. 24
B. 30
C. 36
D. 90
E. 96
Hi,

Please refer to the attached Venn diagram:
Here, x = Number of households neither using electricity nor gasoline.
Now, 60+120+4x+x=300
or x = 24

Answer (A)

Regards,
Attachments

Venn.jpg
Venn.jpg [ 22.47 KiB | Viewed 2388 times ]


_________________

My posts: Solving Inequalities, Solving Simultaneous equations, Divisibility Rules

My story: 640 What a blunder!

Vocabulary resource: EdPrep

Facebook page: fb.com/EdPrep


Last edited by cyberjadugar on 09 Jul 2012, 00:08, edited 1 time in total.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23409
Followers: 3613

Kudos [?]: 28926 [1] , given: 2871

Re: A polling company found that, of 300 households surveyed [#permalink] New post 21 Jun 2012, 00:36
1
This post received
KUDOS
Expert's post
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?

A. 24
B. 30
C. 36
D. 90
E. 96

{Total} = {Only Gasoline} + {Only Electricity} + {Both} + {Neither}. Notice that this formula is different from {Total} = {Group #1} + {Group #2}} - {Both} + {Neither};

300 = 60 + 4x + 120 + x --> x=24.

Answer: A.

Hope it's clear.
_________________

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: 27 May 2012
Posts: 213
Followers: 0

Kudos [?]: 47 [0], given: 209

Re: A polling company found that, of 300 households surveyed [#permalink] New post 21 Jun 2012, 03:20
Bunuel wrote:
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?

A. 24
B. 30
C. 36
D. 90
E. 96

{Total} = {Only Gasoline} + {Only Electricity} + {Both} + {Neither}. Notice that this formula is different from {Total} = {Group #1} + {Group #2}} - {Both} + {Neither};

300 = 60 + 4x + 120 + x --> x=24.

Answer: A.

Hope it's clear.

I know this is very basic , but a reconfirmation will help

" My confusion was the term " OR "

A OR B means AUB ( Total ) right so in this case E OR G means EUG( Total )

so EUG = only E + Only G + Both + Neither ( This one we are using )
also EUG = Group E + group G - both + Neither ( This one we are not using here )


Please let me now if anything that I have written in Blue is wrong !!

I want to understand if A or B = AUB = Total ??
_________________

- Stne

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23409
Followers: 3613

Kudos [?]: 28926 [0], given: 2871

Re: A polling company found that, of 300 households surveyed [#permalink] New post 21 Jun 2012, 03:51
Expert's post
stne wrote:
Bunuel wrote:
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?

A. 24
B. 30
C. 36
D. 90
E. 96

{Total} = {Only Gasoline} + {Only Electricity} + {Both} + {Neither}. Notice that this formula is different from {Total} = {Group #1} + {Group #2}} - {Both} + {Neither};

300 = 60 + 4x + 120 + x --> x=24.

Answer: A.

Hope it's clear.

I know this is very basic , but a reconfirmation will help

" My confusion was the term " OR "

A OR B means AUB ( Total ) right so in this case E OR G means EUG( Total )

so EUG = only E + Only G + Both + Neither ( This one we are using )
also EUG = Group E + group G - both + Neither ( This one we are not using here )


Please let me now if anything that I have written in Blue is wrong !!

I want to understand if A or B = AUB = Total ??


Two formulas are:
{Total} = {Group #1} + {Group #2} - {Both} + {Neither}
{Total} = {Only Group #1} + {Only Group #2} + {Both} + {Neither}

Now, if we are told that there are 10 people in {Group #1} and 15 people in {Group #2}, then the number of people in {Group #1} OR in {Group #2} can be expressed as {Group #1} + {Group #2} - {Both}. But to get the total number of people you should add to that the number of people who are in neither of groups.

Hope it's clear.
_________________

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

2 KUDOS received
Manager
Manager
User avatar
Status: Never ever give up on yourself.Period.
Joined: 23 Aug 2012
Posts: 138
Location: India
Concentration: Finance, Human Resources
Schools: Mays '16
GMAT 1: 570 Q47 V21
GMAT 2: 690 Q50 V33
GPA: 3.5
WE: Information Technology (Investment Banking)
Followers: 9

Kudos [?]: 96 [2] , given: 35

Re: A polling company found that, of 300 households surveyed [#permalink] New post 17 Sep 2012, 05:25
2
This post received
KUDOS
Different approach: I think if there are two overlapping sets then quick way to solve the problem is to form a chart rather than to draw a Venn diagram..here's the solution for above problem in chart way..
--------------Electricity----Non-Electricity--Total
Gasoline------120-----------60--------------180
Non-Gasln-----4x-------------x--------------120
Total -------------------------------------------300 now 4x + x =120, so 5x=120 and hence x=24.
_________________

Don't give up on yourself ever. Period.
Beat it, no one wants to be defeated (My journey from 570 to 690) : beat-it-no-one-wants-to-be-defeated-journey-570-to-149968.html

Senior Manager
Senior Manager
avatar
Joined: 22 Nov 2010
Posts: 293
Location: India
GMAT 1: 670 Q49 V33
WE: Consulting (Telecommunications)
Followers: 5

Kudos [?]: 29 [0], given: 75

Re: A polling company found that, of 300 households surveyed [#permalink] New post 17 Sep 2012, 06:27
Bunuel wrote:
stne wrote:
Bunuel wrote:
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?

A. 24
B. 30
C. 36
D. 90
E. 96

{Total} = {Only Gasoline} + {Only Electricity} + {Both} + {Neither}. Notice that this formula is different from {Total} = {Group #1} + {Group #2}} - {Both} + {Neither};

300 = 60 + 4x + 120 + x --> x=24.

Answer: A.

Hope it's clear.

I know this is very basic , but a reconfirmation will help

" My confusion was the term " OR "

A OR B means AUB ( Total ) right so in this case E OR G means EUG( Total )

so EUG = only E + Only G + Both + Neither ( This one we are using )
also EUG = Group E + group G - both + Neither ( This one we are not using here )


Please let me now if anything that I have written in Blue is wrong !!

I want to understand if A or B = AUB = Total ??


Two formulas are:
{Total} = {Group #1} + {Group #2} - {Both} + {Neither}
{Total} = {Only Group #1} + {Only Group #2} + {Both} + {Neither}

Now, if we are told that there are 10 people in {Group #1} and 15 people in {Group #2}, then the number of people in {Group #1} OR in {Group #2} can be expressed as {Group #1} + {Group #2} - {Both}. But to get the total number of people you should add to that the number of people who are in neither of groups.

Hope it's clear.


Hi Bunuel,

Can you please explain , when to you use these formulae?

Two formulas are:
{Total} = {Group #1} + {Group #2} - {Both} + {Neither}
{Total} = {Only Group #1} + {Only Group #2} + {Both} + {Neither}.

BR
_________________

YOU CAN, IF YOU THINK YOU CAN

CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 2862
Followers: 207

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

Premium Member
Re: A polling company found that, of 300 households surveyed [#permalink] New post 18 Nov 2013, 14:48
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

Manager
Manager
avatar
Joined: 10 Mar 2014
Posts: 106
Followers: 1

Kudos [?]: 18 [0], given: 6

CAT Tests
Re: A polling company found that, of 300 households surveyed [#permalink] New post 07 Aug 2014, 11:06
Bunuel wrote:
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?

A. 24
B. 30
C. 36
D. 90
E. 96

{Total} = {Only Gasoline} + {Only Electricity} + {Both} + {Neither}. Notice that this formula is different from {Total} = {Group #1} + {Group #2}} - {Both} + {Neither};

300 = 60 + 4x + 120 + x --> x=24.

Answer: A.

Hope it's clear.


HI Bunuel,

I know its a silly question but i didn't understand how you took 4x from question stem.

Please clarify.

Thanks.
VP
VP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1088
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 6

Kudos [?]: 308 [0], given: 170

A polling company found that, of 300 households surveyed [#permalink] New post 07 Aug 2014, 23:19
PathFinder007 wrote:
Bunuel wrote:
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?

A. 24
B. 30
C. 36
D. 90
E. 96

{Total} = {Only Gasoline} + {Only Electricity} + {Both} + {Neither}. Notice that this formula is different from {Total} = {Group #1} + {Group #2}} - {Both} + {Neither};

300 = 60 + 4x + 120 + x --> x=24.

Answer: A.

Hope it's clear.


HI Bunuel,

I know its a silly question but i didn't understand how you took 4x from question stem.

Please clarify.

Thanks.


Not Bunuel, but lets try :)

The answer lies in the highlighted part of the question

Only Electricity is 4 times of (No Gas No electricity)

So, if "x" = No Gas No electricity, then 4x = Only electricity

Please refer the Venn diagram above; it explains perfect

In this problem, the term "atleast 100" is the confusion creator which is repeated 5 times; although "100" is not required for any calculation.

May be GMAT trick :)
_________________

Kindly press "+1 Kudos" to appreciate :)

A polling company found that, of 300 households surveyed   [#permalink] 07 Aug 2014, 23:19
    Similar topics Author Replies Last post
Similar
Topics:
6 Experts publish their posts in the topic A polling company found that, of 300 households surveyed, 12 megafan 8 04 Mar 2013, 13:30
11 Experts publish their posts in the topic A marketing firm determined that, of 200 households surveyed Bunuel 23 25 Jun 2012, 01:28
11 Experts publish their posts in the topic A marketing firm determined that, of 200 households redbeanaddict 15 07 Jun 2008, 00:35
3 A polling company reports that there is a 40% chance that a ruturaj 5 11 Aug 2011, 21:18
In Sugarville, there are 300 households, each with either 1 kevincan 2 01 Sep 2006, 12:42
Display posts from previous: Sort by

A polling company found that, of 300 households surveyed

  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®.