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

It is currently 20 Nov 2018, 18:37

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

     November 22, 2018

     November 22, 2018

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
  • Free lesson on number properties

     November 23, 2018

     November 23, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

A polling company found that, of 300 households surveyed, 12

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

Hide Tags

Manager
Manager
User avatar
Joined: 28 May 2009
Posts: 148
Location: United States
Concentration: Strategy, General Management
GMAT Date: 03-22-2013
GPA: 3.57
WE: Information Technology (Consulting)
GMAT ToolKit User
A polling company found that, of 300 households surveyed, 12  [#permalink]

Show Tags

New post 04 Mar 2013, 13:30
3
2
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

69% (02:41) correct 31% (03:24) wrong based on 222 sessions

HideShow timer Statistics

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

_________________

New to GMAT Club? Start here

Kindle Flashcards - Quant (Official Gmat Club, miguemick's Quant topics), and Verbal (Official Gmat Club) - in Kindle (azw3) format

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
Re: A polling company found that, of 300 households surveyed, 12  [#permalink]

Show Tags

New post 04 Mar 2013, 15:56
1
megafan 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} = 300;
{Both gasoline and electricity} = 120;
{Only gasoline} = 60;
{Neither gasoline nor electricity} = x;
{Only electricity} = 4x.

{Total} = {Only gasoline} + {Only electricity} + {Both gasoline and electricity} + {Neither gasoline nor electricity}

300 = 60 + 4x + 120 + x
x = {Neither gasoline nor electricity} = 24

Answer: A.

Hope it's clear.
_________________

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

Manager
Manager
User avatar
Joined: 28 May 2009
Posts: 148
Location: United States
Concentration: Strategy, General Management
GMAT Date: 03-22-2013
GPA: 3.57
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: A polling company found that, of 300 households surveyed, 12  [#permalink]

Show Tags

New post 04 Mar 2013, 16:02
Bunuel wrote:

{Total} = {Only gasoline} + {Only electricity} + {Both gasoline and electricity} + {Neither gasoline nor electricity}


Shouldn't it be minus (-) Both? I thought the relationship was Total = onlyA + onlyB - Both + Neither
_________________

New to GMAT Club? Start here

Kindle Flashcards - Quant (Official Gmat Club, miguemick's Quant topics), and Verbal (Official Gmat Club) - in Kindle (azw3) format

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
Re: A polling company found that, of 300 households surveyed, 12  [#permalink]

Show Tags

New post 04 Mar 2013, 16:22
2
1
megafan wrote:
Bunuel wrote:

{Total} = {Only gasoline} + {Only electricity} + {Both gasoline and electricity} + {Neither gasoline nor electricity}


Shouldn't it be minus (-) Both? I thought the relationship was Total = onlyA + onlyB - Both + Neither


Nope. It's {Total} = {Group 1} + {Group 2} - {Both} + {Neither}.

Look at the diagram below:
Attachment:
Venn diagram.png
Venn diagram.png [ 6.05 KiB | Viewed 3634 times ]
When we add {Group 1} and {Group 2} (entire circles), we count blue section (Both) twice, thus we should subtract it.

But if we have {Only group 1} and {Only group 2}, then it's {Total} = {Only group 1} + {Only group 2} + {Both} + {Neither}.

Hope it's clear.
_________________

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

Intern
Intern
avatar
Joined: 22 Apr 2013
Posts: 7
Re: A polling company found that, of 300 households surveyed, 12  [#permalink]

Show Tags

New post 29 Jun 2013, 03:42
electricity Not electricity
Gasoline 120 60 180
Not gasoline 4a a 120
300(total)

4a +a=5a=120
a=24
Director
Director
avatar
Joined: 03 Aug 2012
Posts: 744
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Premium Member
Re: A polling company found that, of 300 households surveyed, 12  [#permalink]

Show Tags

New post 17 Aug 2013, 08:05
Three solutions from my Side :

Approach 1 is given by 2-set matrix in the attached JPEG.

Approach 2:

Total = Only E + Only G + Both + Neither

= 60+120+4x+x (Where we have to find X)

X=24

Approach 3 is through Venn Diagrams find attached

120+60+x+4x=300

=> x=24

Rgds,
TGC !
Attachments

sol2.JPG
sol2.JPG [ 13.52 KiB | Viewed 2884 times ]

sol.JPG
sol.JPG [ 17.02 KiB | Viewed 2883 times ]

Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 314
Re: A polling company found that, of 300 households surveyed, 12  [#permalink]

Show Tags

New post 17 Aug 2013, 08:40
megafan 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

For every household that did not spend at least $100 per month on gasoline or electricity = P ,
4 spent at least $100 per month on electricity but not on gasoline = 4P

Spent = 300 - P
again spent = 60+120+4P

Now,
300 - P = 60+120+4P
or, 5P = 120
or, P = 24 (Answer)
_________________

Asif vai.....

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1826
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A polling company found that, of 300 households surveyed, 12  [#permalink]

Show Tags

New post 03 Oct 2014, 21:37
Solved by Venn diagram as shown in earlier posts.

"at least $100 per month" This sentence seems to be a distractor; repeated 5 times in this question due to which took more time to solve this :)
_________________

Kindly press "+1 Kudos" to appreciate :)

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8866
Premium Member
Re: A polling company found that, of 300 households surveyed, 12  [#permalink]

Show Tags

New post 07 Sep 2018, 08:54
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

GMAT Club Bot
Re: A polling company found that, of 300 households surveyed, 12 &nbs [#permalink] 07 Sep 2018, 08:54
Display posts from previous: Sort by

A polling company found that, of 300 households surveyed, 12

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


cron
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®.