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

It is currently 21 Oct 2018, 06:19

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

In a survey it was found that 75% of those surveyed liked mustard and

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50010
In a survey it was found that 75% of those surveyed liked mustard and  [#permalink]

Show Tags

New post 19 Dec 2016, 05:34
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (01:40) correct 9% (02:09) wrong based on 82 sessions

HideShow timer Statistics

In a survey it was found that 75% of those surveyed liked mustard and 50% liked mayonnaise, while 27.5% liked both mayonnaise and mustard. If there are 200 people in the survey, how many did not like mayonnaise or mustard?

A. 30
B. 20
C. 10
D. 5
E. 0

_________________

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

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4095
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: In a survey it was found that 75% of those surveyed liked mustard and  [#permalink]

Show Tags

New post 19 Dec 2016, 09:08
Bunuel wrote:
In a survey it was found that 75% of those surveyed liked mustard and 50% liked mayonnaise, while 27.5% liked both mayonnaise and mustard. If there are 200 people in the survey, how many did not like mayonnaise or mustard?

A. 30
B. 20
C. 10
D. 5
E. 0

\(n ( M ∪ Y ) = n(M) + n(Y) - n( M ∩ Y )\)

Or, \(n ( M ∪ Y ) = 75 + 50 - 27.5\)

Or, \(n ( M ∪ Y ) = 97.5\)

So, 2.5 % did not like M or Y

Hence, 2.5% of 200 = 5 People did not like mayonnaise or mustard..

Answer will be (D) 5

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Director
Director
User avatar
P
Joined: 27 May 2012
Posts: 586
Premium Member
Re: In a survey it was found that 75% of those surveyed liked mustard and  [#permalink]

Show Tags

New post 23 Apr 2018, 08:28
Bunuel wrote:
In a survey it was found that 75% of those surveyed liked mustard and 50% liked mayonnaise, while 27.5% liked both mayonnaise and mustard. If there are 200 people in the survey, how many did not like mayonnaise or mustard?

A. 30
B. 20
C. 10
D. 5
E. 0


Dear Bunuel,
Would you be kind enough to look into this.?

Is the question asking how many do not like mayonnaise OR mustard or is it asking how many do not like mayonnaise AND mustard .

mayonnaise or mustard = Do not like mustard +Do not like mayo - Do not like both
=45 +95 - 5 -> 135

Do not like mayonnaise AND mustard = \(\frac{2.5}{100}\) *200 = 5

Am i missing anything? Thank you.
_________________

- Stne

Intern
Intern
User avatar
B
Joined: 31 Jan 2018
Posts: 24
Location: Germany
GMAT 1: 610 Q44 V30
GPA: 3
WE: Supply Chain Management (Manufacturing)
GMAT ToolKit User CAT Tests
Re: In a survey it was found that 75% of those surveyed liked mustard and  [#permalink]

Show Tags

New post 23 Apr 2018, 08:42
stne wrote:
Bunuel wrote:
In a survey it was found that 75% of those surveyed liked mustard and 50% liked mayonnaise, while 27.5% liked both mayonnaise and mustard. If there are 200 people in the survey, how many did not like mayonnaise or mustard?

A. 30
B. 20
C. 10
D. 5
E. 0


Dear Bunuel,
Would you be kind enough to look into this.?

Is the question asking how many do not like mayonnaise OR mustard or is it asking how many do not like mayonnaise AND mustard .

mayonnaise or mustard = Do not like mustard +Do not like mayo - Do not like both
=45 +95 - 5 -> 135

Do not like mayonnaise AND mustard = \(\frac{2.5}{100}\) *200 = 5

Am i missing anything? Thank you.


The question is asking for the people who nether like mustard nor mayonnaise. Hence, your second way = 5 is correct :)
GMAT Club Bot
Re: In a survey it was found that 75% of those surveyed liked mustard and &nbs [#permalink] 23 Apr 2018, 08:42
Display posts from previous: Sort by

In a survey it was found that 75% of those surveyed liked mustard and

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


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®.