NEW HERE? LEARN MORE
closeclose
It is currently 18 Apr 2024, 03:15
Register
GMAT Focus Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

In a survey on the popularity of magazines A,B and C among 100 pupils,

5 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
P
Lampard42
Senior Manager
Senior Manager
Joined: 22 Nov 2018
Posts: 446
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 740 Q49 V41
GMAT ToolKit User
In a survey on the popularity of magazines A,B and C among 100 pupils, [#permalink] New post  20 Jun 2019, 02:30
3
Kudos
19
Bookmarks
00:00
A
B
C
D
E

Difficulty:

95% (hard)

Question Stats:

25% (03:15) correct 75% (02:45) wrong based on 137 sessions
Hide Show timer Statistics
In a survey on the popularity of magazines A,B and C among 100 pupils, 39 pupils like A, 36 like B, 45 like C, 14 like A and B only, 11 like B and C only, 5 like A and C only. Find the maximum number of pupils who do not like any of the magazines.

A) 10
B) 12
C) 20
D) 32
E) 48
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.
Most Helpful Reply
User avatar
L
nick1816
Retired Moderator
Joined: 19 Oct 2018
Posts: 1880
Location: India
In a survey on the popularity of magazines A,B and C among 100 pupils, [#permalink] New post  20 Jun 2019, 11:44
5
Kudos
1
Bookmarks
It's a very good problem.

Let 'x' pupil don't read any magazine and 'y' pupil read all 3 magazines

100-x= 39+36+45-14-11-5-2y
x=10+2y

We need to maximize the value of 'y' in order to maximize the value of x

y can be maximize when 11-y=0 or y=11
{If y were greater than 11, the pupil who read only magazine would be negative} You can clearly see that in the diagram below

The maximum number of pupils who do not like any of the magazines= 10+2*11=32
Attachments

dgdg.png
dgdg.png [ 11.42 KiB | Viewed 5899 times ]

General Discussion
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5951
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Reviews Badge CAT Tests Forum Quiz Mode
Re: In a survey on the popularity of magazines A,B and C among 100 pupils, [#permalink] New post  20 Jun 2019, 05:47
1
Kudos
Expert Reply
Arvind42 wrote:
In a survey on the popularity of magazines A,B and C among 100 pupils, 39 pupils like A, 36 like B, 45 like C, 14 like A and B only, 11 like B and C only, 5 like A and C only. Find the maximum number of pupils who do not like any of the magazines.

A) 10
B) 12
C) 20
D) 32
E) 48



\(None_{max} =\) 100 - (39+36+45-14-11-5-2*0(all three)) = 10

Answer: Option A
User avatar
S
PRI23YA
Manager
Manager
Joined: 31 Oct 2021
Posts: 119
Location: India
Concentration: Finance, Strategy
Schools: ISB '24 (A$)
GRE 1: Q170 V167
GPA: 4
WE:Corporate Finance (Consulting)
In a survey on the popularity of magazines A,B and C among 100 pupils, [#permalink] New post  14 Feb 2022, 08:37
39+36+45-(14+5+11)+0+none=100 ==>> none=10.

(because no information is given regarding all the three, I'm assuming it to be Zero)

I suppose this is the right answer. Kindly review and correct me if wrong. Thank you.
avatar
B
RajatGMAT777
Intern
Intern
Joined: 08 Oct 2020
Posts: 34
Re: In a survey on the popularity of magazines A,B and C among 100 pupils, [#permalink] New post  03 Apr 2022, 06:03
nick1816 wrote:
It's a very good problem.

Let 'x' pupil don't read any magazine and 'y' pupil read all 3 magazines

100-x= 39+36+45-14-11-5-2y
x=10+2y

We need to maximize the value of 'y' in order to maximize the value of x

y can be maximize when 11-y=0 or y=11
{If y were greater than 11, the pupil who read only magazine would be negative} You can clearly see that in the diagram below

The maximum number of pupils who do not like any of the magazines= 10+2*11=32


nick1816
How did you deduce this conclusion, what's the logic behind this
We need to maximize the value of 'y' in order to maximize the value of x
y can be maximize when 11-y=0 or y=11
Please help me explain how did you get This equation 11-y=0 or y=11 from?
Thank you
GMAT Club Bot
gmatclubot
Re: In a survey on the popularity of magazines A,B and C among 100 pupils, [#permalink]
03 Apr 2022, 06:03
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
92747 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions