GMAT Changed on April 16th - Read about the latest changes here

It is currently 26 Apr 2018, 02:47

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

Events & Promotions in June
Open Detailed Calendar

At a certain school, each of the 150 students takes between

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

Hide Tags

Intern
Intern
avatar
Joined: 07 Jul 2010
Posts: 8
At a certain school, each of the 150 students takes between [#permalink]

Show Tags

New post 25 Jul 2010, 12:37
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:33) correct 24% (01:46) wrong based on 182 sessions

HideShow timer Statistics

At a certain school, each of the 150 students takes between 1 and 3 classes. The 3 classes available are Math, Chemistry and English. 53 students study math, 88 study chemistry and 58 study English. If 6 students take all 3 classes, how many take exactly 2 classes?

A. 37
B. 43
C. 45
D. 60
[Reveal] Spoiler: OA
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44668
Re: Sets!!!!!Cab anybody help me solve thi susing venn diagram? [#permalink]

Show Tags

New post 25 Jul 2010, 12:57
Expert's post
1
This post was
BOOKMARKED
amlan009 wrote:
At a certain school, each of the 150 students takes between 1 and 3 classes. The 3 classes available are Math, Chemistry and English. 53 students study math, 88 study chemistry and 58 study english. If 6 students take all 3 classes, how many take exactly 2 classes?
1.)37 2.)43 3.)45 4.)60

Any help in demystifying the above problems with venn diagram shall be highly appreciated ?


Total = {Math} + {Chemistry} + {English} - {# of students who take exactly 2 classes} - 2*{# of students who take exactly 3 classes} + {# of students who take none of 3 classes}

\(150=53+88+58-x-2*6+0\) --> \(x=37\).

Answer: A.

For more check: formulae-for-3-overlapping-sets-69014.html (there is my post in the end of the first page about the formulas of 3 overlapping sets with theory, diagrams and examples).


Hope it helps.
_________________

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

Expert Post
Founder
Founder
User avatar
V
Joined: 04 Dec 2002
Posts: 16811
Location: United States (WA)
GMAT 1: 750 Q49 V42
GMAT ToolKit User CAT Tests
Re: Sets!!!!!Cab anybody help me solve thi susing venn diagram? [#permalink]

Show Tags

New post 29 Jul 2010, 07:12
See this one too: how-to-draw-a-venn-diagram-for-problems-98036.html
_________________

Founder of GMAT Club

Just starting out with GMAT? Start here... or use our Daily Study Plan


Co-author of the GMAT Club tests

Expert Post
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2298
Re: At a certain school, each of the 150 students takes between [#permalink]

Show Tags

New post 11 Dec 2017, 11:28
amlan009 wrote:
At a certain school, each of the 150 students takes between 1 and 3 classes. The 3 classes available are Math, Chemistry and English. 53 students study math, 88 study chemistry and 58 study English. If 6 students take all 3 classes, how many take exactly 2 classes?

A. 37
B. 43
C. 45
D. 60


This is an overlapping sets question. We can use the following formula to determine how many students took exactly two classes:

Total students = # Math + # Chemistry + # English - # Exactly two classes - 2(# All three classes) + # None

150 = 53 + 88 + 58 - T - 2(6) + 0

150 = 199 - T - 12

150 = 187 - T

T = 37

Answer: A
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: At a certain school, each of the 150 students takes between   [#permalink] 11 Dec 2017, 11:28
Display posts from previous: Sort by

At a certain school, each of the 150 students takes between

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


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.