It is currently 22 Oct 2017, 05:06

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

How many attendees are at a convention if 150 of the attendees are

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 129248 [0], given: 12196

How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 22 Jan 2017, 04:13
Expert's post
6
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

74% (02:12) correct 26% (02:12) wrong based on 258 sessions

HideShow timer Statistics

How many attendees are at a convention if 150 of the attendees are neither female nor students, one-sixth of the attendees are female students, two-thirds of the attendees are female, and one-third of the attendees are students?

A. 300
B. 450
C. 600
D. 800
E. 900
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 129248 [0], given: 12196

1 KUDOS received
Senior Manager
Senior Manager
avatar
G
Status: Countdown Begins...
Joined: 03 Jul 2016
Posts: 290

Kudos [?]: 19 [1], given: 67

Location: India
Concentration: Technology, Strategy
Schools: IIMB
GMAT 1: 580 Q48 V22
GPA: 3.7
WE: Information Technology (Consulting)
Reviews Badge
Re: How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 22 Jan 2017, 04:45
1
This post received
KUDOS
Bunuel wrote:
How many attendees are at a convention if 150 of the attendees are neither female nor students, one-sixth of the attendees are female students, two-thirds of the attendees are female, and one-third of the attendees are students?

A. 300
B. 450
C. 600
D. 800
E. 900


Let total attendees be x.

Total Female attendees = 2x/3; Female Students = x/6; So Females which are not student are = x/2;
Total Attendees x; Total students = x/3; So Non students = 2x/3;

Females which are not students + Attendees which are neither females nor students = Total attendees which are not student.
x/2+150 = 2x/3;
x= 900

E.
_________________

Need Kudos to unlock GMAT Club tests

Kudos [?]: 19 [1], given: 67

Manager
Manager
User avatar
B
Status: In the realms of Chaos & Night
Joined: 13 Sep 2015
Posts: 171

Kudos [?]: 91 [0], given: 94

Re: How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 22 Jan 2017, 05:47
1
This post was
BOOKMARKED
Bunuel wrote:
How many attendees are at a convention if 150 of the attendees are neither female nor students, one-sixth of the attendees are female students, two-thirds of the attendees are female, and one-third of the attendees are students?

A. 300
B. 450
C. 600
D. 800
E. 900


Let x be the total number of attendees

___________| Student__| Not-student |____
Female ____|__x/6____|__________| 2x/3
Not-Female_|_________|____150___|_____
___________|__x/3____|__________| X

Now \(\frac{x}{6}\) (Not Female Student) + 150 = \(\frac{x}{3}\) (Not Female Attendees)
\(\frac{x}{6}\) = 150
x = 900
_________________

Good luck
=========================================================================================
"If a street performer makes you stop walking, you owe him a buck"
"If this post helps you on your GMAT journey, drop a +1 Kudo "


"Thursdays with Ron - Consolidated Verbal Master List - Updated"

Kudos [?]: 91 [0], given: 94

Manager
Manager
avatar
S
Joined: 03 Jan 2017
Posts: 197

Kudos [?]: 9 [0], given: 4

Re: How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 11 Mar 2017, 14:01
1
This post was
BOOKMARKED
try table:
2/3=1/6 + 3/6
3/6+150=2/3
150=1/6 of attendeees
150*6=900
Answer is E

Kudos [?]: 9 [0], given: 4

Senior Manager
Senior Manager
avatar
B
Joined: 06 Dec 2016
Posts: 256

Kudos [?]: 23 [0], given: 10

Re: How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 11 Mar 2017, 20:37
I did it this way and got the answer

P(FUS) = P(F) + P(S) - P(FNS)
x - 150 = 2/3x + 1/3x - 1/6x
x - 150 = 5/6x
x = 150(6)
x = 900

Therefore, answer is E.

Kudos [?]: 23 [0], given: 10

Manager
Manager
avatar
S
Joined: 08 Oct 2016
Posts: 191

Kudos [?]: 19 [0], given: 75

Location: United States
Concentration: General Management, Finance
GPA: 2.9
WE: Engineering (Telecommunications)
Re: How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 15 Apr 2017, 09:59
can anyone guide me from where should i go through concept of this question
I need basic foundation struggling in these type of questions
TIA
_________________

Got Q42,V17
Target#01 Q45,V20--April End

Kudos [?]: 19 [0], given: 75

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 129248 [1], given: 12196

Re: How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 15 Apr 2017, 10:03
1
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
ehsan090 wrote:
can anyone guide me from where should i go through concept of this question
I need basic foundation struggling in these type of questions
TIA



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

Kudos [?]: 129248 [1], given: 12196

Manager
Manager
avatar
S
Joined: 08 Oct 2016
Posts: 191

Kudos [?]: 19 [0], given: 75

Location: United States
Concentration: General Management, Finance
GPA: 2.9
WE: Engineering (Telecommunications)
Re: How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 15 Apr 2017, 23:01
Bunuel wrote:
ehsan090 wrote:
can anyone guide me from where should i go through concept of this question
I need basic foundation struggling in these type of questions
TIA



Hope it helps.


Thanks Bunuel you are always of Great help!!
_________________

Got Q42,V17
Target#01 Q45,V20--April End

Kudos [?]: 19 [0], given: 75

Manager
Manager
avatar
P
Joined: 14 Apr 2017
Posts: 243

Kudos [?]: 39 [0], given: 18

Location: India
sandeep : sharma
Concentration: International Business, Entrepreneurship
GPA: 3.9
Reviews Badge CAT Tests
How many attendees are at a convention if 150 of the attendees [#permalink]

Show Tags

New post 30 May 2017, 02:28
How many attendees are at a convention if 150 of the attendees are neither female nor students, one-sixth of the attendees are female students, two-thirds of the attendees are female, and one-third of the attendees are students?

a) 300

b) 450

c) 600

d) 800

e) 900
_________________

Thanks
71 tough IR questions218-ds-questions-for-practice
awa-ppt-the-best-resource-for-gmat
new-critical-reasoning-super-megathread-updated

Kudos [?]: 39 [0], given: 18

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 129248 [0], given: 12196

Re: How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 30 May 2017, 02:57
mbaaspirant80 wrote:
How many attendees are at a convention if 150 of the attendees are neither female nor students, one-sixth of the attendees are female students, two-thirds of the attendees are female, and one-third of the attendees are students?

a) 300

b) 450

c) 600

d) 800

e) 900


Merging topics. Please refer tot he discussion above.

Also, please search before posting. Thank you.
_________________

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

Kudos [?]: 129248 [0], given: 12196

Manager
Manager
avatar
P
Joined: 14 Apr 2017
Posts: 243

Kudos [?]: 39 [0], given: 18

Location: India
sandeep : sharma
Concentration: International Business, Entrepreneurship
GPA: 3.9
Reviews Badge CAT Tests
Re: How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 30 May 2017, 09:19
Bunuel wrote:
mbaaspirant80 wrote:
How many attendees are at a convention if 150 of the attendees are neither female nor students, one-sixth of the attendees are female students, two-thirds of the attendees are female, and one-third of the attendees are students?

a) 300

b) 450

c) 600

d) 800

e) 900


Merging topics. Please refer tot he discussion above.

Also, please search before posting. Thank you.

Hi Bunnel,
Thank you very much.
I searched before posting and I find one thread of GMATClub which was closed. :)
_________________

Thanks
71 tough IR questions218-ds-questions-for-practice
awa-ppt-the-best-resource-for-gmat
new-critical-reasoning-super-megathread-updated

Kudos [?]: 39 [0], given: 18

Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1648

Kudos [?]: 848 [1], given: 3

Location: United States (CA)
Re: How many attendees are at a convention if 150 of the attendees are [#permalink]

Show Tags

New post 01 Jun 2017, 10:13
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
How many attendees are at a convention if 150 of the attendees are neither female nor students, one-sixth of the attendees are female students, two-thirds of the attendees are female, and one-third of the attendees are students?

A. 300
B. 450
C. 600
D. 800
E. 900


We will use the overlapping sets formula, which is:

#(attendees) = #(female) + #(student) - #(both female and student) + #(neither female nor student).

Let’s denote the total number of attendees by x, i.e., #(attendees) = x.

Since 150 of the attendees are neither female nor student, #(neither female nor student) = 150.

Since 1/6 of the attendees are female students, #(both female and student) = (1/6)x.

Since 2/3 of the attendees are female, #(female) = (2/3)x.

Since 1/3 of the attendees are students, #(students) = (1/3)x.

Let’s plug in each of the above into the formula:

x = (2/3)x + (1/3)x - (1/6)x + 150

x = x - (1/6)x + 150

(1/6)x = 150

x = 900

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Kudos [?]: 848 [1], given: 3

Re: How many attendees are at a convention if 150 of the attendees are   [#permalink] 01 Jun 2017, 10:13
Display posts from previous: Sort by

How many attendees are at a convention if 150 of the attendees are

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


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®.