Find all School-related info fast with the new School-Specific MBA Forum

It is currently 25 Oct 2014, 04:40

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

30 people were invited to a dinner party. If 17 of the guest

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Director
Director
avatar
Joined: 21 Dec 2009
Posts: 589
Concentration: Entrepreneurship, Finance
Followers: 15

Kudos [?]: 292 [1] , given: 20

30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 09 Dec 2012, 02:34
1
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (03:01) correct 0% (00:00) wrong based on 7 sessions
Q1:
30 people were invited to a dinner party. If 17 of the guests fed on meal A, 15 on meal B, and 20 on meal C, what is the least number of people that could feed on all three meals?

A. 2
B. 3
C. 5
D. 6
E. 8

Q2 (related to Q1, with same options):
Supposing meal A=25, meal B=21, and meal C=20, but still with 30 total people. What is the minimum number of
people who eat all three meals?

A.2 B.3 C.5 D.6 E. 8

What are the specific clue to take rather than simply picking the smallest of the numbers in the option?
Kindly elaborate on ur strategy.
_________________

KUDOS me if you feel my contribution has helped you.


Last edited by Bunuel on 09 Dec 2012, 05:15, edited 2 times in total.
Renamed the topic and edited the question.
Manager
Manager
User avatar
Joined: 31 May 2012
Posts: 166
Followers: 4

Kudos [?]: 70 [0], given: 69

CAT Tests
Re: 30 people were invited to a dinner party [#permalink] New post 09 Dec 2012, 04:26
You can simplify the problem by considering below scenario.
"30 people, invited to a dinner party. Inviter has three different types of meal pases- A, B, C. He is going to distribute these in such that no one gets multiple passes of same type and least number of get all three passes."

In this question, answer is whatever number that is surplus of 60 i.e. (30 X 2).

Q 1) People=30
A= 17
B= 15
C= 20
Answer is 0. but to chose the least option in the given choices, I would choose 2 i.e. option A.

Q 2) People =30
A= 25
B=21
C=20
least number of people, who get 3 passes=
= (25+21+20)- 60
= 6
Answer is 6. Option D.


Below is one more similar analogy that will help to understand the problems.
There are 30 boxes placed in a row. You have three types of marbles- A, B & C. You are told place such that, no box hold 2 marbles of same type and least number of boxes should hold all types of marbles.

Consider below image of puts and marbles places inside.
Attachments

File comment: Analogy of marbles for the question.
answer.JPG
answer.JPG [ 43.41 KiB | Viewed 1536 times ]

Expert Post
Moderator
Moderator
User avatar
Joined: 01 Sep 2010
Posts: 2445
Followers: 312

Kudos [?]: 2622 [0], given: 697

Re: 30 people were invited to a dinner party [#permalink] New post 09 Dec 2012, 05:06
Expert's post
Manager
Manager
User avatar
Joined: 04 Oct 2011
Posts: 225
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 440 Q33 V13
GMAT 2: 0 Q0 V0
GPA: 3
Followers: 0

Kudos [?]: 27 [0], given: 44

Re: 30 people were invited to a dinner party [#permalink] New post 09 Dec 2012, 07:54
Hi umeshpatil

Q 2) People =30
A= 25
B=21
C=20
least number of people, who get 3 passes=
= (25+21+20)- 60
= 6
Answer is 6. Option D.


Can you explain this part ?
I didnt get this how u got 6?
_________________

GMAT - Practice, Patience, Persistence
Kudos if u like :)

Intern
Intern
avatar
Joined: 25 Jun 2012
Posts: 36
Followers: 0

Kudos [?]: 25 [0], given: 4

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 10 Dec 2012, 20:26
I disagree, I believe it is A, 2.

AnC- 15
BnC- 3
AnBnC- 2
B- 10
Intern
Intern
User avatar
Joined: 24 Apr 2012
Posts: 48
Followers: 0

Kudos [?]: 15 [0], given: 1

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 11 Dec 2012, 04:39
[quote="gmatbull"]Q1:
30 people were invited to a dinner party. If 17 of the guests fed on meal A, 15 on meal B, and 20 on meal C, what is the least number of people that could feed on all three meals?

A. 2
B. 3
C. 5
D. 6
E. 8

Ans. We calculate people having only meal A , only meal B , only meal C and add them to 30. Then from the options the number giving us the least integer value is 2. Therefore the answer is (A).
_________________

www.mnemoniceducation.com

TURN ON YOUR MINDS!!!

Intern
Intern
avatar
Joined: 28 Aug 2012
Posts: 41
Concentration: Social Entrepreneurship
Followers: 0

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

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 11 Dec 2012, 17:26
Hi,

How do you calculate the number of people who ate only meal A or meal B or meal C?

Thank you
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Status: Tomorrow will be a new day...
Joined: 22 Mar 2013
Posts: 943
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Followers: 44

Kudos [?]: 413 [0], given: 210

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 14 Aug 2013, 22:36
I think zero.

If we feed more than 23 in third group then only overlapping will occur in all three.

Attachment:
Solution1I.jpg
Solution1I.jpg [ 18.54 KiB | Viewed 910 times ]

_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos :)
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".


Last edited by PiyushK on 14 Aug 2013, 22:47, edited 2 times in total.
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Status: Tomorrow will be a new day...
Joined: 22 Mar 2013
Posts: 943
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Followers: 44

Kudos [?]: 413 [0], given: 210

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 14 Aug 2013, 22:39
Is it a GMAT level question?
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos :)
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Manager
Manager
User avatar
Joined: 15 Jan 2011
Posts: 107
Followers: 8

Kudos [?]: 42 [0], given: 13

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 15 Aug 2013, 10:33
PiyushK
what is your method? i"ve never seen anything like this?
Manager
Manager
User avatar
Joined: 20 Jul 2012
Posts: 140
Location: India
WE: Information Technology (Computer Software)
Followers: 1

Kudos [?]: 4 [0], given: 318

GMAT ToolKit User CAT Tests
Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 15 Aug 2013, 22:08
What is the answer?
_________________

Preparing for another shot...

Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Status: Tomorrow will be a new day...
Joined: 22 Mar 2013
Posts: 943
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Followers: 44

Kudos [?]: 413 [0], given: 210

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 19 Aug 2013, 15:44
Galiya wrote:
PiyushK
what is your method? i"ve never seen anything like this?


Hi Galiya,

This method is same as described above by umeshpatil, I am fixing the position of 30 people and distributing resources in descending order like 20-17-15, like first meal C from left to right 10 people left, then Meal A from right to left 13 people left on the right side, then distribution of meal B to first those who got only one meal to minimize chances of overlapping of three meals to a single person.

Thus in the diagram you can see we are short of 8+ meals to get a person who can have all three meals.

Therefore, the least number of people is zero, from answer choices we can select 2 bcz that is the least option :) available.

I hope explanation clarifies the method.
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos :)
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

VP
VP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1088
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 6

Kudos [?]: 308 [0], given: 170

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 28 Nov 2013, 00:53
Is this a GMAT question? Can someone please clarify?
_________________

Kindly press "+1 Kudos" to appreciate :)

Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Status: Tomorrow will be a new day...
Joined: 22 Mar 2013
Posts: 943
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Followers: 44

Kudos [?]: 413 [0], given: 210

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink] New post 28 Nov 2013, 01:00
I think this question is a brain twister, and it can help you to develop a thought process, which you can further use in various other solutions.
Yes it is not a GMAT type question, but I liked it.
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos :)
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Re: 30 people were invited to a dinner party. If 17 of the guest   [#permalink] 28 Nov 2013, 01:00
    Similar topics Author Replies Last post
Similar
Topics:
Of all the attendees at a dinner party, 40% were women. If enigma123 0 11 Sep 2014, 09:08
12 Of all the attendees at a dinner party, 40% were women. If mm007 19 20 Dec 2006, 13:03
Of all the attendees at a dinner party, 40% were women. If ggarr 1 17 Nov 2006, 14:35
Of all the attendees at a dinner party, 40% were women. If kidderek 3 14 Nov 2006, 13:03
Carla is having a dinner party and is inviting 5 guests, 3 acid_burn 12 19 Sep 2005, 13:51
Display posts from previous: Sort by

30 people were invited to a dinner party. If 17 of the guest

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.