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

It is currently 11 Dec 2019, 17:11

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

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

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
avatar
Joined: 21 Dec 2009
Posts: 455
Concentration: Entrepreneurship, Finance
30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post Updated on: 09 Dec 2012, 06:15
1
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (02:01) correct 0% (00:00) wrong based on 10 sessions

HideShow timer Statistics

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.

Originally posted by gmatbull on 09 Dec 2012, 03:34.
Last edited by Bunuel on 09 Dec 2012, 06:15, edited 2 times in total.
Renamed the topic and edited the question.
Manager
Manager
User avatar
Joined: 31 May 2012
Posts: 108
Re: 30 people were invited to a dinner party  [#permalink]

Show Tags

New post 09 Dec 2012, 05:26
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 2641 times ]

Board of Directors
User avatar
D
Joined: 01 Sep 2010
Posts: 3416
Re: 30 people were invited to a dinner party  [#permalink]

Show Tags

New post 09 Dec 2012, 06:06
Manager
Manager
User avatar
Joined: 04 Oct 2011
Posts: 167
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 440 Q33 V13
GPA: 3
Re: 30 people were invited to a dinner party  [#permalink]

Show Tags

New post 09 Dec 2012, 08:54
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?
Intern
Intern
avatar
Joined: 25 Jun 2012
Posts: 29
Re: 30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post 10 Dec 2012, 21:26
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: 44
Re: 30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post 11 Dec 2012, 05:39
[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).
Intern
Intern
avatar
Joined: 28 Aug 2012
Posts: 41
Concentration: Social Entrepreneurship
Re: 30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post 11 Dec 2012, 18:26
Hi,

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

Thank you
Director
Director
User avatar
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 699
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Reviews Badge
Re: 30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post Updated on: 14 Aug 2013, 23:47
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 2008 times ]

Originally posted by PiyushK on 14 Aug 2013, 23:36.
Last edited by PiyushK on 14 Aug 2013, 23:47, edited 2 times in total.
Director
Director
User avatar
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 699
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Reviews Badge
Re: 30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post 14 Aug 2013, 23:39
Is it a GMAT level question?
Manager
Manager
User avatar
B
Joined: 16 Jan 2011
Posts: 89
Re: 30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post 15 Aug 2013, 11:33
PiyushK
what is your method? i"ve never seen anything like this?
Manager
Manager
User avatar
Joined: 20 Jul 2012
Posts: 111
Location: India
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: 30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post 15 Aug 2013, 23:08
What is the answer?
_________________
Preparing for another shot...
Director
Director
User avatar
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 699
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Reviews Badge
Re: 30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post 19 Aug 2013, 16:44
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.
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1727
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: 30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post 28 Nov 2013, 01:53
Is this a GMAT question? Can someone please clarify?
Director
Director
User avatar
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 699
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Reviews Badge
Re: 30 people were invited to a dinner party. If 17 of the guest  [#permalink]

Show Tags

New post 28 Nov 2013, 02:00
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.
GMAT Club Bot
Re: 30 people were invited to a dinner party. If 17 of the guest   [#permalink] 28 Nov 2013, 02:00
Display posts from previous: Sort by

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

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne