Last visit was: 21 Apr 2026, 19:16 It is currently 21 Apr 2026, 19:16
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
User avatar
gmatbull
Joined: 21 Dec 2009
Last visit: 04 Feb 2018
Posts: 332
Own Kudos:
2,745
 [2]
Given Kudos: 20
Concentration: Entrepreneurship, Finance
Posts: 332
Kudos: 2,745
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
umeshpatil
Joined: 31 May 2012
Last visit: 08 Dec 2015
Posts: 101
Own Kudos:
Given Kudos: 69
Posts: 101
Kudos: 436
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Carcass
User avatar
Board of Directors
Joined: 01 Sep 2010
Last visit: 20 Apr 2026
Posts: 4,711
Own Kudos:
Given Kudos: 4,925
Posts: 4,711
Kudos: 37,829
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
shanmugamgsn
Joined: 04 Oct 2011
Last visit: 31 Dec 2014
Posts: 140
Own Kudos:
Given Kudos: 44
Location: India
Concentration: Entrepreneurship, International Business
GMAT 1: 440 Q33 V13
GPA: 3
GMAT 1: 440 Q33 V13
Posts: 140
Kudos: 160
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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?
avatar
AlyoshaKaramazov
Joined: 25 Jun 2012
Last visit: 10 Jul 2015
Posts: 27
Own Kudos:
Given Kudos: 4
Posts: 27
Kudos: 71
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I disagree, I believe it is A, 2.

AnC- 15
BnC- 3
AnBnC- 2
B- 10
User avatar
priyamne
Joined: 24 Apr 2012
Last visit: 15 Feb 2014
Posts: 36
Own Kudos:
Given Kudos: 1
Posts: 36
Kudos: 54
Kudos
Add Kudos
Bookmarks
Bookmark this Post
[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).
avatar
dpulavarthi
Joined: 28 Aug 2012
Last visit: 07 Mar 2015
Posts: 41
Own Kudos:
Concentration: Social Entrepreneurship
Posts: 41
Kudos: 10
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi,

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

Thank you
User avatar
PiyushK
Joined: 22 Mar 2013
Last visit: 31 Aug 2025
Posts: 588
Own Kudos:
Given Kudos: 235
Status:Everyone is a leader. Just stop listening to others.
Location: India
GPA: 3.51
WE:Information Technology (Computer Software)
Products:
Posts: 588
Kudos: 5,053
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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 4968 times ]
User avatar
PiyushK
Joined: 22 Mar 2013
Last visit: 31 Aug 2025
Posts: 588
Own Kudos:
Given Kudos: 235
Status:Everyone is a leader. Just stop listening to others.
Location: India
GPA: 3.51
WE:Information Technology (Computer Software)
Products:
Posts: 588
Kudos: 5,053
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is it a GMAT level question?
User avatar
galiya
Joined: 16 Jan 2011
Last visit: 08 Jan 2018
Posts: 72
Own Kudos:
Given Kudos: 15
Posts: 72
Kudos: 881
Kudos
Add Kudos
Bookmarks
Bookmark this Post
PiyushK
what is your method? i"ve never seen anything like this?
User avatar
aks456
Joined: 20 Jul 2012
Last visit: 18 Aug 2016
Posts: 88
Own Kudos:
Given Kudos: 559
Location: India
WE:Information Technology (Computer Software)
Posts: 88
Kudos: 157
Kudos
Add Kudos
Bookmarks
Bookmark this Post
What is the answer?
User avatar
PiyushK
Joined: 22 Mar 2013
Last visit: 31 Aug 2025
Posts: 588
Own Kudos:
Given Kudos: 235
Status:Everyone is a leader. Just stop listening to others.
Location: India
GPA: 3.51
WE:Information Technology (Computer Software)
Products:
Posts: 588
Kudos: 5,053
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Galiya
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.
avatar
PareshGmat
Joined: 27 Dec 2012
Last visit: 10 Jul 2016
Posts: 1,531
Own Kudos:
Given Kudos: 193
Status:The Best Or Nothing
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Posts: 1,531
Kudos: 8,270
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is this a GMAT question? Can someone please clarify?
User avatar
PiyushK
Joined: 22 Mar 2013
Last visit: 31 Aug 2025
Posts: 588
Own Kudos:
Given Kudos: 235
Status:Everyone is a leader. Just stop listening to others.
Location: India
GPA: 3.51
WE:Information Technology (Computer Software)
Products:
Posts: 588
Kudos: 5,053
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Math Expert
109728 posts