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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

30 people were invited to a dinner party. If 17 of the guest [#permalink]

Show Tags

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% (02:01) correct 0% (00:00) wrong based on 8 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.
_________________

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.

Re: 30 people were invited to a dinner party [#permalink]

Show Tags

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.

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink]

Show Tags

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).
_________________

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink]

Show Tags

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 [ 18.54 KiB | Viewed 1539 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.

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink]

Show Tags

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".

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink]

Show Tags

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".

Re: 30 people were invited to a dinner party. If 17 of the guest [#permalink]

Show Tags

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".