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:

Re: At a business school conference with 100 attendees, are ther [#permalink]

Show Tags

23 Nov 2011, 00:22

enigma123 wrote:

At a business school conference with 100 attendees, are there any students of the same age (rounded to the nearest year) who attend the same school? (1) The range of ages of the participants is 22 to 30, inclusive (2) Participants represent 10 business schools.

For me its clearcut A. Can someone please let me know if you think it not correct? OA is not provided unfortunately.

I believe the answer should be C.

S1: Only the range of age is given. But there may be 100 different or only 1/2 colleges. In that case the answer in insufficient. S1: Only #of B schools are given.We don't have the range of age. Insufficient

S1+S2 = we have all the data. Sufficient. hence IMO D.

At a business school conference with 100 attendees, are there any students of the same age (rounded to the nearest year) who attend the same school? (1) The range of ages of the participants is 22 to 30, inclusive (2) Participants represent 10 business schools.

For me its clearcut A. Can someone please let me know if you think it not correct? OA is not provided unfortunately.

It's not A, because you don't know how many schools are represented. It might be that each of the 100 students if from a different school, in which case the answer is 'no', or they may all be from the same school, in which case the answer is 'yes'. Similarly Statement 2 is not sufficient, because we don't know how many ages are represented.

Using both Statements, we know that there are only 10 schools at the conference, and only 9 different ages (from 22 to 30 inclusive). Certainly it's possible that there are two, say, 28 year-olds from the same school, so the answer can be 'yes'. Can the answer be 'no'? Then we'd need every person of the same age to attend a different school. That means we could have at most ten 22 year olds, at most ten 23 year olds, and so on, and so at most 9*10 = 90 people. But we have 100 people, so it's impossible that the answer is 'no', and there must be at least two people of the same age at the same school, and the answer is C.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Re: At a business school conference with 100 attendees, are ther [#permalink]

Show Tags

09 Aug 2014, 10:41

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

At a business school conference with 100 attendees, are there any students of the same age (rounded to the nearest year) who attend the same school?

(1) The range of ages of the participants is 22 to 30, inclusive (2) Participants represent 10 business schools.

For me its clearcut A. Can someone please let me know if you think it not correct? OA is not provided unfortunately.

Responding to a pm:

Here is how you can think:

(1) The range of ages of the participants is 22 to 30, inclusive There could be 100 schools represented by 100 students so no two students will have the same age-school combination. All students could be from the same school so there would be multiple same age-school combinations. Not sufficient.

(2) Participants represent 10 business schools. The age of the students could range from 20 to 80 so we may or may not have the same age-school combinations. Not sufficient.

Now let's consider both statements: Ages are 22, 23 ...30 - 9 different figures Schools are A, B, C,..., J - 10 different schools

How many unique age school combinations can we make? A22, A23, ... A30, B22, B23, ..., J22, J23, ...J30 A total of 9*10 = 90 combinations. So we can have 90 unique age-school combinations for 90 students. Now what about the remaining 10? They must also have age between 22 to 30 and must represent schools A to J. So say for the 91st student, we pick age 25 and school C. But note that we already have a student C25 since we accounted for all combinations in our 90 combinations. So the rest of the 10 students will need to repeat the age-school combination. Hence there must be students (at least 10) who have the same age and represent the same school.

Re: At a business school conference with 100 attendees, are ther [#permalink]

Show Tags

23 Aug 2015, 08:14

1

This post received KUDOS

Statement 1: Not sufficient It doesn't mention the number of schools which had their students participate in the conference.

Statement 2: Not sufficient We don't know the range of the age of the students attending the conference. There can be only one student from the participating colleges or 100 students from the same college.

Together: Sufficient Range: 22-30 = 9 age group Number of participating schools: 10 Total number of students attending the conference: 100 Min number of students from each age group: 9*10 = 90 Therefore, there has to be at least one repeatation (actually 10 repeatation) in the age group.

Note: Statement 1 can be mistaken to be the answer if we don't read the last few words of the question ("who attend the same school"). Happened with me :D

Re: At a business school conference with 100 attendees, are ther [#permalink]

Show Tags

14 Jun 2016, 03:40

hard one.

look at both 1 and 2.

there are at least 10 student in one business school there are at most 9 ages. so if 10 student are different most, at least 2 student have the same age.

C
_________________

visit my facebook to help me. on facebook, my name is: thang thang thang

Re: At a business school conference with 100 attendees, are ther [#permalink]

Show Tags

03 Apr 2017, 06:41

(rounded to the nearest year) what is the importance of this part in the question? I thought like 21 years 6 months would become 22 years... so we have range from 21 years to 30 years

(rounded to the nearest year) what is the importance of this part in the question? I thought like 21 years 6 months would become 22 years... so we have range from 21 years to 30 years

You are given that range of ages is 22 to 30. So you do not have a 21 year (after rounding) old. So there is no one whose age is 21 years and 3 months or 20 years and 8 months etc. You might have a 21 year 7 months old (something that will get rounded to 22 years).
_________________