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:

78% (02:14) correct
22% (01:17) wrong based on 1379 sessions

HideShow timer Statistics

Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

(A) 15 (B) 17 (C) 20 (D) 25 (E) 30

Practice Questions Question: 25 Page: 155 Difficulty: 600

Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

(A) 15 (B) 17 (C) 20 (D) 25 (E) 30

The number of researchers assigned to Team A will be 0.40*50 = 20; The number of researchers assigned to Team B will be 0.60*50 = 30.

The number of researchers who prefer Team A will be 0.70*50 = 35; The number of researchers who prefer Team B will be 0.30*50 = 15.

Now, if ALL 20 spots in Team A, will be filled by the researchers who prefer Team A, then the remaining 15 researchers who prefer Tam A will be assigned to Team B (along with 15 researchers who DO prefer Team B).

Hence, the minimum number of researchers who will NOT be assigned to the team they prefer is 15.

Note that the row of "prefer A" should always tally to 35. That is why we know the balance is 15. Note that the row of "prefer B" should always tally to 15. That is why we know the balance is 0.

Now we sum up those who did not get what they want:

15 on those who prefer A did not get it 0 on those who prefer B did not get it.

Answer: 15

This chart works on all overlapping set problems...
_________________

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]

Show Tags

21 Aug 2012, 16:29

3

This post received KUDOS

1

This post was BOOKMARKED

This question would be tough if the wordings of the question are changed from minimum to maximum no of people.

Old Phrasing - What is the lowest possible number of researchers who will NOT be assigned to the team they prefer? = 15 people New Phrasing - What is the highest possible number of researchers who will NOT be assigned to the team they prefer? = 45 people

I hope these phrasings will help many people to understand the concept in totality
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS. Kudos always maximizes GMATCLUB worth-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]

Show Tags

23 Dec 2012, 06:59

1

This post received KUDOS

Sachin9 wrote:

Hi Bunuel,

How to solve this using Double set Matrix?

Regards, Sachin

Even if you use a double set matrix, it will be quite irrelevant as its slightly modified. But if you draw the matrix it will be clear what the question is asking you!

Attachments

File comment: matrix diagram

Og_prob.jpg [ 31.25 KiB | Viewed 15933 times ]

_________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan Kudos drives a person to better himself every single time. So Pls give it generously Wont give up till i hit a 700+

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]

Show Tags

20 Aug 2012, 06:33

IMO A

15 person prefer B and 30 will be assigned to Team B. All preference for Team B are fulfilled. 35 Person prefer A and only 20 will be assigned to Team A and rest 15 person will be forced to join team B. So (35-20)=15 will not get their preference.
_________________

Regards SD ----------------------------- Press Kudos if you like my post. Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]

Show Tags

22 Aug 2012, 07:19

fameatop wrote:

This question would be tough if the wordings of the question are changed from minimum to maximum no of people.

Old Phrasing - What is the lowest possible number of researchers who will NOT be assigned to the team they prefer? = 15 people New Phrasing - What is the highest possible number of researchers who will NOT be assigned to the team they prefer? = 45 people

I hope these phrasings will help many people to understand the concept in totality

Could you please explain how to work on the second question?
_________________

If you found my post useful and/or interesting - you are welcome to give kudos!

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]

Show Tags

23 Aug 2012, 09:48

Team A (20) Team B (30) Pref Team A (35), Team B (15) 20/35 => gets pref team A. 15/30 => gets pref team B That’s 20+15 getting pref team:15 Remaining - Answer
_________________

Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

(A) 15 (B) 17 (C) 20 (D) 25 (E) 30

The number of researchers assigned to Team A will be 0.40*50 = 20; The number of researchers assigned to Team B will be 0.60*50 = 30.

The number of researchers who prefer Team A will be 0.70*50 = 35; The number of researchers who prefer Team B will be 0.30*50 = 15.

Now, if ALL 20 spots in Team A, will be filled by the researchers who prefer Team A, then the remaining 15 researchers who prefer Tam A will be assigned to Team B (along with 15 researchers who DO prefer Team B).

Hence, the minimum number of researchers who will NOT be assigned to the team they prefer is 15.

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]

Show Tags

11 Sep 2012, 11:46

grignard wrote:

I think I sort of understand this one. Why does the question ask for "lowest#?" Will there be a big difference between lowest and highest?

Nice question...

what we have calculated is, atleast, 15 % people are those who has been assigned to the team which they didnt prefer, it may b more than that rite? like we dont know actually the people who has been assigned to teams are actually assigend to preferd team, it may b more than, but atleast 15% person, not less than that..

M i rite guyz??
_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]

Show Tags

20 Feb 2014, 13:23

I actually solved it using a different logic and got the right answer, however I might have just gotten lucky. Please if there is a mistake in my logic, let me know.

People assigned to team A = 20 People assigned to tean B = 30

35 People wanted team A. 15 people wanted team B.

I got the answer from team B. 30 - 15= 15 since there were 30 people and only 15 wanted to be there. so the rest did not.

Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

(A) 15 (B) 17 (C) 20 (D) 25 (E) 30

Practice Questions Question: 25 Page: 155 Difficulty: 600

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Team A..40% of 50 = 20 Team B..60% of 50 = remaining 30. but 70% of researcher prefer A i.e 35

so out of 35 only 20 ppl got allocated to preferred one hence 15 hasn't it would be the same story for ppl who preferred Team B as well.

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]

Show Tags

16 Nov 2014, 07:55

I solved it by assuming 100 people and then dividing my answer in two to save time on calculations. (percentage equals number of people) In that case 40 will be in team A 60 will be in team B

The larger diff is 70 want team A so diff is 70-40=30. At least 30 people will NOT get their wish, so for 50 researchers the same number is 15. Answer choice A

Re: Of the 50 researchers in a workgroup, 40 percent will be [#permalink]

Show Tags

01 Mar 2016, 14:51

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.
_________________

Hey, guys, So, I’ve decided to run a contest in hopes of getting the word about the site out to as many applicants as possible this application season...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...

Term 1 has begun. If you're confused, wondering what my post on the last 2 official weeks was, that was pre-term. What that means is that the school...