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 350,000 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:

Of the 84 parents who attended a meeting at a school, 35 [#permalink]
02 Jul 2012, 01:18

Expert's post

8

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

69% (03:24) correct
31% (02:52) wrong based on 494 sessions

Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

(A) 25 (B) 36 (C) 38 (D) 42 (E) 45

Diagnostic Test Question: 14 Page: 22 Difficulty: 650

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
02 Jul 2012, 01:19

1

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

SOLUTION

Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

(A) 25 (B) 36 (C) 38 (D) 42 (E) 45

Look at the matrix below:

Notice that numbers in black are given and in red are calculated. We need the value of yellow box: \(1.5x+(24+x)=84\) --> \(x=24\) --> \(1.5x=36\).

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
02 Jul 2012, 02:11

1

This post was BOOKMARKED

Total = 84 who volunteered for picnic = 35 who volunteered for picnic & refr = 11 then -who opt picnic but not refreshmnt = 24 the no. of parents who didnt volunteer for picnic and refesh = x the no. who volunteer for refreshmnt = 1.5 x

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
02 Jul 2012, 02:37

1

This post received KUDOS

1

This post was BOOKMARKED

Quote:

Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

(A) 25 (B) 36 (C) 38 (D) 42 (E) 45

Hi,

Difficulty level: 600

let, number of parents who neither bring refreshment nor supervise = x

Attachment:

venn2.jpg [ 11.03 KiB | Viewed 5987 times ]

then, 35-11+1.5x+x=84 x = 24 or Parents who bring refreshment = 1.5x = 36

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
06 Jul 2012, 02:05

Expert's post

SOLUTION

Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

(A) 25 (B) 36 (C) 38 (D) 42 (E) 45

Look at the matrix below:

Attachment:

OG.PNG [ 5.62 KiB | Viewed 5992 times ]

Notice that numbers in black are given and in red are calculated. We need the value of yellow box: \(1.5x+(24+x)=84\) --> \(x=24\) --> \(1.5x=36\).

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
22 Jun 2014, 06:16

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. _________________

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
09 Jul 2014, 08:33

kashishh wrote:

Total = 84 who volunteered for picnic = 35 who volunteered for picnic & refr = 11 then -who opt picnic but not refreshmnt = 24 the no. of parents who didnt volunteer for picnic and refesh = x the no. who volunteer for refreshmnt = 1.5 x

1.5x + 24 = 35 x= 24 1.5x = 36

Answer B

Hi the no. who volunteer for refreshmnt = 1.5 x but no. who did refreshment but not picnic = 1.5x- 11????? why we don't apply this step just like we did for picnic numbers??? Please explain...

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
09 Jul 2014, 17:33

GGMAT760 wrote:

kashishh wrote:

Total = 84 who volunteered for picnic = 35 who volunteered for picnic & refr = 11 then -who opt picnic but not refreshmnt = 24 the no. of parents who didnt volunteer for picnic and refesh = x the no. who volunteer for refreshmnt = 1.5 x

1.5x + 24 = 35 x= 24 1.5x = 36

Answer B

Hi the no. who volunteer for refreshmnt = 1.5 x but no. who did refreshment but not picnic = 1.5x- 11????? why we don't apply this step just like we did for picnic numbers??? Please explain...

Thanks in advance

Hope I got the question right

11 (who volunteered for picnic & refr) is common in both. So it has to be subtracted from ANY ONE _________________

Of the 84 parents who attended a meeting at a school, 35 volunte [#permalink]
26 Jan 2015, 04:05

I find the best way to do these types of problems is to create a table and fill in the information

Refreshments No Refreshments Total Supervise 11 24 35 No supervise x Total 1.5x 84

I figured out the 24, by the fact that the number who volunteered to do both was 11 and the total number who volunteered to supervise children was 35, so the number who volunteered to only supervise children was 24.

from this chart, we know that 84-1.5x=24+x Therefore, 60=2.5x and x equals 24

However, we are looking for the total number of parents who volunteered to bring refreshments, which is 1.5x or 36 (B) _________________

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
26 Jan 2015, 11:49

Expert's post

Hi All,

This is an example of a modified Overlapping Sets question. While it's wordy, it's based on simple Arithmetic and little bit of Algebra, so it's not inherently a high-level question. You can see from the thread that there are several different ways to approach it and none are really all that complicated (it's more a matter of how you organize the information than anything else). There was a comment about how it couldn't be a 750-level question and that's true. It's not.

While just about everyone sees at least one Overlapping Sets question on Test Day, the adaptive nature of GMAC's scoring algorithm means that the version that YOU see might come with a "quirk" or a "twist" (depending on when it shows up and how well you're performing). The basic organizational approaches are the same though (and the Tic-Tac-Toe Board tends to best handle all of the variations, so it's worth practicing).

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
06 May 2015, 18:28

This question is confusing me so if anyone could explain in detail I would really appreciate it. I don't understand why it isn't solved the same way as practice question 6... in that question you had Brand A + Brand B + both brands + neither brands = 200 and the answer was 15... on this question though, it is leaving out AND part (11) out of the results. Why isn't it 24 + 1.5x + 11 + × = 84?!?!

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
07 May 2015, 00:38

danepenell wrote:

This question is confusing me so if anyone could explain in detail I would really appreciate it. I don't understand why it isn't solved the same way as practice question 6... in that question you had Brand A + Brand B + both brands + neither brands = 200 and the answer was 15... on this question though, it is leaving out AND part (11) out of the results. Why isn't it 24 + 1.5x + 11 + × = 84?!?!

Hi danepenell

Please post practice question 6 (or the link for it) here and I'll be happy to help with your doubt.

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
07 May 2015, 01:44

Expert's post

danepenell wrote:

This question is confusing me so if anyone could explain in detail I would really appreciate it. I don't understand why it isn't solved the same way as practice question 6... in that question you had Brand A + Brand B + both brands + neither brands = 200 and the answer was 15... on this question though, it is leaving out AND part (11) out of the results. Why isn't it 24 + 1.5x + 11 + × = 84?!?!

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]
07 May 2015, 09:32

Expert's post

1

This post was BOOKMARKED

danepenell wrote:

This question is confusing me so if anyone could explain in detail I would really appreciate it. I don't understand why it isn't solved the same way as practice question 6... in that question you had Brand A + Brand B + both brands + neither brands = 200 and the answer was 15... on this question though, it is leaving out AND part (11) out of the results. Why isn't it 24 + 1.5x + 11 + × = 84?!?!

The underlying concept behind both the questions is the same. However, there is slight change in the way the information has been provided. Let me explain with a venn diagram.

In the questions with two overlapping sets a + b + c + d = Total no. of objects. In both the questions, the same concept has been used.

However there is a difference between the way information has been provided. Let's see how.

In this question let's assume group 1 = parents who volunteer to supervise children and group 2 =parents who bring refreshements

The question gives us the value of no. of parents who volunteer to supervise children = 35. Please note that this includes parents who only supervise children as well as parents who supervise children and bring refreshments both. So, a + b = 35. Also, parents who volunteer to supervise children as well as bring refreshment = b = 11. So, we can write the value of a = 24.

Since we are also told that no. of parents who volunteered to bring refreshment is 1.5 times the no. of parents who neither volunteered to supervise children nor bring refreshment, we can write b + c = 1.5d. Note here that parents who volunteered to bring refreshments include parents who only bring refreshments as well as parents who bring refreshments and supervise children both.

Since a + b + c + d = Total number of parents = 84, we can write 24 + (b + c) + d = 84. Since b + c = 1.5d, 24 + 2.5d = 84 which gives us the value of d = 24 and hence b + c = 1.5*24 = 36.

For every set question, please keep an eye on the use of word "Only". In this case the question asked the number of parents who volunteered to bring refreshments which also included parents who volunteered to supervise the children as well as bring refreshments.

In practice question no. 6, note the use of word "Only". The question there uses the term extensively to segregate the users of the brands. For your reference, in Q6 we can write the value of a = 60, b = x, c = 3x and d = 80 assuming group 1 as users of brand A and group 2 as users of brand B.

Hope its clear! Let me know if you still have trouble at any point of the explanation.

Of the 84 parents who attended a meeting at a school, 35 [#permalink]
02 Jun 2015, 08:26

Expert's post

Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic.If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

Let's say that a = supervise group, b = supervise and refreshment group c = neither a + b + c = 84 b = ?

a is 35 - 11 = 24 (We subtract so as not to double count those who volunteered for both) 24 + b + c = 84 => b + c = 60 => c = 60 - b

We're told that b = 1.5c. You can substitute for c. b = 1.5 (60-b) => 90 - 1.5b 2.5b = 90 b = 36

A) 25 B) 36 C) 38 D) 42 E) 45 _________________

Janielle Williams Customer Support | Optimus Prep

gmatclubot

Of the 84 parents who attended a meeting at a school, 35
[#permalink]
02 Jun 2015, 08:26

On September 6, 2015, I started my MBA journey at London Business School. I took some pictures on my way from the airport to school, and uploaded them on...

When I was growing up, I read a story about a piccolo player. A master orchestra conductor came to town and he decided to practice with the largest orchestra...

Amy Cuddy, Harvard Business School professor, at TED Not all leadership looks the same; there is no prescribed formula for what makes a good leader. Rudi Gassner believed that...

We are thrilled to welcome the Class of 2017 to campus today, and data from the incoming class of students indicates that Kellogg’s community is about to reach a...