Last visit was: 15 Nov 2024, 13:40 It is currently 15 Nov 2024, 13:40
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Of the 200 seniors at Monroe High School, exactly 40 are in

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 29961
Own Kudos [?]: 36234 [2]
Given Kudos: 25909
Send PM
Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink] New post   23 Jan 2019, 16:14
1
Expert Reply
1
Bookmarks
00:00

Question Stats:

94% (00:47) correct 5% (00:48) wrong based on 103 sessions

Hide Show timer Statistics

Of the 200 seniors at Monroe High School, exactly 40 are in the band, 60 are in the orchestra, and 10 are in both. How many seniors are in neither the band nor the orchestra?

Show: :: OA
110
avatar
ARIJOSHI
Intern
Intern
Joined: 07 Jan 2019
Posts: 38
Own Kudos [?]: 43 [4]
Given Kudos: 0
Send PM
Re: Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink] New post   27 Jan 2019, 07:29
4
Solution,

Total number of seniors = 200

Number of seniors that are in band only = 40-10 = 30

Number of seniors that are in orchestra only = 60 - 10 = 50

Number of seniors that are in both = 10

Number of seniors that are in neither the band nor the orchestra = 200 - 30 - 50 - 10

= 200 - 90

= 110
avatar
AlaminMolla
Manager
Manager
Joined: 22 May 2019
Posts: 58
Own Kudos [?]: 51 [2]
Given Kudos: 0
Send PM
Re: Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink] New post   12 Jun 2019, 08:08
2
200 = 40+60 - 10 +Neither
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12189 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink] New post   13 Jun 2019, 05:46
2
Carcass wrote:
Of the 200 seniors at Monroe High School, exactly 40 are in the band, 60 are in the orchestra, and 10 are in both. How many seniors are in neither the band nor the orchestra?

Show: :: OA
110


Let's use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions)..

Here, we have a population of seniors, and the two characteristics are:
- in band or not in band
- in orchestra or not in orchestra

From the given information, we can set up our matrix as follows:
Attachment:
Of the 200 seniors at Monroe High School, exactly 40 are in the band1.png
Of the 200 seniors at Monroe High School, exactly 40 are in the band1.png [ 4.72 KiB | Viewed 9788 times ]




Since there are 200 students in total, we can add some additional values:
Attachment:
Of the 200 seniors at Monroe High School, exactly 40 are in the band2.png
Of the 200 seniors at Monroe High School, exactly 40 are in the band2.png [ 5.49 KiB | Viewed 9813 times ]



Now complete the matrix:
Attachment:
Of the 200 seniors at Monroe High School, exactly 40 are in the band3.png
Of the 200 seniors at Monroe High School, exactly 40 are in the band3.png [ 6.16 KiB | Viewed 9804 times ]


Answer: There are 110 seniors who are in neither the band nor the orchestra

This question type is COMMON on the GRE, so be sure to master the technique.

RELATED VIDEO
avatar
williamchambers
Intern
Intern
Joined: 15 Mar 2019
Posts: 4
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Re: Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink] New post   29 Jun 2020, 04:59
110
avatar
B
Chaithraln2499
Manager
Manager
Joined: 11 Jan 2022
Posts: 72
Own Kudos [?]: 11 [0]
Given Kudos: 437
Send PM
Re: Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink] New post   30 Jan 2022, 06:54
I took "exactly 40" as only 40 in Band & not orchestra, hence I got a different answer. The question should have explicitly mentioned that point right?

GreenlightTestPrep wrote:
Carcass wrote:
Of the 200 seniors at Monroe High School, exactly 40 are in the band, 60 are in the orchestra, and 10 are in both. How many seniors are in neither the band nor the orchestra?

Show: :: OA
110


Let's use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions)..

Here, we have a population of seniors, and the two characteristics are:
- in band or not in band
- in orchestra or not in orchestra

From the given information, we can set up our matrix as follows:
Attachment:
Of the 200 seniors at Monroe High School, exactly 40 are in the band1.png




Since there are 200 students in total, we can add some additional values:
Attachment:
Of the 200 seniors at Monroe High School, exactly 40 are in the band2.png



Now complete the matrix:
Attachment:
Of the 200 seniors at Monroe High School, exactly 40 are in the band3.png


Answer: There are 110 seniors who are in neither the band nor the orchestra

This question type is COMMON on the GRE, so be sure to master the technique.

RELATED VIDEO
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12189 [1]
Given Kudos: 136
Send PM

Top Member of the Month
Re: Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink] New post   30 Jan 2022, 07:05
1
Chaithraln2499 wrote:
I took "exactly 40" as only 40 in Band & not orchestra, hence I got a different answer. The question should have explicitly mentioned that point right?


I think the wording is consistent with official GRE questions.
For example:
- https://gre.myprepclub.com/forum/in-a-grad ... -1815.html
- https://gre.myprepclub.com/forum/set-a-has ... -2337.html
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5014
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink] New post   09 Jun 2024, 14:15
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
gmatclubot
Re: Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink]
09 Jun 2024, 14:15
Moderators:
adewale223
GRE Instructor
78 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact