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Of the 200 seniors at Monroe High School, exactly 40 are in
[#permalink]
23 Jan 2019, 16:14
23 Jan 2019, 16:14
1
Expert Reply
00:00
Question Stats:
94% (00:46) correct
5% (00:46) wrong based on 88 sessions
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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
_________________
Re: Of the 200 seniors at Monroe High School, exactly 40 are in
[#permalink]
27 Jan 2019, 07:29
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
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
Re: Of the 200 seniors at Monroe High School, exactly 40 are in
[#permalink]
12 Jun 2019, 08:08
12 Jun 2019, 08:08
2
200 = 40+60 - 10 +Neither
Of the 200 seniors at Monroe High School, exactly 40 are in
[#permalink]
13 Jun 2019, 05:46
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 [ 4.72 KiB | Viewed 8726 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 [ 5.49 KiB | Viewed 8750 times ]
Now complete the matrix:
Attachment:
Of the 200 seniors at Monroe High School, exactly 40 are in the band3.png [ 6.16 KiB | Viewed 8736 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
_________________
Re: Of the 200 seniors at Monroe High School, exactly 40 are in
[#permalink]
30 Jan 2022, 06:54
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?
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:
Since there are 200 students in total, we can add some additional values:
Now complete the matrix:
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
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
Re: Of the 200 seniors at Monroe High School, exactly 40 are in
[#permalink]
30 Jan 2022, 07:05
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
_________________
Re: Of the 200 seniors at Monroe High School, exactly 40 are in
[#permalink]
05 Jun 2023, 23:08
05 Jun 2023, 23:08
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).
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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.
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