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.

Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink]
23 Jan 2019, 16:14

Expert's post

00:00

Question Stats:

100% (00:49) correct
0% (00:00) wrong based on 4 sessions

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?

Re: Of the 200 seniors at Monroe High School, exactly 40 are in [#permalink]
13 Jun 2019, 05:46

Expert's post

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?

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 242 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 242 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 242 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 FROM MY COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Dayemails

greprepclubot

Re: Of the 200 seniors at Monroe High School, exactly 40 are in
[#permalink]
13 Jun 2019, 05:46