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:

81% (02:04) correct
19% (01:27) wrong based on 21 sessions

HideShow timer Statistics

Official Guide Venn Diagrams

Here's a question from OG13 #222, pg 184...and a few notes you should know about Venn Diagrams for the GMAT.

Quote:

Q: Of the 200 students at College T majoring in one or more of the sciences, 130 are majoring in chemistry and 150 are majoring in biology.... [please purchase OG and follow along on pg184 for remaining question]

A) 20 to 50 B) 40 to 70 C) 50 to 130 D) 110 to 30 E) 110 to 150

General Outline

You'll often see venn diagrams associated with word problems that involve an overlapping segment between two parts. In the example above, we have a group of students in one major and a group of students in another major.

Divide the Problem

Two Circles:Each of these majors (chemistry and biology) are represented with the two circles.

Overlapped Portion: Some people double-major - that's the overlapping shaded region. This is the portion that belongs to both circles. In the question above, this means students who major in both chemistry and biology.

Outside square Area:Perhaps some students do not major in either chemistry or biology - this is represented by the portion outside of the two circles but within the box.

It is NOT necessarily equivalent to:

1 - circle1 - circle 2

You cannot simply subtract the value of each circle to find the area of this outside area. If the circles overlap, you would be double counting the overlapping region in your calculation. So do not fall into this trip!

Translate and Use the Hints In the above question, you are given information that "at least 30 students are not majoring in either chemistry or biology"---the keyword is "at least."

We don't know exactly how many students are in this "outside" area, but we know that at least 30 of them are there. So utilize this 30 to help you find the extreme range of how many students are double majoring.

Out of the 200 students, 30 of them are not involved with chemistry or biology.

So that must mean the remaining 170 are involved with chemistry or biology to some extent.

But comparing this 170 relevant students with the 130 chemistry majors and the 150 biology majors seems to show the numbers don't add up.

The combined 130 chem and 150 bio majors = 280 majors, which is a lot more than the relevant students. So what exactly does this mean?

Please view the video for further explanation on how to set this problem up and think through it. Track your OG progress here.

Re: Of the 200 students at College T majoring in one or more of [#permalink]

Show Tags

23 Dec 2012, 09:10

1

This post was BOOKMARKED

Hi,

Here is my take.

Pls see the attached diagram.

Since it says atleast 30 it means that bio not major and chemistry not major can vary from 30 to 50. This implies major in both can vary from 110 to 130

Attachments

sets.jpg [ 32.18 KiB | Viewed 2653 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 200 students at College T majoring in one or more of [#permalink]

Show Tags

17 Sep 2014, 08:42

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 200 students at College T majoring in one or more of [#permalink]

Show Tags

31 May 2016, 04:02

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.
_________________

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Since my last post, I’ve got the interview decisions for the other two business schools I applied to: Denied by Wharton and Invited to Interview with Stanford. It all...

Marketing is one of those functions, that if done successfully, requires a little bit of everything. In other words, it is highly cross-functional and requires a lot of different...