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:

10% of all-aliens are capable of intelligent thought and [#permalink]

Show Tags

14 Feb 2010, 05:31

1

This post received KUDOS

5

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

89% (04:20) correct
11% (08:03) wrong based on 26 sessions

HideShow timer Statistics

10% of all-aliens are capable of intelligent thought and have more than 3 arms, and 75% of aliens with 3 arms or less are capable of intelligent thought. If 40% of all aliens are capable of intelligent thought, what percent of aliens have more than 3 arms?

Ans: 60% Explanation: Ques: % of aliens having more than 3 Arms.

Lets the total no of aliens be 100 Form 3 categories: Less than equal to 3 Arms;More than 3 Arms;Intelligent Thoughts From the ques: More than 3 Arms & intelligent thoughts = 10% of total Aliens = 10 Let the other aliens which have more than 3 Arms but dont have intelligent thoughts be x

This gives total no of aliens with Less than or equal to 3 Arms (Intelligent or not) = 100 - x - 10 = 90 - x

From the ques: Aliens having less than or equal to 3 Arms & Intelligent Thoughts = 75% of total no of aliens with Less than or equal to 3 Arms = 0.75 (90 - x)

It's given total no of intelligent Aliens = 40% of all the aliens = 40

Therefore 40 = 10 + 0.75(90-x) Solve for x... , x = 50

Therefore % of aliens having more than 3 Arms = x + 10 = 60%

_________________

Cheers! JT........... If u like my post..... payback in Kudos!!

|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

40 are intelligent: :30 have arms < 3 :10 have arms >= 3

60 are dumb: :10 have arms < 3 given the fact that 75% of all aliens with more than three arms are intelligent. :The remaining aliens have arms >=3 (50)

can someone plz. explain the solution of this question by the method of venn diagram....

See the attached diagram: I denotes intelligent aliens, and m3 denotes those with more than 3 arms. Among those who don't have more than 3 arms, the ratio between those who are intelligent and those who aren't is 75:25, therefore 3x and x in the diagram. Knowing that 3x + 10 = 40, it follows that x =10, and from the diagram, those who have more than 3 arms is 100 - 30 - 10 = 60.

Answer: 60%.

Attachments

Aliens-Venn.jpg [ 17.82 KiB | Viewed 2862 times ]

_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: 10% of all-aliens are capable of intelligent thought and [#permalink]

Show Tags

23 Nov 2014, 09:03

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: 10% of all-aliens are capable of intelligent thought and [#permalink]

Show Tags

06 Nov 2016, 02:45

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.
_________________

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

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...

Happy 2017! Here is another update, 7 months later. With this pace I might add only one more post before the end of the GSB! However, I promised that...