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]
14 Feb 2010, 06:31
This post received KUDOS
This post was BOOKMARKED
83% (04:56) correct
17% (08:03) wrong based on 15 sessions
HideShow timer Statictics
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|
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.
Aliens-Venn.jpg [ 17.82 KiB | Viewed 2052 times ]
PhD in Applied Mathematics Love GMAT Quant questions and running.
Re: 10% of all-aliens are capable of intelligent thought and [#permalink]
23 Nov 2014, 10:03
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. _________________