Venn Diagram (confused on this idea)
This topic has expert replies
- [email protected]
- Newbie | Next Rank: 10 Posts
- Posts: 5
- Joined: Thu Oct 23, 2014 11:49 pm
Mark has 60 blue marbles, half of which are checked, 50 checked marbles, half of which are oval, and 40 oval marbles, half of which are blue. If 10 marbles Mark has are blue, checked and oval and all the marbles he has are either blue, checked or oval, then how many total marbles Mark has?
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Draw a VENN DIAGRAM representing the following:[email protected] wrote:Mark has 60 blue marbles, half of which are checked, 50 checked marbles, half of which are oval, and 40 oval marbles, half of which are blue. If 10 marbles Mark has are blue, checked and oval and all the marbles he has are either blue, checked or oval, then how many total marbles Mark has?
Mark has 60 blue marbles, 50 checked marbles, and 40 oval marbles.
Complete the Venn diagram by working from the INSIDE OUT.
10 marbles Mark has are blue, checked and oval.
60 blue marbles, half of which are checked = 30 blue and checked.
50 checked marbles, half of which are oval = 25 checked and oval.
40 oval marbles, half of which are blue = 20 oval and blue.
Subtracting from 30, 25 and 20 the 10 marbles that are in all 3 groups, we get:
Subtracting the values in the diagram from B=60, C=50, and O=40, we get:
How many total marbles does Mark have?
Adding together the values in the Venn Diagram, we get:
T = 20+20+5+10+10+15+5 = 85.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi akshat.pant3,
Is this question from a GMAT resource or a 'math' resource? I ask because if it's meant to be a GMAT question, then there should be 5 answer choices. Having those answers would provide us with various options (other than just 'doing math') that we might use to answer this question.
If you find a question to be 'too hard', it might be because you're approaching the prompt in a difficult way.
GMAT assassins aren't born, they're made,
Rich
Is this question from a GMAT resource or a 'math' resource? I ask because if it's meant to be a GMAT question, then there should be 5 answer choices. Having those answers would provide us with various options (other than just 'doing math') that we might use to answer this question.
If you find a question to be 'too hard', it might be because you're approaching the prompt in a difficult way.
GMAT assassins aren't born, they're made,
Rich
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Here's a free video that explains Mitch's technique: https://www.gmatprepnow.com/module/gmat- ... /video/921
After watching the video, try this practice question: https://www.gmatprepnow.com/module/gmat- ... /video/922
Cheers,
Brent
After watching the video, try this practice question: https://www.gmatprepnow.com/module/gmat- ... /video/922
Cheers,
Brent
- Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.
BY PICTURE
www.mathrevolution.com
- The one-and-only World's First Variable Approach for DS and IVY Approach for PS that allow anyone to easily solve GMAT math questions.
- The easy-to-use solutions. Math skills are totally irrelevant. Forget conventional ways of solving math questions.
- The most effective time management for GMAT math to date allowing you to solve 37 questions with 10 minutes to spare
- Hitting a score of 45 is very easy and points and 49-51 is also doable.
- Unlimited Access to over 120 free video lessons at https://www.mathrevolution.com/gmat/lesson
- Our advertising video at https://www.youtube.com/watch?v=R_Fki3_2vO8
BY PICTURE
www.mathrevolution.com
- The one-and-only World's First Variable Approach for DS and IVY Approach for PS that allow anyone to easily solve GMAT math questions.
- The easy-to-use solutions. Math skills are totally irrelevant. Forget conventional ways of solving math questions.
- The most effective time management for GMAT math to date allowing you to solve 37 questions with 10 minutes to spare
- Hitting a score of 45 is very easy and points and 49-51 is also doable.
- Unlimited Access to over 120 free video lessons at https://www.mathrevolution.com/gmat/lesson
- Our advertising video at https://www.youtube.com/watch?v=R_Fki3_2vO8
- [email protected]
- Newbie | Next Rank: 10 Posts
- Posts: 5
- Joined: Thu Oct 23, 2014 11:49 pm
Thank you all ... it was very helpful.
And, yes, this is a GMAT question. I just missed to write the answer choices.
And, yes, this is a GMAT question. I just missed to write the answer choices.