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# How to draw a Venn Diagram for problems

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Intern
Joined: 10 Jan 2013
Posts: 5
Re: How to draw a Venn Diagram for problems  [#permalink]

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30 Jul 2013, 21:53
I really loved the way how you solved this problem and it has helped me immensely. However I spot a mistake at the end of your post.

whiplash2411 wrote:

$$x+y+z+171 - 2(x+y+z)= 144$$

Upon rearranging this you get:

[m]x+y+z = 171-144 = 37[/m]which is option A the right answer.

Hope this helps some of you! Please post a reply if there's anything else you want to know about my explanation or anything else.

171 - 144 = 27, but 27 is not one of the answers.

Edit: My bad, didn't see that other people have pointed this out! Sorry~
Intern
Joined: 10 Feb 2015
Posts: 1
Re: How to draw a Venn Diagram for problems  [#permalink]

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02 Sep 2015, 12:05
1
Thanks for the post whiplash2411. However, there is an easier and faster way to do this.

Math = 53
Chemistry = 88
English = 58
Total = 199

This total counts x, y, z twice (students taking 2 classes) and 6 thrice (students taking 3 classes). We need to count these only once to arrive at the number of students taking exactly 2 classes.

First get rid of the double counting by subtracting the actual number of students from the total above. Deal with the triple counting in the next step.

Total = 199
No. of students =(150)
Remaining = 49

Since 6 has been counted thrice, subtract 6 twice (6*2 = 12) from the remainder to count it exactly once.

Remaining = 49
Subtract 12 =(12)
Final = 37

Thus, the number of students taking exactly 2 classes is 37.

Hope this helps
Intern
Joined: 19 Aug 2015
Posts: 20
Re: How to draw a Venn Diagram for problems  [#permalink]

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19 Nov 2015, 12:28
Great explanation!

Its amazing how complex word problems can come down to simple solutions (after you learn the step by step process, of course!)

1 - (88+53+58)-3(6) = 181

2 - (150-6) = 144

(1)-(2) =37.
Math Expert
Joined: 02 Sep 2009
Posts: 58453
Re: How to draw a Venn Diagram for problems  [#permalink]

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19 Nov 2015, 23:45
manhattan187 wrote:
Great explanation!

Its amazing how complex word problems can come down to simple solutions (after you learn the step by step process, of course!)

1 - (88+53+58)-3(6) = 181

2 - (150-6) = 144

(1)-(2) =37.

For overlapping sets check the following posts:

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Current Student
Joined: 11 Mar 2016
Posts: 2
GPA: 3.74
Re: How to draw a Venn Diagram for problems  [#permalink]

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11 Jun 2016, 20:32
Solution should be 27, not 37...but the explanation is great, and it's easy to follow!
Intern
Joined: 26 Jun 2017
Posts: 5
Re: How to draw a Venn Diagram for problems  [#permalink]

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12 Sep 2017, 05:46
Love your work. Can you post for examples of venn diagram since I've found it very often in real test
Math Expert
Joined: 02 Sep 2009
Posts: 58453
Re: How to draw a Venn Diagram for problems  [#permalink]

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12 Sep 2017, 05:49
tringuyenminh293 wrote:
Love your work. Can you post for examples of venn diagram since I've found it very often in real test

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Intern
Joined: 24 Oct 2016
Posts: 24
Re: How to draw a Venn Diagram for problems  [#permalink]

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26 Sep 2017, 03:02
4
Loved the explanation. See the attachment: this is how I approached this question.
Attachments

FullSizeRender.jpg [ 131.26 KiB | Viewed 1546 times ]

Non-Human User
Joined: 09 Sep 2013
Posts: 13261
Re: How to draw a Venn Diagram for problems  [#permalink]

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09 Oct 2019, 08:50
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).

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Re: How to draw a Venn Diagram for problems   [#permalink] 09 Oct 2019, 08:50

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