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How to draw a Venn Diagram for problems

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Re: How to draw a Venn Diagram for problems [#permalink]

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New post 29 Jul 2013, 19:41
Bunuel wrote:
Bumping for review*.

*New project from GMAT Club!!! Check HERE



Hi, bunuel,

I was wondering if you could explain/add more color to the above explanation to reconcile with your original thread - formulae-for-3-overlapping-sets-69014.html#p729340 .

Your original thread contains two concepts one that includes "neither" where the data doesn't belong to any set in consideration. How would that be solved using the above explanation as given by whiplash? Thanks in advance for your help.

P.S - I have been reviewing both threads and just found the above explanation easier to understand than yours but it doesn't address "neither" as a concept and we know that there is no one better here to explain the concepts on this forum :). Much appreciated!
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Re: How to draw a Venn Diagram for problems [#permalink]

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New post 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. :shock:

Edit: My bad, didn't see that other people have pointed this out! Sorry~

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Re: How to draw a Venn Diagram for problems [#permalink]

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New post 30 Aug 2014, 05:40
Hello from the GMAT Club BumpBot!

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Re: How to draw a Venn Diagram for problems [#permalink]

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New post 02 Sep 2015, 12:05
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 :)

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Re: How to draw a Venn Diagram for problems [#permalink]

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New post 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.

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Re: How to draw a Venn Diagram for problems [#permalink]

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New post 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.


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Re: How to draw a Venn Diagram for problems [#permalink]

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New post 11 Jun 2016, 20:32
Solution should be 27, not 37...but the explanation is great, and it's easy to follow!

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Re: How to draw a Venn Diagram for problems [#permalink]

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New post 18 Jun 2017, 03:00
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]

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New post 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 :)

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Re: How to draw a Venn Diagram for problems [#permalink]

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New post 12 Sep 2017, 05:49

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Re: How to draw a Venn Diagram for problems [#permalink]

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New post 26 Sep 2017, 03:02
Loved the explanation. See the attachment: this is how I approached this question.
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Re: How to draw a Venn Diagram for problems   [#permalink] 26 Sep 2017, 03:02

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