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FN
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Each of 3 charities in gmatclub has 8 persons serving on its 14 May 2008, 19:39
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Each of 3 charities in gmatclub has 8 persons serving on its board if exactly 4 persons serve on exactly 3 boards each and each pair of charities has 5 persons in common on their board, then how many distinct persons serve on one or more boards.?

8
13
16
24
27



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rpmodi
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Each of 3 charities in gmatclub has 8 persons serving on its 14 May 2008, 21:56
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fresinha12
Each of 3 charities in gmatclub has 8 persons serving on its board if exactly 4 persons serve on exactly 3 boards each and each pair of charities has 5 persons in common on their board, then how many distinct persons serve on one or more boards.?

8
13
16
24
27
Show more


my answer is 13 , let me know if it's correct I will explain with venn diagram
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FN
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Each of 3 charities in gmatclub has 8 persons serving on its 15 May 2008, 06:09
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maybe i should rename the post as 700 level question ..that would get more attention ;)
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sjgmat
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Each of 3 charities in gmatclub has 8 persons serving on its 15 May 2008, 06:30
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Even I will go for 13

What is OA?

Explanation -

A B C
4 4 4 ( common across all 3 groups)
1 1 - ( Common among any 2 groups, so that only 5 are common)
- 1 1
1 - 1
hence total members = 4+1+1+1

now as each has total 8 so we need 2 members in each group

this will make total members = 4+1+1+1+2+2+2 = 13
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ventivish
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Each of 3 charities in gmatclub has 8 persons serving on its 15 May 2008, 08:20
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Hi I get an answer of 8 What is the OA?
Thanks
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ldpedroso
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Each of 3 charities in gmatclub has 8 persons serving on its 18 May 2008, 16:22
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I got 13 too, doing tha same as sjgmat.
Fresinha, what is the OA?
Is it really a 700 level question?



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