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How many people are directors of both Company K and Company

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How many people are directors of both Company K and Company [#permalink] New post 24 Sep 2012, 04:21
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How many people are directors of both Company K and Company R ?

(1) There were 17 directors present at a joint meeting of the directors of Company K and Company R, and no directors were absent.
(2) Company K has 12 directors and Company R has 8 directors.

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Re: How many people are directors of both Company K and Company [#permalink] New post 24 Sep 2012, 04:22
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SOLUTION

How many people are directors of both Company K and Company R ?

(1) There were 17 directors present at a joint meeting of the directors of Company K and Company R, and no directors were absent. Together Company K and Company R have 17 directors (total #). Not sufficient to say how many people out of those 17 are directors of both.

(2) Company K has 12 directors and Company R has 8 directors. We know how many directors has each company, but it's still not sufficient to to say how many are directors of both.

(1)+(2) Company K has 12 directors and Company R has 8 directors, which adds up to 12+8=20, since we know that there are total of 17 directors then 20-17=3 people must be directors of both Company K and Company R. Sufficient.

Answer: C.
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Re: How many people are directors of both Company K and Company [#permalink] New post 28 Sep 2012, 06:25
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The question ask us to find a person (s) that is (are) both director of 2 companies

1) 17 total people is not enough to establish how many of them are both director

2) he we know only the member of the 2 companies but not both

1) + 2) if we have 17 persons from 1 and 20 from 2----> 3 people MUST be both companies X and Y

C is the answer
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Re: How many people are directors of both Company K and Company [#permalink] New post 16 Aug 2013, 23:24
On applying the 2X2 matrix method, I guess we should assume or mark neither K nor M column as 0 to get C?
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Re: How many people are directors of both Company K and Company [#permalink] New post 17 Aug 2013, 02:13
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Re: How many people are directors of both Company K and Company [#permalink] New post 14 Oct 2013, 20:15
Would someone mind constructing a double matrix with this problem?

Thanks,
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Re: How many people are directors of both Company K and Company [#permalink] New post 18 May 2014, 09:58
Obviously stmt 1 and 2 alone are not sufficient.
Let's try 1+2 :
Let x be the number of directors of both K and R.
If K has 12 directors and R has 8 directors. Then the number of directors who are present at the meeting will be:
12+8-X=17, X=3.
Hence C.
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Re: How many people are directors of both Company K and Company [#permalink] New post 21 Jul 2014, 04:09
Total = A + B - Both+None

(1) Total = 17. IS.
(2) A = 12, B = 8. IS.

(1) + (2): From 1 we get there there are 17 directors. Since the number of directors of both companies exceeds this total number, we now know that there are no people that are "none". Hence its 12+8-both=17, both =3. SUFF.
Re: How many people are directors of both Company K and Company   [#permalink] 21 Jul 2014, 04:09
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