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

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Difficulty:

5% (low)

Question Stats:

76% (01:49) correct
24% (00:56) wrong based on 276 sessions

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.

Practice Questions Question: 49 Page: 279 Difficulty: 600

Re: How many people are directors of both Company K and Company [#permalink]
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.

Re: How many people are directors of both Company K and Company [#permalink]
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.

Re: How many people are directors of both Company K and Company [#permalink]
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.

gmatclubot

Re: How many people are directors of both Company K and Company
[#permalink]
21 Jul 2014, 04:09