How many people are directors of both Company K and Company : GMAT Data Sufficiency (DS)
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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]

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19 Mar 2010, 06:03
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76% (01:41) correct 24% (00:40) wrong based on 260 sessions

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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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: how-many-people-are-directors-of-both-company-k-and-company-139479.html
[Reveal] Spoiler: OA
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Re: OG 12th Edition DS #50 [#permalink]

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19 Mar 2010, 07:26
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placebo wrote:
This isn't a difficult question, nor does it require calculations. But I still just don't get the answer.

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.

I would think the answer is A. "...17 directors present at...meeting of the directors of Company K and Company R...none were absent."

But the answer is C.

Maybe I haven't had enough food today.

stmnt1 - total 17 directors of Company K and R. We dont know how many are directors of both K and R. hence insuff

stmnt2- again insuff. we just know the number of directors in K and R

taking together we have total 17 directors. Out of this 17, 12 are members of K which leaves only 5 members but company R has 8 members so 3 are members of both K and R. hence C
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Re: OG 12th Edition DS #50 [#permalink]

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19 Mar 2010, 09:52
Thank you for the help.

Jesus, the question is just really far fetched. Ugh, don't like it.
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Re: OG 12th Edition DS #50 [#permalink]

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19 Mar 2010, 12:05
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placebo wrote:
This isn't a difficult question, nor does it require calculations. But I still just don't get the answer.

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.

I would think the answer is A. "...17 directors present at...meeting of the directors of Company K and Company R...none were absent."

But the answer is C.

Maybe I haven't had enough food today.

actually if u see they are asking for the union of company K and R's director, lets say its x
then KUR = K+R - kr => 17 = 12 +8 -kr => kr = 3
we cannot deduce intersection from any one stmt but with both the stmts. so ans is C
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Re: OG 12th Edition DS #50 [#permalink]

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18 Nov 2010, 14:01
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For some reason, I still didn't get it. Till you read the sentence "None were absent". Here is the matrix I created combining statements 1 and 2.

Code:
KD        NotKD
RD             x                          8

NotRD                       0

Total        12                          17

I guess with that, we can find value of x. Let me know if this helped. Sorry for the ugly formatting.
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Re: OG 12th Edition DS #50 [#permalink]

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18 Nov 2010, 14:26
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Expert's post
placebo wrote:
This isn't a difficult question, nor does it require calculations. But I still just don't get the answer.

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.

I would think the answer is A. "...17 directors present at...meeting of the directors of Company K and Company R...none were absent."

But the answer is C.

Maybe I haven't had enough food today.

I think where you got confused was the difference between 'How many people are directors of both Company K and Company R' and 'How many total directors are there in Company K and Company R'. The question asks how many people are directors of both companies.

There are some people who are directors of only Company K, some who are directors of only company R and some who are directors of both. Now think, is statement 1 sufficient? It only tells us the total number of directors, not the ones common to K and R.
If statement 2 alone sufficient. It again tells us how many each company has, not how many they have in common.
When you take both statements together, you find out that total there are 17 directors. Company K has 12 and company R has 8 which adds up to 20 so 3 directors must be common to them. Now we get the information we were looking for. Answer (C).
Check out sets theory for more such questions.
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Re: How many people are directors of both Company K and Company [#permalink]

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13 Feb 2012, 04:05
It can also b solved by using Set theory.

Statement 1 says
N(K) - Number of Directors of Company K = 12 ( Given) and
N(R) - Number of Directors of Company R = 8 ( Given)

Statement 2 says
N(KUR) - Number of Directors of both Company K and R = 17 ( Given)

Combining both statements we get the final Equation of Set Theory -

We have been asked to find N(K and R) ( Intersection of both ).

According to the formula -

N(k U R) = N(K) + N(R) - N(A and B)
17 = 12 + 8 - N(A and B)

Hence - N(A and B) = 3
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MGMAT Double Set Matrix for this DS-problem [#permalink]

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09 Sep 2012, 12:39
Hi,

I usually use the Double Set Matrix MGMAT suggests when I have to solve OS-questions. Now I came across this problem in the OG (question 50 in DS section, 12th):

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.

Solution is pretty straightforward if you take a moment and think about it. But I was wondering if you can deduce the answer just by looking at the Double Set Matrix.
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Re: MGMAT Double Set Matrix for this DS-problem [#permalink]

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10 Sep 2012, 01:49
alex01 wrote:
Hi,

I usually use the Double Set Matrix MGMAT suggests when I have to solve OS-questions. Now I came across this problem in the OG (question 50 in DS section, 12th):

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.

Solution is pretty straightforward if you take a moment and think about it. But I was wondering if you can deduce the answer just by looking at the Double Set Matrix.

Its 'C' for me. as none of the sentence is self sufficient to answer the question.
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Re: How many people are directors of both Company K and Company [#permalink]

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18 Dec 2013, 18:06
Please help!

I don't understand why any of the 17 directors couldn't be directors of the both Company X and Company Y. What am I missing?

20-17 = 3 doesn't make sense to me.
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Re: How many people are directors of both Company K and Company [#permalink]

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19 Dec 2013, 00:28
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uagarwal24 wrote:
Please help!

I don't understand why any of the 17 directors couldn't be directors of the both Company X and Company Y. What am I missing?

20-17 = 3 doesn't make sense to me.

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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: how-many-people-are-directors-of-both-company-k-and-company-139479.html
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Re: How many people are directors of both Company K and Company [#permalink]

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06 Feb 2016, 20:40
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