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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 Apr 2012, 08:14
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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.

Please do explain you answer choice.
Thanks

Last edited by Bunuel on 24 Apr 2012, 10:13, edited 1 time in total.
Edited the question and added the OA
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Re: How many people are directors of both Company K and Company [#permalink] New post 24 Apr 2012, 10:23
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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. 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 13 Nov 2012, 04:11
Hi Bunuel,

I am unable to solve this using the double set matrix method.

Could you please show how to solve this Q using the above mentioned method?

Regards,
Sachin
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Re: How many people are directors of both Company K and Company [#permalink] New post 13 Nov 2012, 05:47
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Sachin9 wrote:
Hi Bunuel,

I am unable to solve this using the double set matrix method.

Could you please show how to solve this Q using the above mentioned method?

Regards,
Sachin


Check the matrix below:
Attachment:
Directors.png
Directors.png [ 5.35 KiB | Viewed 903 times ]
Numbers in black are given and numbers in red are calculated.

Hope it helps.
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Re: How many people are directors of both Company K and Company [#permalink] New post 13 Nov 2012, 05:54
how did you infer '0' ?
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Re: How many people are directors of both Company K and Company [#permalink] New post 13 Nov 2012, 06:02
Expert's post
Sachin9 wrote:
how did you infer '0' ?


(1) says that "there were 17 directors present at a joint meeting of the directors of Company K and Company R", so each out of 17 people was either director of K or R (or both) and no one who wasn't director of either of the companies was present at the meeting.
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: How many people are directors of both Company K and Company [#permalink] New post 13 Nov 2012, 06:08
Expert's post
Sachin9 wrote:
how did you infer '0' ?

There is a joint meeting between directors and no director is absent.
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Re: How many people are directors of both Company K and Company   [#permalink] 13 Nov 2012, 06:08
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