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How many people are directors of both Company K and Company

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Joined: 28 Feb 2012
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GMAT Date: 05-23-2012
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How many people are directors of both Company K and Company [#permalink]

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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: https://gmatclub.com/forum/how-many-peo ... 39479.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 20 Oct 2017, 00:01, edited 3 times 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]

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New post 24 Apr 2012, 11:23
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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]

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New post 13 Nov 2012, 05:11
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]

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New post 13 Nov 2012, 06:47
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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 1721 times ]
Numbers in black are given and numbers in red are calculated.

Hope it helps.
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Kudos [?]: 129475 [1], given: 12201

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Status: Gonna rock this time!!!
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Kudos [?]: 72 [0], given: 562

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

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New post 13 Nov 2012, 06:54
how did you infer '0' ?
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Kudos [?]: 72 [0], given: 562

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

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New post 13 Nov 2012, 07:02
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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Kudos [?]: 129475 [0], given: 12201

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

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New post 13 Nov 2012, 07:08
Sachin9 wrote:
how did you infer '0' ?

There is a joint meeting between directors and no director is absent.
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Kudos [?]: 1682 [0], given: 62

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

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New post 20 Oct 2017, 00:01
gayathriz wrote:
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: https://gmatclub.com/forum/how-many-peo ... 39479.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 129475 [0], given: 12201

Re: How many people are directors of both Company K and Company   [#permalink] 20 Oct 2017, 00:01
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