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# Workers are grouped by their areas of expertise and are plac

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Intern
Joined: 11 Sep 2011
Posts: 26
Followers: 1

Kudos [?]: 30 [0], given: 0

Workers are grouped by their areas of expertise and are plac [#permalink]

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28 Sep 2011, 22:37
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Difficulty:

55% (hard)

Question Stats:

54% (02:24) correct 46% (01:23) wrong based on 125 sessions

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Workers are grouped by their areas of expertise and are placed on at least one team. 20 workers are on team A, 30 are on team B, 40 are on team C. 5 workers are on both team A and B, 6 workers are on both the B and C teams, 9 workers are on both the C and A teams and 4 workers are on all 3 teams. How many workers are there in total?

A. 62
B. 78
C. 74
D. 66
E. 72
[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Aug 2013, 11:38, edited 2 times in total.
OA corrected from A to C
Intern
Status: Accepted - SMU, Singapore (Class of 2013)
Joined: 08 Sep 2011
Posts: 27
Location: Singapore
Concentration: Finance, General Management
GMAT 1: 620 Q46 V29
GMAT 2: 710 Q50 V35
WE: Information Technology (Computer Software)
Followers: 3

Kudos [?]: 12 [0], given: 0

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29 Sep 2011, 00:52
Ans. A - 62

I solved this using Venn Diagrams. Attaching the solution for you. This is my first ever attachment in the forum. Not sure if it will display the image of the attachment has to be opened. Please check.
Attachments

sets_answer.jpg [ 12.5 KiB | Viewed 3125 times ]

_________________

p!yu$h http://gmatclub.com/forum/from-620-to-710-my-gmat-story-test-date-30-oct-122547.html#p995276 Intern Joined: 27 Jul 2011 Posts: 27 Followers: 0 Kudos [?]: 8 [0], given: 3 Re: Overlapping Set Problem [#permalink] ### Show Tags 29 Sep 2011, 00:55 the total no of students will be: 20+30+40 - (5+6+9+2*4) = 62 We have deducted the numbers coz the workers should be counted once, but the workers who are in two teams are counted twice and the workers who are in all three teams are counted thrice, Eg: Team A should have 20 workers but, Team B should have 20-5 workers coz the 5 workers are already counted in team A. Senior Manager Status: mba here i come! Joined: 07 Aug 2011 Posts: 270 Followers: 41 Kudos [?]: 970 [0], given: 48 Re: Overlapping Set Problem [#permalink] ### Show Tags 06 Oct 2011, 07:13 total = 20+30+40-5-6-9-2(4) = 62 _________________ press +1 Kudos to appreciate posts Director Status: No dream is too large, no dreamer is too small Joined: 14 Jul 2010 Posts: 650 Followers: 38 Kudos [?]: 695 [0], given: 39 Re: Overlapping Set Problem [#permalink] ### Show Tags 06 Oct 2011, 08:50 A only = 20-5-9-4 = 2 B only = 30-5-6-4 = 15 C only = 40-6-9-4 = 21 Total = 2+15+21+24(5+6+9+4)= 62 _________________ Collections:- PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html 100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html Intern Joined: 28 Feb 2011 Posts: 35 Followers: 0 Kudos [?]: 7 [0], given: 1 Re: Overlapping Set Problem [#permalink] ### Show Tags 06 Oct 2011, 11:25 Hi, I was going through the following section in this forum to get an understanding of overlapping set: formulae-for-3-overlapping-sets-69014.html The above problem has been explained here by Bunnel as well. But the answer is 74. Can somebody pls verify the answer? Thank you, Anu Senior Manager Joined: 13 May 2011 Posts: 317 WE 1: IT 1 Yr WE 2: Supply Chain 5 Yrs Followers: 21 Kudos [?]: 225 [0], given: 11 Re: Overlapping Set Problem [#permalink] ### Show Tags 08 Oct 2011, 00:28 i got 74: A=10+[1+4+5]=20 B=23+[1+4+2]=30 C=29+[5+4+2]=40 Manager Status: Trying hard to give another shot! Joined: 29 Jun 2010 Posts: 114 GMAT 1: 610 Q45 V29 WE: Information Technology (Computer Software) Followers: 1 Kudos [?]: 39 [0], given: 50 Re: Overlapping Set Problem [#permalink] ### Show Tags 08 Oct 2011, 03:44 The correct answer is 74.We can get this by drawing 3 set venn diagram and substituting the values. _________________ Thanks, GC24 Please click Kudos ,if my post helped you Manager Joined: 21 Aug 2010 Posts: 189 Location: United States GMAT 1: 700 Q49 V35 Followers: 2 Kudos [?]: 84 [1] , given: 141 Re: Overlapping Set Problem [#permalink] ### Show Tags 09 Oct 2011, 03:57 1 This post received KUDOS Ans C Attachments Ans C.jpg [ 46.5 KiB | Viewed 2737 times ] _________________ ------------------------------------- Senior Manager Joined: 13 May 2011 Posts: 317 WE 1: IT 1 Yr WE 2: Supply Chain 5 Yrs Followers: 21 Kudos [?]: 225 [0], given: 11 Re: Overlapping Set Problem [#permalink] ### Show Tags 04 Dec 2011, 00:38 Total= T(A)+T(B)+T(C)- {A|B+B|C+C|D}+ (A|B|C) =20+30+40 - (5+6+9) + 4 =74 Edited: check the link: confused-aubuc-79404.html Intern Joined: 07 Nov 2011 Posts: 31 Followers: 0 Kudos [?]: 2 [0], given: 9 Re: Overlapping Set Problem [#permalink] ### Show Tags 04 Dec 2011, 08:55 got 74 also nd not 62 GMAT Club Legend Joined: 09 Sep 2013 Posts: 10621 Followers: 496 Kudos [?]: 130 [0], given: 0 Re: Workers are grouped by their areas of expertise and are plac [#permalink] ### Show Tags 22 Nov 2014, 10:53 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: Workers are grouped by their areas of expertise and are plac [#permalink] 22 Nov 2014, 10:53 Similar topics Replies Last post Similar Topics: In a group of 25 factory workers, 15 have brown eyes. Six of the women 5 18 Nov 2015, 23:27 1 If$936 are divided between worker A and worker B in the rat 4 17 Feb 2013, 18:49
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