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Workers are grouped by their areas of expertise and are plac [#permalink]
28 Sep 2011, 21:37

2

This post was BOOKMARKED

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A

B

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E

Difficulty:

45% (medium)

Question Stats:

55% (02:20) correct
45% (01:13) wrong based on 95 sessions

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?

Re: Overlapping Set Problem [#permalink]
28 Sep 2011, 23:52

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.

Re: Overlapping Set Problem [#permalink]
28 Sep 2011, 23:55

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.

Re: Workers are grouped by their areas of expertise and are plac [#permalink]
22 Nov 2014, 09:53

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