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# PS-Sets

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Senior Manager
Joined: 05 Jun 2008
Posts: 291

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07 Dec 2008, 06:33
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In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?

A) 5

B) 10

C) 15

D) 20

E) 25

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Manager
Joined: 27 May 2008
Posts: 193

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07 Dec 2008, 07:22
i think C

This is the typical venn diagram question.

50-(x+y+5) + 30-(y+z+5) + 20 - (x+z+5) + x+y+z+5 = 85

100 -(x+y+z) = 90

x+y+z = 10 (like only 2 products)

So more than one of the three products = 10 + 5 = 15%
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Manager
Joined: 14 Oct 2008
Posts: 158

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Updated on: 07 Dec 2008, 15:37
Hmm looks little confusing as to whether its really more than one ( means includes 2 aqnd 3 products ) or the qs is asking for two products as the other info is given in qs clearly ?

Earlier i would have gone for 10 , but it might well be 15. Whats the QA ?

Originally posted by gameCode on 07 Dec 2008, 09:23.
Last edited by gameCode on 07 Dec 2008, 15:37, edited 1 time in total.
Manager
Joined: 23 Nov 2008
Posts: 77

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07 Dec 2008, 14:04
1
I think it should be 10 => B
Selvae, think there might be a slight error with your calcs.
SVP
Joined: 29 Aug 2007
Posts: 2426

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07 Dec 2008, 22:34
selvae wrote:
i think C

This is the typical venn diagram question.

50-(x+y+5) + 30-(y+z+5) + 20 - (x+z+5) + x+y+z+5 = 85

100 -(x+y+z) = 90
x+y+z = 10 (like only 2 products)

So more than one of the three products = 10 + 5 = 15%

50-(x+y+5) + 30-(y+z+5) + 20 - (x+z+5) + x+y+z+5 = 85
100 -(x+y+z) = 95
x+y+z = 5

so the percentage of the survey participants liked more than one of the three products = 5%+5% = 10%

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To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: PS-Sets   [#permalink] 07 Dec 2008, 22:34
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