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can you please help me with these pronblems..

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can you please help me with these pronblems.. [#permalink]

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New post 14 Jan 2010, 11:35
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A
B
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E

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------------------------------------------------------------------------------------------------------------
Q24:
Factor Percent of Respondents
User-friendly 56%
Fast response time 48%
Bargain prices 42%

The table gives three factors to be considered when choosing an Internet service provider
and the percent of the 1,200 respondents to a survey who cited that factor as important. If
30 percent of the respondents cited both “user-friendly” and “fast response time,” what is
the maximum possible number of respondents who cited “bargain prices,” but neither
“user-friendly” nor “fast response time?”
A. 312
B. 336
C. 360
D. 384
E. 420
Answer:
Senior Manager
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Schools: LBS, INSEAD, IMD, ISB - Anything with just 1 yr program.
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Re: can you please help me with these pronblems.. [#permalink]

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New post 14 Jan 2010, 12:21
bharat2384 wrote:
------------------------------------------------------------------------------------------------------------
Q24:
Factor Percent of Respondents
User-friendly 56%
Fast response time 48%
Bargain prices 42%

The table gives three factors to be considered when choosing an Internet service provider
and the percent of the 1,200 respondents to a survey who cited that factor as important. If
30 percent of the respondents cited both “user-friendly” and “fast response time,” what is
the maximum possible number of respondents who cited “bargain prices,” but neither
“user-friendly” nor “fast response time?”
A. 312
B. 336
C. 360
D. 384
E. 420
Answer:


I am currently unable to draw the Venn diagrams but this is the best I can suggest.
n(U) = 56%
n(F) = 48%
n(B) = 42%.
Given n(U N F) = 30%.

We have to find n(B - n(B N n(U U F))).
First find n(U U F) = n(U) + n(F) - n(U N F) = 74%.
Then n(B U n(U U F) = n(B) + n(U U F) - n(B N n(U U F)) = 100, since all respondents participated in the survey. This will give n(B N n(U U F)) = 16%.
Finally, n(B - n(B N n(U U F))) = 42 - 16 = 26%. Of 1200 respondents, this number comes exactly to 312.

A is the answer.
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Re: can you please help me with these pronblems.. [#permalink]

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New post 14 Jan 2010, 14:14
bharat2384 wrote:
------------------------------------------------------------------------------------------------------------
Q24:
Factor Percent of Respondents
User-friendly 56%
Fast response time 48%
Bargain prices 42%

The table gives three factors to be considered when choosing an Internet service provider
and the percent of the 1,200 respondents to a survey who cited that factor as important. If
30 percent of the respondents cited both “user-friendly” and “fast response time,” what is
the maximum possible number of respondents who cited “bargain prices,” but neither
“user-friendly” nor “fast response time?”
A. 312
B. 336
C. 360
D. 384
E. 420
Answer:



Bharat See this link... set-theory-question-81855.html#p613682
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Re: can you please help me with these pronblems.. [#permalink]

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New post 14 Jan 2010, 20:56
hey ...thanks a lot...
Re: can you please help me with these pronblems..   [#permalink] 14 Jan 2010, 20:56
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