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Intern
Joined: 25 Oct 2009
Posts: 6
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14 Jan 2010, 11:35
00:00

Difficulty:

(N/A)

Question Stats:

100% (05:55) correct 0% (00:00) wrong based on 4 sessions

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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
Senior Manager
Joined: 21 Jul 2009
Posts: 366
Schools: LBS, INSEAD, IMD, ISB - Anything with just 1 yr program.
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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

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.

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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

Intern
Joined: 25 Oct 2009
Posts: 6
Followers: 0

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

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14 Jan 2010, 20:56
hey ...thanks a lot...
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