bharat2384 wrote:

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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:

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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