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In a survey of the town of Waso, it was found that 65% of the people

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In a survey of the town of Waso, it was found that 65% of the people [#permalink]

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New post 29 Oct 2017, 00:14
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Question Stats:

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In a survey of the town of Waso, it was found that 65% of the people surveyed watched the news on television, 40% read a newspaper, and 25% read a newspaper and watched the news on television. What percent of the people surveyed neither watched the news on television nor read a newspaper?

(A) 0%
(B) 5%
(C) 10%
(D) 15%
(E) 20%
[Reveal] Spoiler: OA

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In a survey of the town of Waso, it was found that 65% of the people [#permalink]

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New post 29 Oct 2017, 08:34
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I have approached this problem by matrix method.

Here lets consider :

NP: Person reading News Paper
NNP: Person not reading News Paper
T: Person watched the news on Television
NT: Person did not watched the news on television

The answer to the question is option E.
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Re: In a survey of the town of Waso, it was found that 65% of the people [#permalink]

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New post 31 Oct 2017, 16:11
Bunuel wrote:
In a survey of the town of Waso, it was found that 65% of the people surveyed watched the news on television, 40% read a newspaper, and 25% read a newspaper and watched the news on television. What percent of the people surveyed neither watched the news on television nor read a newspaper?

(A) 0%
(B) 5%
(C) 10%
(D) 15%
(E) 20%


When dealing with overlapping sets, the most efficient way to solve for any of the values is to use the Group equation whereby Total = Group 1 + Group 2 - Both + Neither. In this case, since percents are used, substitute 100 for the total and use the provided percentages for the groups to solve. Therefore, 100 = 65 + 40 - 25 + Neither. Solving the equation yields Neither = 20% or choice E.
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Re: In a survey of the town of Waso, it was found that 65% of the people   [#permalink] 31 Oct 2017, 16:11
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