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

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Math Expert
Joined: 02 Sep 2009
Posts: 50044
In a survey of the town of Waso, it was found that 65% of the people  [#permalink]

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29 Oct 2017, 01:14
00:00

Difficulty:

5% (low)

Question Stats:

95% (01:10) correct 5% (00:59) wrong based on 68 sessions

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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%

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Senior Manager
Joined: 13 Oct 2016
Posts: 288
GMAT 1: 600 Q44 V28
In a survey of the town of Waso, it was found that 65% of the people  [#permalink]

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29 Oct 2017, 09:34
1
I have approached this problem by matrix method.

Here lets consider :

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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Intern
Joined: 15 May 2017
Posts: 33
GMAT 1: 770 Q51 V45
Re: In a survey of the town of Waso, it was found that 65% of the people  [#permalink]

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31 Oct 2017, 17:11
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 &nbs [#permalink] 31 Oct 2017, 17:11
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