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Out of 60 people who took a survey on their television habits, 40%

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Out of 60 people who took a survey on their television habits, 40%  [#permalink]

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New post 17 Apr 2018, 17:58
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Question Stats:

92% (01:14) correct 8% (00:25) wrong based on 48 sessions

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Out of 60 people who took a survey on their television habits, 40% said that they like sitcoms, 60% said that they like reality tv and 20% said that they liked both sitcoms and reality tv. How many people said that they liked neither reality tv nor sitcoms?

A. 10
B. 12
C. 24
D. 30
E. 36
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Re: Out of 60 people who took a survey on their television habits, 40%  [#permalink]

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New post 17 Apr 2018, 20:54
Buttercup3 wrote:
Out of 60 people who took a survey on their television habits, 40% said that they like sitcoms, 60% said that they like reality tv and 20% said that they liked both sitcoms and reality tv. How many people said that they liked neither reality tv nor sitcoms?

A. 10
B. 12
C. 24
D. 30
E. 36

Nice questions, Buttercup3 !
I like Venn diagrams. So I drew one.

You can use one of the overlapping set
formulas here:
A + B - both + neither = total

This problem is very straightforward.
Subtract both only once.

60 people surveyed
40%, or 24, like sitcoms
60%, or 35, like reality tv
20%, or 12, like both sitcoms and reality tv

S + R - both + neither = 60
24 + 36 - 12 + neither = 60
neither = 60 - 24 - 36 + 12
neither = 12

Answer B

Or, looking at the Venn diagram below
1) enter most restrictive information first
20% liked both sitcoms and reality tv
20% of 60 = 12 people

2) next, calculate the number that goes
in the "sitcom only" and
"reality tv" only parts of the circles

•Total who like sitcoms: 40% of 60 = 24
But 12 (see overlap) of those 24 also like reality tv
People who like sitcoms only? 24 - 12 = 12

• Total who like reality tv: 60% of 60 = 36
But 12 of those 36 (see overlap) also like sitcoms
People who like reality tv only? 36 - 12 = 24

3) Add each number inside the circle:
12 + 12 + 24 = 48 who like
sitcoms, reality tv, or both

4) Total # of people polled: 60
Total # liked S or R or both: 48
Total # who liked neither: (60 - 48) = 12

Answer B
Attachment:
Venntv.png
Venntv.png [ 12.33 KiB | Viewed 520 times ]

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Re: Out of 60 people who took a survey on their television habits, 40%  [#permalink]

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New post 19 Apr 2018, 21:12
Afte how long, the original answer will be posted after posting the question of the forum?


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Kudos to Kudos :)

And yeah, definitely aim for a level of accuracy where managing time will not be a burden anymore.

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Re: Out of 60 people who took a survey on their television habits, 40%  [#permalink]

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New post 20 Apr 2018, 01:56
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Re: Out of 60 people who took a survey on their television habits, 40% &nbs [#permalink] 20 Apr 2018, 01:56
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Out of 60 people who took a survey on their television habits, 40%

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