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# The table gives three factors to be considered when choosing

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The table gives three factors to be considered when choosing [#permalink]

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10 Sep 2009, 06:26
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Difficulty:

35% (medium)

Question Stats:

73% (02:04) correct 27% (01:51) wrong based on 51 sessions

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---------------------------------------------------
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

this one looks llike a wenn diagramm, but not easy to solve. does anyone have a shortcut?

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-table-gives-three-factors-to-be-considered-when-choosing-98936.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 13 Jul 2013, 06:54, edited 1 time in total.
Renamed the topic, edited the question and added the OA.

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Re: survey - overlapping sets [#permalink]

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10 Sep 2009, 06:42
The way I looked at is is as follows:

UserFriendly(UF) + FastResponse (FR) = 30%
UF leftover = 56 - 30 = 26%
FR leftover = 48 - 30 = 18%

Sum these = 74% (ie. 74% were either UF+FR, UF, FR)
26% leftover is the maximum number for Bargain Price

26/100 * 1200 = 26 * 12 = 312 (A).

You could do this in a Venn diagram too I guess.

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Re: survey - overlapping sets [#permalink]

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10 Sep 2009, 06:57
A..... max % =100-(56+48-30=74) = 26% or 312
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Re: survey - overlapping sets [#permalink]

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02 May 2011, 01:16
straight 26% for 1200.

100-(56+48)+30 = 26%
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Re: survey - overlapping sets [#permalink]

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10 Sep 2011, 07:30
Attachment:

Screen Shot 2011-09-10 at 5.23.47 PM.png [ 32.45 KiB | Viewed 2088 times ]

Here's a Venn Diagram.

26% of 1200= 312

OA D.
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Re: survey - overlapping sets [#permalink]

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12 Sep 2011, 05:30
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Re: survey - overlapping sets [#permalink]

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12 Sep 2011, 09:31
In the following equation everything is in %

A = “user-friendly” B= “fast response time”
C=Bargain prices
100= 56+48+42- (AB+BC+CA) + ABC

now AB = 30
so
100 = 116- (BC+CA-ABC)
BC+CA-ABC = 16
So it can not be less that 16
Now exclusively bargain price or C = Total C - (BC+CA-ABC)
42-16 = 26%

1200*26%
=312

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Re: survey - overlapping sets [#permalink]

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12 Sep 2011, 12:06
@raghavakumar85 Correct. 14 should be 18 in the right most circle.

Thanks.
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Re: survey - overlapping sets   [#permalink] 12 Sep 2011, 12:06
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