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In an internet research company 1200 clients were surveyed. The survey

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In an internet research company 1200 clients were surveyed. The survey  [#permalink]

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New post 26 May 2011, 15:43
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In an internet research company 1200 clients were surveyed. The survey asked about 3 characteristics of the systems. The price, the speed and the stability. 56% answered it was a cheap service, 48% answered that it was a fast service, 30% answered that it was both a fast service and a cheap service and 42% answered that it was an stable service. What is the maximum amount of people that could answered that it was a stable service but not a cheap service nor a fast service?
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Re: In an internet research company 1200 clients were surveyed. The survey  [#permalink]

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New post 26 May 2011, 17:08
56+48-30=74
100-74 = 26%
Is 26% the answer?
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Re: In an internet research company 1200 clients were surveyed. The survey  [#permalink]

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New post 26 May 2011, 18:40
Yes, 26% ( 312) is the correct answer.

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Re: In an internet research company 1200 clients were surveyed. The survey  [#permalink]

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New post 26 May 2011, 20:58
56+48+42-30-ch_st-sp_st-2ch_sp_st = 100

gives 42-ch_st-sp_st- 2ch_sp_st = 100-74 = 26

thus 26% of 1200 gives the value = 312.

PS: Maximum amount of people is wrong usage of English here.People is countable hence number of people is correct.
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Re: In an internet research company 1200 clients were surveyed. The survey  [#permalink]

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New post 28 May 2011, 13:45
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aeros232 wrote:
In an internet research company 1200 clients were surveyed. The survey asked about 3 characteristics of the systems. The price, the speed and the stability. 56% answered it was a cheap service, 48% answered that it was a fast service, 30% answered that it was both a fast service and a cheap service and 42% answered that it was an stable service. What is the maximum amount of people that could answered that it was a stable service but not a cheap service nor a fast service?


Consider the data given for two characteristics - cheap and fast
Attachment:
Ques2.jpg
Ques2.jpg [ 12.06 KiB | Viewed 2125 times ]

26% + 30% + 18% = 74%
So 74% of the people said that it is cheap or fast or both. Only 26% people are left. To maximize the number of people who called it stable, we can assume that all 26% of the leftover people said that it is stable i.e. there was nobody who said that the service is 'not fast, not cheap and not stable'.
26% * 1200 = 312 people
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Re: In an internet research company 1200 clients were surveyed. The survey  [#permalink]

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New post 28 May 2011, 16:42
So basically we are not making use of 42% here...
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Re: In an internet research company 1200 clients were surveyed. The survey  [#permalink]

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New post 17 May 2016, 13:28
VeritasPrepKarishma wrote:
aeros232 wrote:
In an internet research company 1200 clients were surveyed. The survey asked about 3 characteristics of the systems. The price, the speed and the stability. 56% answered it was a cheap service, 48% answered that it was a fast service, 30% answered that it was both a fast service and a cheap service and 42% answered that it was an stable service. What is the maximum amount of people that could answered that it was a stable service but not a cheap service nor a fast service?


Consider the data given for two characteristics - cheap and fast
Attachment:
Ques2.jpg

26% + 30% + 18% = 74%
So 74% of the people said that it is cheap or fast or both. Only 26% people are left. To maximize the number of people who called it stable, we can assume that all 26% of the leftover people said that it is stable i.e. there was nobody who said that the service is 'not fast, not cheap and not stable'.
26% * 1200 = 312 people


Why is the overlap of all three categories zero? If there were overlap wouldn't the answer be a different one? Can we assume that there is zero overlap of all three categories? Thanks
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Re: In an internet research company 1200 clients were surveyed. The survey   [#permalink] 17 May 2016, 13:28
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