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In a survey, 60 people were asked to rank three teams: Chelsea, PSG,

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In a survey, 60 people were asked to rank three teams: Chelsea, PSG, [#permalink] New post   15 Sep 2021, 21:17
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In a survey, 60 people were asked to rank three teams: Chelsea, PSG, and Real Madrid, in order of their preference. All 60 people responded, and no two teams were ranked equally by any of the people surveyed. 3/5 of the people ranked PSG last, 1/10 ranked PSG before Chelsea, and 1/3 ranked PSG before Real Madrid.

Quantity A
Quantity B
Number of people who ranked PSG first
2


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
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Official Answer
C
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sebben1997
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Re: In a survey, 60 people were asked to rank three teams: Chelsea, PSG, [#permalink] New post   30 Oct 2021, 19:03
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Number of people who put PSG last = 60 * 3/5 = 36
Number of people who put PSG at either 1st or 2nd position = 60 - 36 = 24
This is the same group of people who put PSG above Real Madrid OR Chelsea (The union of the two sets)

24 = (60 * 1/10) + (60 * 1/3) - (People who put PSG above both Chelsea and Real Madrid [Intersection])
Solve equation to answer "2" which corresponds to option "C"
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Re: In a survey, 60 people were asked to rank three teams: Chelsea, PSG, [#permalink] New post   16 Sep 2021, 03:39
C
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Re: In a survey, 60 people were asked to rank three teams: Chelsea, PSG, [#permalink] New post   20 Sep 2021, 09:09
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Supreeth27112 wrote:
C
The answer is already published, so repeating is not adding any value. Please detail the steps.
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Re: In a survey, 60 people were asked to rank three teams: Chelsea, PSG, [#permalink] New post   30 Oct 2021, 09:01
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1/10 ranked PSG before chelsea. And 1/3 ranked PSG before Real Madrid.
So, for PSG to be ranked #1, both of the above conditions have to be true.
So, # of people that put PSG as rank 1 are (60)*1/30=2. So, option C is correct.

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Re: In a survey, 60 people were asked to rank three teams: Chelsea, PSG, [#permalink] New post   18 Dec 2021, 05:39
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Possible outcomes: 3!=6, namely,
PCR, PRC, CPR, CRP, RPC, RCP

PSG Last= CRP, RCP (60*(3/5)=36 people)
PSG before Chelsea= PCR, PRC, RPC (60*(1/10)=6 people)
PSG before Real Madrid= PCR, PRC, CPR (60*(1/3)=20 people)

PSG Last doesn't share any outcomes with the other two groups.
Let x=PSG first=intersection of the other two groups

Therefore
60=36+6+20-x
x=2

Final Answer: C
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Re: In a survey, 60 people were asked to rank three teams: Chelsea, PSG, [#permalink] New post   20 Oct 2024, 06:12
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In a survey, 60 people were asked to rank three teams: Chelsea, PSG, [#permalink]
20 Oct 2024, 06:12
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