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In a nationwide poll, P people were asked 2 questions. If 2/5 answered [#permalink]
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08 Aug 2016, 09:08
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E
Difficulty:
25% (medium)
Question Stats:
75% (01:20) correct 25% (02:18) wrong based on 155 sessions
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In a nationwide poll, P people were asked 2 questions. If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of people polled who did not answer “yes” to both questions?
In a nationwide poll, P people were asked 2 questions. If 2/5 answered [#permalink]
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Updated on: 08 Aug 2016, 10:34
Answer is B 3/5 * P
" If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2 " As per this 2/5 P answered yes to q1 and 1/3 of those means answered yes to q2, which means 2/5*P includes the set of people who answered yes to both Q. So it's just P - 2/5*P = 3/5 *P
Correct answer is 13/15 P - 2/5*1/3
Originally posted by Senthil1981 on 08 Aug 2016, 10:19.
Last edited by Senthil1981 on 08 Aug 2016, 10:34, edited 1 time in total.
Re: In a nationwide poll, P people were asked 2 questions. If 2/5 answered [#permalink]
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08 Aug 2016, 10:24
Senthil1981 As far as I understand from the question, it says 1/3 of 2/5*P (who answered Q1 as yes) answered Q2 as yes. and 1/3 of 2/5*P will be 2/15*P. And P - 2/15*P = 13/15*P
_________________
In a nationwide poll, P people were asked 2 questions. If 2/5 answered [#permalink]
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Updated on: 08 Aug 2016, 10:36
Hi 14101992, you're right, I missed the "both" part.
Let's check the question once again In a nationwide poll, P people were asked 2 questions. If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of people polled who did not answer “yes” to both questions?
2/5 answered yes to Q1, and "of those" also answered yes to Q2, which means 2/5 includes people who answered yes to Q1 and Q2.And the question is how many answered No, so it's just total - who answered yes. P - 2/5 P.
Originally posted by Senthil1981 on 08 Aug 2016, 10:30.
Last edited by Senthil1981 on 08 Aug 2016, 10:36, edited 1 time in total.
Re: In a nationwide poll, P people were asked 2 questions. If 2/5 answered [#permalink]
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09 Aug 2016, 12:34
Bunuel wrote:
In a nationwide poll, P people were asked 2 questions. If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of people polled who did not answer “yes” to both questions?
A. 2/15*P B. 3/5*P C. 3/4*P D. 5/6*P E. 13/15*P
YesxYes
Q1 2p/5
Q2 2p/15
Total 8p/15
8p/15 answered Yes for both the Qs. Therefore, number of people who answered xYes to both the Qs = p - 8p/15 = 13p/15
In a nationwide poll, P people were asked 2 questions. If 2/5 answered [#permalink]
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12 Aug 2016, 12:54
Bunuel wrote:
In a nationwide poll, P people were asked 2 questions. If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of people polled who did not answer “yes” to both questions?
A. 2/15*P B. 3/5*P C. 3/4*P D. 5/6*P E. 13/15*P
Take 300 as the total number of people (as it should be a multiple of 15, 2/5*1/3=2/15 hence for convenience we take 300 as P) Now 120 said Yes to 1 & out of them 40 said Yes to 2, so in the first case we are left with 180, and second case we are left with 120-40=80. The total who didnot say yes to both will be 180+80=260 Feed the value of P in the options. Only 13P/15 gives you 260. Hence E
Re: In a nationwide poll, P people were asked 2 questions. If 2/5 answered [#permalink]
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12 Jan 2018, 10:56
Bunuel wrote:
In a nationwide poll, P people were asked 2 questions. If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of people polled who did not answer “yes” to both questions?
A. 2/15*P B. 3/5*P C. 3/4*P D. 5/6*P E. 13/15*P
Hello Bunuel, I don't seem to understand this. Per the solutions, answer E will include some of the people who said yes to question 1 and that will make it wrong. Unless my reasoning is not correct
gmatclubot
Re: In a nationwide poll, P people were asked 2 questions. If 2/5 answered
[#permalink]
12 Jan 2018, 10:56
close
75% (01:20) correct 
