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In a statewide poll, Y people were asked two questions, the only answ

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Carcass
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In a statewide poll, Y people were asked two questions, the only answ [#permalink] New post   27 Oct 2021, 05:46
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In a statewide poll, Y people were asked two questions, the only answers to which were ”yes” or ”no.” If 3/4 of them answered ”no” to question 1, and 2/3 of those answered ”yes” to question 2, which of the following expressions represents the number of people interviewed who did not answer ”no” to both questions?

(A) Y/12
(B) Y/4
(C) Y/2
(D) 3Y/4
(E) 11Y/12


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rautharshal98
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Re: In a statewide poll, Y people were asked two questions, the only answ [#permalink] New post   28 Oct 2021, 02:50
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It is given that 2/3 of those have given yes, so 1/3 have given no and 1/3 of 3/4 of Y is y/4. so answer is Y/4
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Re: In a statewide poll, Y people were asked two questions, the only answ [#permalink] New post   30 Oct 2021, 10:06
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3/4 people said "no" to 1st question and 2/3 of these said "Yes" to 2nd question.
So, "Y/2" participants didn't say "no" to both questions.
Now, of the remaining that said "Yes" to 1st question, it doesn't matter what their answer was to the 2nd question as the given condition is satisfied.
So, finally, it can be represented as Y/2+Y/4=3Y/4.
Option D is correct

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Re: In a statewide poll, Y people were asked two questions, the only answ [#permalink] New post   30 Oct 2021, 22:35
There are 3 case both yes, 1st Y and 2nd N , 1st N and second Y... Add those we will get 3y/4

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Re: In a statewide poll, Y people were asked two questions, the only answ [#permalink] New post   17 Feb 2022, 08:12
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First find the share of people who did say no to both answers: 3/4 (No in Q1) * 1/3 (No in Q2) = 3/12. Since we are looking for the number of people who did NOT say no both times it is 12 - 3/12 = 9/12 = 3/4. Therefore, Answer D (Y * 3/4) is correct.
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Re: In a statewide poll, Y people were asked two questions, the only answ [#permalink]
17 Feb 2022, 08:12
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