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# In a nationwide poll, N people were interviewed. If 1/4 of

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In a nationwide poll, N people were interviewed. If 1/4 of [#permalink]  08 Jul 2006, 09:09
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In a nationwide poll, N people were interviewed. If 1/4 of them answered â€œyesâ€
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Re: PS: Poll results [#permalink]  08 Jul 2006, 09:16
[quote="jaynayak"]In a nationwide poll, N people were interviewed. If 1/4 of them answered â€œyesâ€
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[#permalink]  08 Jul 2006, 11:08

If:
- (1/4)N answer YES to only Q1
- (1/4)N*(1/3) answer YES to only Q2

Then [(1/4)+(1/12)]N answer YES to both questions.

So, people who do not answer YES to both questions is:

N-(1/3)N=(2/3)N, but I dont see it in the answers.
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[#permalink]  09 Jul 2006, 01:01
If algreba ain`t your cup of tea, then just pick 12 as the total number of people.

12/4=3 ---> 3/3 ---.> 1

12-1= 11

Just plug 11 in and find the answer that yields 12.

(E)
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[#permalink]  09 Jul 2006, 07:41
Sorry for asking, but I'm confused...

In your example, 1 is just a person who answers yes to question 2. But we are looking for both questions, so we have to include the 3 persons who answer yes to question 1 and the 1 person who answer yes to question 2. So, it should be 1+3=4. Then the number of people who answer no to both questions would be: 12-4=8

I remember this question from the OG 11, and I know the OA is E. But still..
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Re: PS: Poll results [#permalink]  09 Jul 2006, 11:54
[quote="jaynayak"]In a nationwide poll, N people were interviewed. If 1/4 of them answered â€œyesâ€
Re: PS: Poll results   [#permalink] 09 Jul 2006, 11:54
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# In a nationwide poll, N people were interviewed. If 1/4 of

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