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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] New post 28 Oct 2006, 23:18
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In a nationwide poll, N people were interviewed. If 1/4 of them answered "yes" to question 1, and of those, 1/3 answered "yes" to question 2, whih of the following expressions represents the number of people interviewed who did NOT answer "yes" to both questions?

a. N/7
b. 6N/7
c. 5N/12
d. 7N/12
e. 11N/12
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 [#permalink] New post 29 Oct 2006, 03:37
I'd go with (E) 11N/12

N/4 answered yes to Q1

N/12 answered yes to Q2

Hence those who did not answer yes to both questions would be 1 - N/12 = 11N/12
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 [#permalink] New post 29 Oct 2006, 06:27
zippo wrote:
I'd go with (E) 11N/12

N/4 answered yes to Q1

N/12 answered yes to Q2

Hence those who did not answer yes to both questions would be 1 - N/12 = 11N/12


Yes yes.

Or you can pick numbers, a safe one would be 120, as it is a common multiple.
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Re: PS: Proportions [#permalink] New post 29 Oct 2006, 07:16
Hermione wrote:
In a nationwide poll, N people were interviewed. If 1/4 of them answered "yes" to question 1, and of those, 1/3 answered "yes" to question 2, whih of the following expressions represents the number of people interviewed who did NOT answer "yes" to both questions?

a. N/7
b. 6N/7
c. 5N/12
d. 7N/12
e. 11N/12


N respondents would have fallen under one of 4 possible categories:

Q1 - Y, Q2 - N
Q1 - Y, Q2 - Y - > information provided
Q1 - N, Q2 - N
Q1 - N, Q2 - Y

With the information provided, we can formulate the Q1 and Q2 - Y repondents = (1/3) x (1/x4) x N. = (1/12)xN ......Since Q1- Yes Respondents = (1/4)xN.

The questions is asking for the number that DID NOT answer yes to both questions, which refer to the other 3 combination possilbillities as shown above.

Therfore the answer = N - (no. of those of answered yes to both)
= N - (1/12)N
= (11/12)N.
Re: PS: Proportions   [#permalink] 29 Oct 2006, 07:16
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