nonameee 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, which 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
Bunuel, can you please look at this question. I personally got E for the answer. But after giving it some thought, I started to doubt it. My reasoning goes like this:
Total: 36
Yes to 1: 9
Yes to 1 and Yes to 2: 1/3 * 9 = 3
No to 1: 36-9 = 27
No to 1 No to 2: ?
No to 1 Yes to 2: ?
So, I don't know how we can calculate No 1 No to 2. I guess that's what the question asks.
Thank you.
No, the question asks for {No,No}, {No,Yes}, {Yes,No} any combination but {Yes,Yes}: "the number of people interviewed who
did NOT answer "yes" to both questions".
If we use your example then: 1/4th of 36 or 9 people answered YES to question 1.
Of those, 1/3 answered "yes" to question 2, so 1/3rd of 9 or
3 people answered YES to BOTH question 1 and 2. So YES to both questions answered 3/36=1/12 of N people interviewed and 1-1/12=11/12 of N people interviewed did NOT answer "yes" to both questions.
Hope it's clear.
Is their any other way of solving such questions? I didn't understand it completely.
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