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Bunuel
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In a nationwide poll, P people were asked 2 questions. If 2/5 answered 08 Aug 2016, 09:08
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75% (02:02) correct 25% (02:39) wrong based on 433 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?

A. 2/15*P
B. 3/5*P
C. 3/4*P
D. 5/6*P
E. 13/15*P
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E
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In a nationwide poll, P people were asked 2 questions. If 2/5 answered 08 Aug 2016, 10:14
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no of people polled who did not answer “yes” to both questions = P - no of people polled who answered “yes” to both questions

no of people who answered yes for the 2nd question = 1/3 * 2/5 * P = 2/15*P

no of people polled who did not answer “yes” to both questions = P - 2/15*P = 13/15*P

Hence, E will be the answer.
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In a nationwide poll, P people were asked 2 questions. If 2/5 answered 09 Aug 2016, 12:34
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Bunuel
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


Yes xYes

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

option E is the correct answer.
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In a nationwide poll, P people were asked 2 questions. If 2/5 answered 09 Aug 2016, 23:31
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What we need ? Total number of folks who dint say yes to both Q1 and Q2 in terms of P

ie : Q1N*Q2Y + Q1Y*Q2N + Q1N*Q2N

Q1N*Q2Y + Q1N*Q2N = 3/5P
Q1Y*Q2N = 4/15P

3/5 + 4/15 = 13/15P (E)

I wanted to draw a table with Q1Y Q2Y and Q1N and Q2N but could not align it properly
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In a nationwide poll, P people were asked 2 questions. If 2/5 answered 10 Aug 2018, 18:45
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Bunuel
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

The number of people who answered yes to both questions is (2/5)P x 1/3 = (2/15)P, so (13/15)P did not answer yes to both questions.

Answer: E
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In a nationwide poll, P people were asked 2 questions. If 2/5 answered 26 Jul 2022, 00:27
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Doesn't "did not answer yes to both questions" mean answer no to Q1 and Q2? I'm very confused.
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MayankJain23
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In a nationwide poll, P people were asked 2 questions. If 2/5 answered 28 Jan 2025, 23:38
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I feel the same. Hence I ended up marking 3/5 as the answer.

ska7wn
Doesn't "did not answer yes to both questions" mean answer no to Q1 and Q2? I'm very confused.
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In a nationwide poll, P people were asked 2 questions. If 2/5 answered 29 Jan 2025, 00:29
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MayankJain23
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

I feel the same. Hence I ended up marking 3/5 as the answer.

ska7wn
Doesn't "did not answer yes to both questions" mean answer no to Q1 and Q2? I'm very confused.

"...the number of people polled who did not answer 'yes' to both questions" means all cases except (Yes, Yes). This includes (No, No), (No, Yes), and (Yes, No).
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