Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
In a nationwide poll, P people were asked 2 questions. If 2/5 answered
[#permalink]
Show Tags
08 Aug 2016, 09:08
8
00:00
A
B
C
D
E
Difficulty:
25% (medium)
Question Stats:
76% (02:08) correct 24% (02:39) wrong based on 160 sessions
HideShow timer Statistics
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?
In a nationwide poll, P people were asked 2 questions. If 2/5 answered
[#permalink]
Show Tags
Updated on: 08 Aug 2016, 10:34
Answer is B 3/5 * P
" If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2 " As per this 2/5 P answered yes to q1 and 1/3 of those means answered yes to q2, which means 2/5*P includes the set of people who answered yes to both Q. So it's just P - 2/5*P = 3/5 *P
Correct answer is 13/15 P - 2/5*1/3
Originally posted by Senthil1981 on 08 Aug 2016, 10:19.
Last edited by Senthil1981 on 08 Aug 2016, 10:34, edited 1 time in total.
Re: In a nationwide poll, P people were asked 2 questions. If 2/5 answered
[#permalink]
Show Tags
08 Aug 2016, 10:24
Senthil1981 As far as I understand from the question, it says 1/3 of 2/5*P (who answered Q1 as yes) answered Q2 as yes. and 1/3 of 2/5*P will be 2/15*P. And P - 2/15*P = 13/15*P
_________________
In a nationwide poll, P people were asked 2 questions. If 2/5 answered
[#permalink]
Show Tags
Updated on: 08 Aug 2016, 10:36
Hi 14101992, you're right, I missed the "both" part.
Let's check the question once again 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?
2/5 answered yes to Q1, and "of those" also answered yes to Q2, which means 2/5 includes people who answered yes to Q1 and Q2.And the question is how many answered No, so it's just total - who answered yes. P - 2/5 P.
Originally posted by Senthil1981 on 08 Aug 2016, 10:30.
Last edited by Senthil1981 on 08 Aug 2016, 10:36, edited 1 time in total.
Re: In a nationwide poll, P people were asked 2 questions. If 2/5 answered
[#permalink]
Show Tags
09 Aug 2016, 12:34
1
Bunuel wrote:
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
YesxYes
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
In a nationwide poll, P people were asked 2 questions. If 2/5 answered
[#permalink]
Show Tags
12 Aug 2016, 12:54
Bunuel wrote:
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
Take 300 as the total number of people (as it should be a multiple of 15, 2/5*1/3=2/15 hence for convenience we take 300 as P) Now 120 said Yes to 1 & out of them 40 said Yes to 2, so in the first case we are left with 180, and second case we are left with 120-40=80. The total who didnot say yes to both will be 180+80=260 Feed the value of P in the options. Only 13P/15 gives you 260. Hence E
Re: In a nationwide poll, P people were asked 2 questions. If 2/5 answered
[#permalink]
Show Tags
12 Jan 2018, 10:56
Bunuel wrote:
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
Hello Bunuel, I don't seem to understand this. Per the solutions, answer E will include some of the people who said yes to question 1 and that will make it wrong. Unless my reasoning is not correct
Re: In a nationwide poll, P people were asked 2 questions. If 2/5 answered
[#permalink]
Show Tags
10 Aug 2018, 18:45
Bunuel wrote:
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.
Re: In a nationwide poll, P people were asked 2 questions. If 2/5 answered
[#permalink]
Show Tags
24 Aug 2019, 05:15
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
close
76% (02:08) correct 
