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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

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 survey about potential presidential candidates A and B, [#permalink]

Show Tags

14 Jun 2011, 13:29

1

This post received KUDOS

7

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

66% (03:41) correct
34% (02:23) wrong based on 266 sessions

HideShow timer Statistics

In a survey about potential presidential candidates A and B, 30% of the public likes A and 48% liked B.If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that liked neither.

In a survey about potential presidential candidates A and B, 30% of the public likes A and 48% liked B.If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that liked neither.

a.) 27.5 % b.) 35.5 % c.) 41.5 % d.) 22% e.) 67%

T=100 A=30 B=48 Both=x A only=30-x B only=48-x N=Neither

Given: A only+B only=2*Both 30-x+48-x=2x 78=4x x=19.5

In a survey about potential presidential candidates A and B, 30% of the public likes A and 48% liked B.If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that liked neither.

a.) 27.5 % b.) 35.5 % c.) 41.5 % d.) 22% e.) 67%

T=100 A=30 B=48 Both=x A only=30-x B only=48-x N=Neither

Given: A only+B only=2*Both 30-x+48-x=2x 78=4x x=19.5

no, my friend, you're mistaken. the only reason we subtract "both" is because "A=A only+both" and "B=B only+both". "A+B = A only + B only + 2*both" and, therefore, we subtract "both".
_________________

MGMAT recommends using a small table when dealing with overlapping sets with only 2 variables. So if i try to use it in this problem, it doesn't work.

Like A Don't like A TOTAL Like B x 48-x 48 Don't like B 30-x N 52 TOTAl 30 70 100

Everything is the same as in Fluke's answer except I also calculated total for Don't like A =70 and Don't like B =52. Then if try to get to N i use N=52-30-x N= 2.5 Why is this approach wrong?

no, my friend, you're mistaken. the only reason we subtract "both" is because "A=A only+both" and "B=B only+both". "A+B = A only + B only + 2*both" and, therefore, we subtract "both".

So why don't we use T = A only + B only + 2*both + Neither? Don't understand this part. Why we add the "both" part I mean

Re: In a survey about potential presidential candidates A and B, [#permalink]

Show Tags

18 Aug 2013, 17:12

IEsailor wrote:

In a survey about potential presidential candidates A and B, 30% of the public likes A and 48% liked B.If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that liked neither.

A. 27.5 % B. 35.5 % C. 41.5 % D. 22% E. 67%

i think fraction can't be answer here .........

Solution:

Like both = x So like only one = 2x Like Only A = 30-2x Like Only B = 48-2x

Like neither= 100 – [(30-2x) + (48-2x) + x ] = 100 – [78-3x] = 22 + 3x

From this equation we can back solve. And only 67% satisfies the Answer. [If, 22+3x = 67 or, 3x = 45 or, x =15 ] [So like both 15 %, like only A = 0 %, like only B=18% and neither = 67%] {total = 0+18+15+67 = 100 }

Re: In a survey about potential presidential candidates A and B, [#permalink]

Show Tags

25 Nov 2013, 21:39

One more thing, we can take x = 100 of above & solve it Also, we are calculating in terms of percentage, so answer may be in decimal. (Here we dont know the exact number of people surveyed)
_________________

In a survey about potential presidential candidates A and B, 30% of the public likes A and 48% liked B.If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that liked neither.

A. 27.5 % B. 35.5 % C. 41.5 % D. 22% E. 67%

Number of people who like both = x Number of people who like only 1 but not both = 2x Number of people who like at least 1 candidate = x + 2x = 3x

3x = 30 + 48 - x (the 3x does not include the ones who don't line either candidate. Rest of the formula is the standard overlapping sets formula. The 3x gives the number of people in the overlapping circles) x = 19.5%

In a survey about potential presidential candidates A and B, 30% of the public likes A and 48% liked B.If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that liked neither.

A. 27.5 % B. 35.5 % C. 41.5 % D. 22% E. 67%

i think fraction can't be answer here .........

Also, fraction as the answer is not a problem. If you get that 41.5% people don't like either candidate, it just means that there are at least 200 total people such that 41.5% of 200 is 83 people. You can certainly have 83 people not liking either candidate.
_________________

Re: In a survey about potential presidential candidates A and B, [#permalink]

Show Tags

22 May 2015, 01:43

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.
_________________

Re: In a survey about potential presidential candidates A and B, [#permalink]

Show Tags

03 Oct 2016, 19:43

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.
_________________

Re: In a survey about potential presidential candidates A and B, [#permalink]

Show Tags

16 Oct 2016, 07:11

olivite wrote:

MGMAT recommends using a small table when dealing with overlapping sets with only 2 variables. So if i try to use it in this problem, it doesn't work.

Like A Don't like A TOTAL Like B x 48-x 48 Don't like B 30-x N 52 TOTAl 30 70 100

Everything is the same as in Fluke's answer except I also calculated total for Don't like A =70 and Don't like B =52. Then if try to get to N i use N=52-30-x N= 2.5 Why is this approach wrong?

N=52-(30-z) =>N=52-30+x=22+x = 22+19.5 = 41.5%

gmatclubot

Re: In a survey about potential presidential candidates A and B,
[#permalink]
16 Oct 2016, 07:11

Best Schools for Young MBA Applicants Deciding when to start applying to business school can be a challenge. Salary increases dramatically after an MBA, but schools tend to prefer...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...