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:

A company conducted a survey about its two brands, A and B. [#permalink]

Show Tags

25 Feb 2013, 01:25

2

This post received KUDOS

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

65% (03:07) correct
35% (02:22) wrong based on 152 sessions

HideShow timer Statistics

A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?

Re: A company conducted a survey about its two brands, A and B [#permalink]

Show Tags

25 Feb 2013, 01:39

2

This post received KUDOS

emmak wrote:

A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?

46

80

90

100

200

100 = x + x - 20 + 23 - 23

x = 60,

So, Product A = 60%, Product B = 40%, Both = 23%, Neither = 23%

23% of the total no. of people should be an integer. So, A,B & C are out.

60% of D and 40% of D are both integers. So, D satisfies all conditions.

So, answer is D.
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Re: A company conducted a survey about its two brands, A and B [#permalink]

Show Tags

25 Feb 2013, 02:46

1

This post received KUDOS

MacFauz wrote:

emmak wrote:

A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?

46

80

90

100

200

100 = x + x - 20 + 23 - 23

x = 60,

So, Product A = 60%, Product B = 40%, Both = 23%, Neither = 23%

23% of the total no. of people should be an integer. So, A,B & C are out.

60% of D and 40% of D are both integers. So, D satisfies all conditions.

So, answer is D.

Even if it does not affect the result and the reasoning, in this case, I believe that the sentence is not completely clear because it should clarify if:

- x contains people who likes ONLY A, or not; - (x - 20) contains people who likes only B, or not.

The result in this case is not affected (D in both cases), but the computation of x and x-20 is.

A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?

46

80

90

100

200

100 = x + x - 20 + 23 - 23

x = 60,

So, Product A = 60%, Product B = 40%, Both = 23%, Neither = 23%

23% of the total no. of people should be an integer. So, A,B & C are out.

60% of D and 40% of D are both integers. So, D satisfies all conditions.

So, answer is D.

Even if it does not affect the result and the reasoning, in this case, I believe that the sentence is not completely clear because it should clarify if:

- x contains people who likes ONLY A, or not; - (x - 20) contains people who likes only B, or not.

The result in this case is not affected (D in both cases), but the computation of x and x-20 is.

Patrizio

x percent of respondents liked product A means that x% contains those who also liked product B. No further clarification is needed here.

Otherwise it would be written: x percent of respondents liked ONLY product A.

Re: A company conducted a survey about its two brands, A and B. [#permalink]

Show Tags

26 Feb 2013, 01:12

AUB = 100 – 23 = 77 % = A + B – A and B 77 = x + x – 20 – 23 X = 60 A – 40 B – 60 Both – 23 Now the only key is that number of people cannot be fraction. All the percentages are integers for option D. Hence answer is D.
_________________

Re: A company conducted a survey about its two brands, A and B. [#permalink]

Show Tags

26 Feb 2013, 02:33

vinaymimani wrote:

emmak wrote:

A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?

A. 46 B. 80 C. 90 D. 100 E. 200

This question doesn't require us to calculate the value of x also. We know that 23 % of something(the number of people) has to be an integer. Thus, as 23 is prime, the "something" should be a multiple of 100. Now to minimize this "something" we can only choose 100.

D.

What if the value of x is 23.5% then 100 would also not suffice. So you need to calculate all the values to make sure that you don't get an integer.
_________________

Re: A company conducted a survey about its two brands, A and B. [#permalink]

Show Tags

26 Feb 2013, 02:40

Pushpinder wrote:

vinaymimani wrote:

emmak wrote:

A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?

A. 46 B. 80 C. 90 D. 100 E. 200

This question doesn't require us to calculate the value of x also. We know that 23 % of something(the number of people) has to be an integer. Thus, as 23 is prime, the "something" should be a multiple of 100. Now to minimize this "something" we can only choose 100.

D.

What if the value of x is 23.5% then 100 would also not suffice. So you need to calculate all the values to make sure that you don't get an integer.

true. agreed. oversight from my end.
_________________

Re: A company conducted a survey about its two brands, A and B [#permalink]

Show Tags

27 Feb 2013, 12:24

MacFauz wrote:

emmak wrote:

A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?

46

80

90

100

200

100 = x + x - 20 + 23 - 23

x = 60,

So, Product A = 60%, Product B = 40%, Both = 23%, Neither = 23%

23% of the total no. of people should be an integer. So, A,B & C are out.

60% of D and 40% of D are both integers. So, D satisfies all conditions.

So, answer is D.

200 also satisfies the condition, but why do you prefer D. Since, 23%, 40% and 60% of 200 is some integer.

Because it mentions to find out the MINIMUM number of people surveyed.

sorry, still don't get it is there a formula you are referring to when finding a minimum? thanks

Hi LinaNY, there's no formula for finding minimum. The formula used above is:

Total = Set X + Set Y - Both + Neither 100 = x + (x-20) - 23 + 23

Since 23 is a prime number, the total cannot be less than 100 and keep it as an integer. Your only two options are 100 and 200. Which one is the minimum? The smaller one. 200 works as well, you'd have 120 people who like X, 80 who like Y, 46 who like both and 46 who like neither. But you can get smaller than this, much like 2/4 can be reduced to 1/2. This yields 60 people who like X, 40 who like Y, 23 who like both and 23 who like neither. Must be D if you want the minimum.

Re: A company conducted a survey about its two brands, A and B [#permalink]

Show Tags

28 Feb 2013, 09:57

VeritasPrepRon wrote:

Since 23 is a prime number, the total cannot be less than 100 and keep it as an integer. Your only two options are 100 and 200. Which one is the minimum? The smaller one.

Thank you very much, Ron. It totally makes sense now.

Re: A company conducted a survey about its two brands, A and B. [#permalink]

Show Tags

19 Jun 2014, 07:18

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.
_________________

A company conducted a survey about its two brands [#permalink]

Show Tags

04 Oct 2014, 00:16

A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?

1)46 2)80 3)90 4)100 5)200
_________________

Sometimes standing still can be, the best move you ever make......

A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number of people surveyed by the company?

1)46 2)80 3)90 4)100 5)200

Merging topics. Please refer to the discussion above.
_________________

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...