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 350,000 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 consumer survey, 85% of those surveyed liked at least [#permalink]
09 Jul 2011, 18:48

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

52% (02:11) correct
48% (00:58) wrong based on 58 sessions

In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?

In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?

A) 5 B) 10 = C) 15 D) 20 E) 25

Use the forumla ; Total = Group1 + Group2 + Group3 - (sum of 2-group overlaps) - 2*(all three) + Neither 100 = 50 + 30 + 20 - ( sum of 2) -2(5) +15 100 = 105-( sum of 2) 5 = sum of 2 so more than 1 = 10

Re: consumer survey... [#permalink]
21 Aug 2012, 06:55

Alchemist the answer has to be B i.e. 10% (A∪B∪C)=(A+B+C)-{(A∩B)+(B∩C)+(C∩A)}+(a∩b∩c) 85 = (50 + 30 + 20) - {(A∩B)+(B∩C)+(C∩A)} 5 {(A∩B)+(B∩C)+(C∩A)} = 20 But this intersection of groups counted (a∩b∩c) thrice thus we must subtract 3(a∩b∩c) from {(A∩B)+(B∩C)+(C∩A)} in order to calculate no of people who are part of exactly 2 groups. No of people who are exactly in 2 groups = {(A∩B)+(B∩C)+(C∩A)}-3(a∩b∩c) = 20 - 3(5)= 5 No of people who are either in exactly 2 groups or 3 groups = 5 +(a∩b∩c) = 5 + 5 = 10%

I hope this is clear.

Kindly Update the OA as B _________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS. Kudos always maximizes GMATCLUB worth-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Re: In a consumer survey, 85% of those surveyed liked at least [#permalink]
21 Aug 2012, 07:05

1

This post received KUDOS

Expert's post

Alchemist1320 wrote:

In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?

A. 5 B. 10 C. 15 D. 20 E. 25

As 85% of those surveyed liked at least one of three products then 15% liked none of three products.

Total = {liked product 1} + {liked product 2} + {liked product 3} - {liked exactly two products} - 2*{liked exactly three product} + {liked none of three products}

\(100=50+30+20-x-2*5+15\) --> \(x=5\), so 5 people liked exactly two products. More than one product liked those who liked exactly two products, (5%) plusthose who liked exactly three products (5%), so 5+5=10% liked more than one product.

Answer: B.

For more check: formulae-for-3-overlapping-sets-69014.html (there is my post in the end of the first page about the formulas of 3 overlapping sets with theory, diagrams and examples).

Hey, Last week I started a few new things in my life. That includes shifting from daily targets to weekly targets, 45 minutes of exercise including 15 minutes of yoga, making...

This week went in reviewing all the topics that I have covered in my previous study session. I reviewed all the notes that I have made and started reviewing the Quant...

I started running as a cross country team member since highshcool and what’s really awesome about running is that...you never get bored of it! I participated in...