Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 29 May 2017, 23:51

### GMAT Club Daily Prep

#### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In a consumer survey, 85% of those surveyed liked at least

Author Message
TAGS:

### Hide Tags

Manager
Joined: 29 Jun 2010
Posts: 248
Schools: LBS, Oxford
Followers: 9

Kudos [?]: 44 [0], given: 12

In a consumer survey, 85% of those surveyed liked at least [#permalink]

### Show Tags

09 Jul 2011, 19:48
00:00

Difficulty:

55% (hard)

Question Stats:

53% (02:15) correct 47% (01:13) wrong based on 72 sessions

### HideShow timer Statistics

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-a-consumer-survey-85-of-those-surveyed-liked-at-least-98018.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Aug 2012, 08:00, edited 2 times in total.
Edited the question and OA.
SVP
Joined: 16 Nov 2010
Posts: 1666
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 34

Kudos [?]: 533 [0], given: 36

### Show Tags

09 Jul 2011, 21:38
Are you sure the answer is D ? I'm getting B as answer.

So we have :

P1 + x + z + 5 = 50

P2 + x + y + 5 = 30

P3 + z + y + 5 = 20

P1 + P2 + P3 + x + y + z + 5 = 85

We need to find x + y + z + 5 = ?

So P1 + P2 + P3 + 2(x + y + z) + 15 - (P1 + P2 + P3 + x + y + z + 5) = 100 - 85

=> x+y+z + 10 = 15

=> x + y + z + 5 = 10

Attachments

Sets.png [ 9.35 KiB | Viewed 2459 times ]

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Current Student
Joined: 26 May 2005
Posts: 564
Followers: 18

Kudos [?]: 215 [0], given: 13

### Show Tags

09 Jul 2011, 21:38
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

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

Im getting 10 , ru sure on the OA?
Manager
Joined: 29 Jun 2010
Posts: 248
Schools: LBS, Oxford
Followers: 9

Kudos [?]: 44 [0], given: 12

### Show Tags

10 Jul 2011, 20:31
Soln: n(1U2U3) = n(1) + n(2) + n(3) - n(1n2) - n(2n3) - n(1n3) + n (1n2n3)
85=50+30+20- [n(1n2) + n(2n3) + n(1n3)] +5
[n(1n2) + n(2n3) + n(1n3)] = 20
Answer = 20+5 = 25 so E
Manager
Joined: 29 Jun 2010
Posts: 248
Schools: LBS, Oxford
Followers: 9

Kudos [?]: 44 [0], given: 12

### Show Tags

10 Jul 2011, 20:45
apologies...I had initially put in D as an asnwer...but now I think its E...

let me know if you think its not correct
Director
Joined: 24 Aug 2009
Posts: 504
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 19

Kudos [?]: 737 [0], given: 276

### Show Tags

21 Aug 2012, 07:55
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

Math Expert
Joined: 02 Sep 2009
Posts: 39066
Followers: 7759

Kudos [?]: 106594 [1] , given: 11630

Re: In a consumer survey, 85% of those surveyed liked at least [#permalink]

### Show Tags

21 Aug 2012, 08:05
1
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%) plus those who liked exactly three products (5%), so 5+5=10% liked more than one product.

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).

Hope it helps.

OPEN DISCUSSION OF THIS QUESTION IS HERE: in-a-consumer-survey-85-of-those-surveyed-liked-at-least-98018.html
_________________
Re: In a consumer survey, 85% of those surveyed liked at least   [#permalink] 21 Aug 2012, 08:05
Similar topics Replies Last post
Similar
Topics:
In a survey it was found that 95% of those surveyed liked mustard and 2 25 Dec 2016, 12:48
In a survey it was found that 75% of those surveyed liked mustard and 1 19 Dec 2016, 09:08
In a survey it was found that 84% of those surveyed liked mustard and 1 13 Dec 2016, 07:37
In a survey it was found that 60% of those surveyed liked honey and 40 3 08 Dec 2016, 08:24
32 In a consumer survey, 85% of those surveyed liked at least 23 06 Apr 2017, 00:01
Display posts from previous: Sort by