It is currently 17 Oct 2017, 15:39

### 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 one of thre

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 01 May 2004
Posts: 335

Kudos [?]: 115 [0], given: 0

Location: USA
In a consumer survey, 85% of those surveyed liked at least one of thre [#permalink]

### Show Tags

14 Jul 2004, 10:04
4
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

43% (02:00) correct 57% (01:44) wrong based on 208 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

Kudos [?]: 115 [0], given: 0

Director
Joined: 01 Feb 2003
Posts: 842

Kudos [?]: 122 [1], given: 0

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

### Show Tags

14 Jul 2004, 11:09
1
KUDOS
n(AUBUC) = n(A)+n(B)+n(C)-n(A&B)-n(A&C)-n(B&C)+n(A&B&C)

therefore plugging in the values above
85 = 105-n(A&B)-n(A&C)-n(B&C)
=> n(A&B)+n(A&C)+n(B&C) = 20 (ans)

Kudos [?]: 122 [1], given: 0

Senior Manager
Joined: 01 May 2004
Posts: 335

Kudos [?]: 115 [0], given: 0

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

### Show Tags

14 Jul 2004, 11:49
The OA is different

Kudos [?]: 115 [0], given: 0

Manager
Joined: 16 Jan 2004
Posts: 64

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

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

### Show Tags

14 Jul 2004, 13:57
50+30+20-Both+10 (2*5) =100
110-B = 100
B=10%

10%i should be the answer. what is the OA

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

Manager
Joined: 19 Jun 2003
Posts: 151

Kudos [?]: 30 [0], given: 0

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

### Show Tags

14 Jul 2004, 14:11
pakoo wrote:
50+30+20-Both+10 (2*5) =100
110-B = 100
B=10%

10%i should be the answer. what is the OA

Pakoo, What is 10(2*5) ? Please elaborate your solution a bit, if you could.

Kudos [?]: 30 [0], given: 0

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4285

Kudos [?]: 527 [0], given: 0

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

### Show Tags

14 Jul 2004, 14:19
X=people liking at least 2 products
50+30+20-X-5 = 85
X=10
But you have to add 5 because those 5 like more than 2 products.
_________________

Best Regards,

Paul

Kudos [?]: 527 [0], given: 0

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4285

Kudos [?]: 527 [0], given: 0

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

### Show Tags

14 Jul 2004, 19:01
pakoo wrote:
50+30+20-Both+10 (2*5) =100
110-B = 100
B=10%

10%i should be the answer. what is the OA

Pakoo, you failed to take into account the 15% of people who do not like any products
_________________

Best Regards,

Paul

Kudos [?]: 527 [0], given: 0

Director
Joined: 13 Nov 2003
Posts: 958

Kudos [?]: 172 [0], given: 0

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

### Show Tags

14 Jul 2004, 20:20
Paul wrote:
X=people liking at least 2 products
50+30+20-X-5 = 85
X=10
But you have to add 5 because those 5 like more than 2 products.

Paul, the equation should be like:

50+30+20- 2X-5 = 85
2X = 10
X=5

now, we will add 5% (all 3) = 5+5 = 10

Kudos [?]: 172 [0], given: 0

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4285

Kudos [?]: 527 [0], given: 0

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

### Show Tags

14 Jul 2004, 20:23
hmmm, I'm missing something here. What does the 2 in "2X" stand for?
_________________

Best Regards,

Paul

Kudos [?]: 527 [0], given: 0

Senior Manager
Joined: 21 Mar 2004
Posts: 445

Kudos [?]: 76 [0], given: 0

Location: Cary,NC
Re: In a consumer survey, 85% of those surveyed liked at least one of thre [#permalink]

### Show Tags

14 Jul 2004, 20:37
I used venn diagrams for this and got 10%. Took me a few minutes but was foolproof.

x+y+z+a+b+c+5= 85 eq 1

x+a+c+5 = 50
y+b+c+5 = 30
z+a+b+5 = 20
_________________________
x+y+z+2(a+b+c) + 15 = 100 eq 2
_________________________

eq2 - eq1 gives

a+b+c = 5

final answer is a+b+c+5 = 10%
Attachments

circles.JPG [ 16.04 KiB | Viewed 3579 times ]

_________________

ash
________________________
I'm crossing the bridge.........

Kudos [?]: 76 [0], given: 0

Joined: 31 Dec 1969

Kudos [?]: [0], given:

Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)
Re: In a consumer survey, 85% of those surveyed liked at least one of thre [#permalink]

### Show Tags

15 Jul 2004, 00:58
Ok this is quite simple....
like probability assume all possibilities and simply add

100= 50+30+20+5+x-15

thus x=10

Kudos [?]: [0], given:

Manager
Joined: 21 Jun 2004
Posts: 52

Kudos [?]: 1 [0], given: 0

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

### Show Tags

15 Jul 2004, 21:26
ashkg

Even though it takes doign the Venn diagram, it makes more sense, when you write that Venn diagram, Brings back school days!!!

Kudos [?]: 1 [0], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16760

Kudos [?]: 273 [0], given: 0

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

### Show Tags

19 Jan 2015, 00:52
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.
_________________

Kudos [?]: 273 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128601 [1], given: 12180

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

### Show Tags

19 Jan 2015, 01:39
1
KUDOS
Expert's post
2
This post was
BOOKMARKED
boksana 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
_________________

Kudos [?]: 128601 [1], given: 12180

Re: In a consumer survey, 85% of those surveyed liked at least one of thre   [#permalink] 19 Jan 2015, 01:39
Display posts from previous: Sort by