In a consumer survey, 85% of those surveyed liked at least : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 16 Jan 2017, 02:54

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
Manager
Joined: 05 Jul 2006
Posts: 197
Followers: 1

Kudos [?]: 60 [0], given: 0

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

Show Tags

30 Nov 2006, 07:47
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
Manager
Joined: 17 Dec 2004
Posts: 72
Followers: 2

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

Show Tags

30 Nov 2006, 08:21
I get C - 15.

Assuming that the total number of people surveyed equals 100, we know that 85 people liked one or more of the products. 15 didn't like any.

50 people liked product 1
30 people liked product 2
20 people liked product 3
5 people liked all three products

If you add up all the people who liked the various products, you get a total of 100 people. However, the question tells us that only 85 people liked at least one of the three products.

Therefore, 15 people had to like at least 2 products.

(total people who like more than 1 product)/(total people surveyed) = 15/100.

Therefore, 15% of the people surveyed liked more than one product.

What's the OA?
Manager
Joined: 05 Jul 2006
Posts: 197
Followers: 1

Kudos [?]: 60 [0], given: 0

Show Tags

30 Nov 2006, 08:25
not C

when do we use these formulas?

n(1U2U3) = n(1) + n(2) + n(3) - n(1n2) - n(2n3) - n(1n3) + n (1n2n3)

n(1U2U3) = n(1) + n(2) + n(3) - n(1n2) - n(2n3) - n(1n3) + 2(1n2n3)
SVP
Joined: 05 Jul 2006
Posts: 1743
Followers: 6

Kudos [?]: 313 [0], given: 49

Show Tags

30 Nov 2006, 08:39
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

My answer is B IF RIGHT I CAN EXPLAIN
Manager
Joined: 01 Feb 2006
Posts: 78
Location: New York
Followers: 1

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

Show Tags

30 Nov 2006, 09:15
I'm getting B too.

if , Product 1 & 2 = a
Product 1 & 3 = b
Product 2 & 3 = c

then, we have to find (a + b + c +5)

From stem,

85 = 50 + 30 + 20 - a - b -c - 2*5 ( subtract the 5% twice, since it occurs 3 times in a Venn Diagram)

or, a + b +c = 5.

What did I do wrong ?
Director
Joined: 05 Feb 2006
Posts: 898
Followers: 3

Kudos [?]: 107 [0], given: 0

Show Tags

30 Nov 2006, 23:19
It is E....

Using venn diagram you come up with the answer 10%

But then you look at the question and you see that you picked that from 85% of the people in the survey who liked at least one product.... therefore another 15% liked at least 2 products...

10+15=25%....
Senior Manager
Joined: 01 Oct 2006
Posts: 497
Followers: 1

Kudos [?]: 32 [0], given: 0

Show Tags

01 Dec 2006, 00:24
SimaQ wrote:
It is E....

Using venn diagram you come up with the answer 10%

But then you look at the question and you see that you picked that from 85% of the people in the survey who liked at least one product.... therefore another 15% liked at least 2 products...

10+15=25%....

I have a doubt here does'nt liking at least one cover all conditions.

My answer choice is also E and the working is

100 = people liking1 -people liking both +people liking all 3 + None
100 = 50+30+20 -both+5+15
both =20
People liking at least 2 or more = people liking both + people liking 3
= 20 +5=25

But if venn digrams are used one ends with choice B
VP
Joined: 28 Mar 2006
Posts: 1381
Followers: 2

Kudos [?]: 31 [0], given: 0

Show Tags

01 Dec 2006, 04:21
sujayb wrote:
I'm getting B too.

if , Product 1 & 2 = a
Product 1 & 3 = b
Product 2 & 3 = c

then, we have to find (a + b + c +5)

From stem,

85 = 50 + 30 + 20 - a - b -c - 2*5 ( subtract the 5% twice, since it occurs 3 times in a Venn Diagram)

or, a + b +c = 5.

What did I do wrong ?

It is correct...I too got the same
Senior Manager
Joined: 20 Feb 2006
Posts: 373
Followers: 1

Kudos [?]: 25 [0], given: 0

Show Tags

02 Dec 2006, 15:08
yogeshsheth wrote:

I have a doubt here does'nt liking at least one cover all conditions.

My answer choice is also E and the working is

100 = people liking1 -people liking both +people liking all 3 + None
100 = 50+30+20 -both+5+15
both =20
People liking at least 2 or more = people liking both + people liking 3
= 20 +5=25

But if venn digrams are used one ends with choice B

Should it not be - 2*(5) because you've counted the people who like all three 3 times in the 50 + 30 + 20?
02 Dec 2006, 15:08
Display posts from previous: Sort by