|
Author |
Message |
|
TAGS:
|
|
|
Senior Manager
Joined: 01 May 2004
Posts: 363
Location: USA
Followers: 1
Kudos [?]:
1
[0], given: 0
|
In a consumer survey 85% of respondents liked at least one [#permalink]
 14 Jul 2004, 10:04
Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
In a consumer survey 85% of respondents liked at least one of the three products 1, 2 and 3. 50% of respondents liked product 1, 30% of respondents liked pr.2, 20% of respondents liked pr.3. If 5 % of the people in the survey liked all three products, what percent of the respondents liked more than one of these products?
5, 10, 15, 20, 25
|
|
|
|
|
|
|
Director
Joined: 01 Feb 2003
Posts: 897
Location: Hyderabad
Followers: 1
Kudos [?]:
9
[0], given: 0
|
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)
|
|
|
|
|
|
Senior Manager
Joined: 01 May 2004
Posts: 363
Location: USA
Followers: 1
Kudos [?]:
1
[0], given: 0
|
The OA is different 
|
|
|
|
|
|
Manager
Joined: 16 Jan 2004
Posts: 69
Location: NJ
Followers: 1
Kudos [?]:
0
[0], given: 0
|
50+30+20-Both+10 (2*5) =100
110-B = 100
B=10%
10%i should be the answer. what is the OA
|
|
|
|
|
|
Manager
Joined: 19 Jun 2003
Posts: 165
Followers: 1
Kudos [?]:
3
[0], given: 0
|
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.
|
|
|
|
|
|
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4441
Followers: 10
Kudos [?]:
81
[0], given: 0
|
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.
Hence answer is 10+5=15
_________________
Best Regards,
Paul
|
|
|
|
|
|
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4441
Followers: 10
Kudos [?]:
81
[0], given: 0
|
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
|
|
|
|
|
|
VP
Joined: 13 Nov 2003
Posts: 1031
Location: Florida
Followers: 1
Kudos [?]:
5
[0], given: 0
|
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.
Hence answer is 10+5=15
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
|
|
|
|
|
|
GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4441
Followers: 10
Kudos [?]:
81
[0], given: 0
|
hmmm, I'm missing something here. What does the 2 in "2X" stand for?
_________________
Best Regards,
Paul
|
|
|
|
|
|
Senior Manager
Joined: 21 Mar 2004
Posts: 447
Location: Cary,NC
Followers: 2
Kudos [?]:
2
[0], given: 0
|
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 383 times ]
_________________
ash
________________________
I'm crossing the bridge.........
|
|
|
|
|
|
Joined: 31 Dec 1969
Location: United States
Concentration: Marketing, Other
GMAT 1: 710 Q49 V38
WE: Accounting (Accounting)
Followers: 0
Kudos [?]:
32
[0], given: 54211
|
Ok this is quite simple....
like probability assume all possibilities and simply add
100= 50+30+20+5+x-15
thus x=10
|
|
|
|
|
|
Manager
Joined: 21 Jun 2004
Posts: 59
Followers: 1
Kudos [?]:
0
[0], given: 0
|
ashkg
Even though it takes doign the Venn diagram, it makes more sense, when you write that Venn diagram, Brings back school days!!! 
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Similar topics |
Author |
Replies |
Last post |
|
Similar
Topics:
|
 |
|
|
In a consumer survey, 85% of those surveyed liked at least
|
vasurajiv |
9 |
18 Sep 2003, 15:38 |
|
|
|
|
In a consumer survey, 85% of those surveyed liked at least
|
Rasberry711 |
4 |
19 May 2004, 15:10 |
|
|
|
|
In a consumer survey, 85% of those surveyed liked at least
|
damit |
1 |
22 Aug 2004, 14:04 |
|
|
|
|
In a consumer survey, 85% of those surveyed liked at least
|
lan583 |
8 |
30 Nov 2006, 08:47 |
|
|
|
|
in a consumer survey , 85% of those surveyed likes at least
|
pman |
8 |
28 Mar 2007, 11:21 |
|
|
|
|
|
|
close
