BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Section - 32 Qs - 8

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 645
Joined: Wed Sep 05, 2007 4:37 am
Location: India
Thanked: 34 times
Followed by:5 members

Section - 32 Qs - 8

by camitava » Sat Oct 13, 2007 5:13 am
8.
What percent of the people surveyed use product A or product B or both, but not product C?
(A) 12.5%
(B) 17.5%
(C) 30%
(D) 40%
(E) 60%
And OA is C

But to me it is coming as B. Pls help me frnds...
Attachments
Qs.JPG
Correct me If I am wrong


Regards,

Amitava
Top
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 315
Joined: Thu Aug 17, 2006 10:43 pm
Thanked: 23 times

by Suyog » Sat Oct 13, 2007 6:41 am
The following information is also given with the question.

In a marketing survey for products A, B, and C, 1,000 people were asked which of the products, if any, they use. The three circular regions in the diagram above represent the numbers of people who use products A, B,
and C, according to the survey results. Of the people surveyed, a total of 400 use A, a total of 400 use B, and a total of 450 use C.

Now
People who use only product A =
Total people who use A - ( people who use A & B ) - ( people who use A & C ) - ( people who use A , B & C )
= 400 - 125 - 125 -75
=75

People who use only product B =
Total people who use B - ( people who use A & B ) - ( people who use B & C ) - ( people who use A , B & C )
= 400 - 125 - 100 - 75
= 100

Question is product A or product B or both
So People who use only product A +
People who use only product B +
people who use A & B
75 + 100 +125 = 300

300 is 30% of 1000 people who were asked!

Ans C.
Top
Legendary Member
Posts: 645
Joined: Wed Sep 05, 2007 4:37 am
Location: India
Thanked: 34 times
Followed by:5 members

by camitava » Sat Oct 13, 2007 7:00 am
Thanks Suyog for a quick reply! But as u said -
n a marketing survey for products A, B, and C, 1,000 people were asked which of the products, if any, they use.
How r u getting that 1000? To me total no is coming nearly 825 using the formula -
A u B u C = A + B + C - (A n B) - (B n C) - (C n A) - (A n B n C)
Correct me If I am wrong


Regards,

Amitava
Top
Master | Next Rank: 500 Posts
Posts: 416
Joined: Wed Oct 03, 2007 9:08 am
Thanked: 10 times
Followed by:1 members

by gmatrant » Sat Oct 13, 2007 9:41 am
camitava wrote:Thanks Suyog for a quick reply! But as u said -
n a marketing survey for products A, B, and C, 1,000 people were asked which of the products, if any, they use.
How r u getting that 1000? To me total no is coming nearly 825 using the formula -
A u B u C = A + B + C - (A n B) - (B n C) - (C n A) - (A n B n C)
I guess the formula should be
A u B u C = A + B + C - (A n B) - (B n C) - (C n A) +(A n B n C)
while deleting [-(A n B) - (B n C) - (C n A)] you have removed the center intersection AnBnc thrice, and this evens out the addition of the center zone in A+B+C, now you need to add the center zone (AnBnC)
Top
Legendary Member
Posts: 645
Joined: Wed Sep 05, 2007 4:37 am
Location: India
Thanked: 34 times
Followed by:5 members

by camitava » Sun Oct 14, 2007 11:07 pm
Yop, gmatrant! My apology. The formula will be -
A u B u C = A + B + C - (A n B) - (B n C) - (C n A) +(A n B n C)
But still my question remains unanswered. How u r getting that A u B u C = 1000. Pls give me some suggestions.
Correct me If I am wrong


Regards,

Amitava
Top
Post new topic Post Reply
• Page 1 of 1