Of 50 persons, 20% have heart problem, 8% have both heart problem and heavy blood pressure, how many of them have heart problems but don't have heavy blood pressure?
answer seems easy - 6 , but oa given with explanation is [spoiler]100 = 20 -8 + X;
X = 88;
Number of people = .88 * 50 = 40 + 4 = 44
[/spoiler]
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
heart problem
This topic has expert replies
-
MakeUrTimeCount
- Master | Next Rank: 500 Posts
- Posts: 104
- Joined: Sun Dec 11, 2011 1:25 pm
- Thanked: 11 times
- Followed by:3 members
1st of all you have put the question in wrong catagory. It should go to PS, not DS.
Anyways,
Use Simple Set formula:
S = A + B - (A and B)
Here Total number of People = S = 50
No of ppl with heart problem = A = 20%S = 10
No of ppl with heavy BP = B
No of ppl with both problems = (A and B) = 8%S = 4
1) Number of ppl with heart problem, but without any heavy BP:
A - (A and B) = 10 - 4 = 6
2) Number of people with heavy BP:
=> 50 = 10 + B - 4
=> B = 44
Hope it helps
Anyways,
Use Simple Set formula:
S = A + B - (A and B)
Here Total number of People = S = 50
No of ppl with heart problem = A = 20%S = 10
No of ppl with heavy BP = B
No of ppl with both problems = (A and B) = 8%S = 4
1) Number of ppl with heart problem, but without any heavy BP:
A - (A and B) = 10 - 4 = 6
2) Number of people with heavy BP:
=> 50 = 10 + B - 4
=> B = 44
Hope it helps
GMAT/MBA Expert
-
Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
People with heart problem = 20% of 50 = 0.20 * 50 = 10mariah wrote:Of 50 persons, 20% have heart problem, 8% have both heart problem and heavy blood pressure, how many of them have heart problems but don't have heavy blood pressure?
answer seems easy - 6 , but oa given with explanation is [spoiler]100 = 20 -8 + X;
X = 88;
Number of people = .88 * 50 = 40 + 4 = 44
[/spoiler]
People with both heart problem and heavy blood pressure = 8% of 50 = 0.08 * 50 = 4
The following venn diagram represents this:
Therefore, people with heart problems but don't have heavy blood pressure = 6
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
-
[email protected]
- Legendary Member
- Posts: 934
- Joined: Tue Nov 09, 2010 5:16 am
- Location: AAMCHI MUMBAI LOCAL
- Thanked: 63 times
- Followed by:14 members
The answer has to be a 6. It does not need any further explanation...
it is PS question...
it is PS question...
IT IS TIME TO BEAT THE GMAT
LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!
Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!
Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
