Bailey stayed with Nakesha?

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Mon Dec 14, 2009 12:59 am

Bailey visited Nakesha on vacation. In the mornings, they both would go for yoga. In the evenings they would play tennis. To have more fun, they indulge only in one activity per day, i.e., either they went for yoga or played tennis each day. There were days when they were lazy and stayed home all day long. There were 24 mornings when they did nothing, 14 evenings when they stayed at home, and a total of 22 days when they did yoga or played tennis. For how many days Bailey stayed with Nakesha?

(A) 24
(B) 30
(C) 32
(D) 36
(E) 38

The mind is everything. What you think you become. –Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
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Source: Beat The GMAT — Problem Solving | Mon Dec 14, 2009 12:59 am

mbaonmind: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Tue Aug 04, 2009 10:54 pm; Location: Bangalore; Thanked: 6 times

by mbaonmind » Mon Dec 14, 2009 3:18 am

IMO B

sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Mon Dec 14, 2009 4:17 am

mbaonmind wrote:IMO B

dear mbaonmind, it will be of use if you explain your point with your answers here. you got it right by the way

The mind is everything. What you think you become. –Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

valleeny: Senior | Next Rank: 100 Posts; Posts: 59; Joined: Mon Nov 16, 2009 4:54 pmFollowed by: 1 member; Thanked: 8 times

by valleeny » Mon Dec 14, 2009 6:20 am

Easier illustrated with a Venn diagram.

But imagine a Venn diagram with 2 sets non overlapping

Let yoga = x, Tennis = z and everything else outside the two sets = y

Therefore, form 3 equations

x+z=22
x+y=24
y+z=14

Solve to get x=16, y=8, z=6

Total no. of days = x+y+z = 30 Ans B

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