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# Last year in a group of 30 businesses, 21 reported a net

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Director
Joined: 01 Apr 2008
Posts: 904
Schools: IIM Lucknow (IPMX) - Class of 2014
Followers: 18

Kudos [?]: 333 [0], given: 18

Last year in a group of 30 businesses, 21 reported a net [#permalink]  04 Jul 2009, 20:47
00:00

Difficulty:

(N/A)

Question Stats:

67% (02:10) correct 33% (02:19) wrong based on 3 sessions
Last year in a group of 30 businesses, 21 reported a net profit and
did not report a net profit nor invest in foreign markets last year?
(1) last year 12 of the 30 businesses
reported a net profit and had investments
in foreign markets.
(2) last year 24 of the 30 businesses
reported a net profit or invested in
foreign markets, or both.
Manager
Joined: 28 Jan 2004
Posts: 203
Location: India
Followers: 2

Kudos [?]: 15 [0], given: 4

D

n(AUB) = n(A) + n(B) - n(A&B)
Stmt 1:
n(AUB) = 21+15-12 = 24
=> 30-24 = 6 did neither report a net profit nor invest in foreign markets last year
Sufficient

Stmt 2:
30-24 = 6 did not report a net profit nor invest in foreign markets last year
Suffiicient
Director
Joined: 01 Apr 2008
Posts: 904
Schools: IIM Lucknow (IPMX) - Class of 2014
Followers: 18

Kudos [?]: 333 [0], given: 18

I got D too. Answer is B
Current Student
Joined: 13 Jan 2009
Posts: 372
Location: India
Followers: 19

Kudos [?]: 86 [0], given: 1

OA can be wrong

I am also getting D.
Senior Manager
Joined: 21 Jul 2009
Posts: 265
Location: New York, NY
Followers: 1

Kudos [?]: 60 [0], given: 23

Manager
Joined: 13 Aug 2009
Posts: 203
Schools: Sloan '14 (S)
Followers: 3

Kudos [?]: 82 [0], given: 16

Questions like this are best solved using a simple chart:

......................./.....net profit......./........no net profit../
for. market......../..........A............./...............B........../......15
no for. market..../..........C............./...............D........./.......15
......................./.........21............/...............9........../.......30

Note that we are being asked to find the value for D.

From here is it pretty easy to see if the statements are sufficient:

Statement 1:

Essentially we are given the value for A. Using A we can solve for C (21-A). Once we know the value for C is is very easy to find the value for D (15-C).

SUFFICIENT

Statement 2:

We are given the value of A+B+C. It is not necessary to know the individual values to solve for D:
30-(A+B+C) = D

SUFFICIENT

Each statment is sufficient on its own:

Senior Manager
Joined: 16 Jul 2009
Posts: 262
Followers: 3

Kudos [?]: 108 [0], given: 3

Clearly the OA must be wrong..the answer has to be D..
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