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# In a class of 250 students, 25 are interested in playing

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Manager
Status: Taking heavily leveraged but calculated risks at all times
Joined: 04 Apr 2010
Posts: 187
Concentration: Entrepreneurship, Finance
Schools: HBS '15, Stanford '15
GMAT Date: 01-31-2012
Followers: 1

Kudos [?]: 27 [0], given: 12

In a class of 250 students, 25 are interested in playing [#permalink]  28 Nov 2011, 21:07
00:00

Difficulty:

5% (low)

Question Stats:

92% (02:16) correct 7% (02:27) wrong based on 13 sessions
In a class of 250 students, 25 are interested in playing chess, monopoly and cards, 40 are not interested in any of these games. If 40, 25 and 35 are interested in playing only chess, only monopoly and only cards respectively, how many students are interested in only two of three games?

A. 30
B. 85
C. 35
D. 50
E. 175
Manager
Joined: 16 Sep 2011
Posts: 185
Concentration: Strategy, Operations
Schools: ISB '15
GMAT 1: 720 Q48 V40
GPA: 3.18
WE: Supply Chain Management (Manufacturing)
Followers: 12

Kudos [?]: 33 [0], given: 34

Re: Overlapping sets problem [#permalink]  28 Nov 2011, 22:36
Anasthaesium wrote:
In a class of 250 students, 25 are interested in playing chess, monopoly and cards, 40 are not interested in any of these games. If 40, 25 and 35 are interested in playing only chess, only monopoly and only cards respectively, how many students are interested in only two of three games?
A) 30
B ) 85
c) 35
D) 50
E ) 175

Ans IS B '85' ?? (250-40-40-35-25-25=85)
Manager
Joined: 16 Sep 2011
Posts: 185
Concentration: Strategy, Operations
Schools: ISB '15
GMAT 1: 720 Q48 V40
GPA: 3.18
WE: Supply Chain Management (Manufacturing)
Followers: 12

Kudos [?]: 33 [1] , given: 34

Re: Overlapping sets problem [#permalink]  28 Nov 2011, 22:58
1
KUDOS
my solution : red portion(only 2 games)=85
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Manager
Status: Taking heavily leveraged but calculated risks at all times
Joined: 04 Apr 2010
Posts: 187
Concentration: Entrepreneurship, Finance
Schools: HBS '15, Stanford '15
GMAT Date: 01-31-2012
Followers: 1

Kudos [?]: 27 [0], given: 12

Re: Overlapping sets problem [#permalink]  29 Nov 2011, 00:21
Yeah . I got 85 too. But the OA says 35??
Manager
Joined: 16 Sep 2011
Posts: 185
Concentration: Strategy, Operations
Schools: ISB '15
GMAT 1: 720 Q48 V40
GPA: 3.18
WE: Supply Chain Management (Manufacturing)
Followers: 12

Kudos [?]: 33 [1] , given: 34

Re: Overlapping sets problem [#permalink]  29 Nov 2011, 02:27
1
KUDOS
Anasthaesium wrote:
Yeah . I got 85 too. But the OA says 35??

what is the source? any explanation given?
Director
Joined: 28 Jul 2011
Posts: 588
Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 1

Kudos [?]: 28 [0], given: 16

Re: Overlapping sets problem [#permalink]  29 Nov 2011, 04:10
Anasthaesium wrote:
Yeah . I got 85 too. But the OA says 35??

I am getting 60 is the OA correct? can you plz check again

Here is my solution

Let x be only two people playing games so the equation will be

210=40+25+35+x-25

x=135

when you plot a venn diagram u see a intersection of 3 playing added 3 times so u need to subtract this vale i.e 25*3=75 so we get 60

How is the OA 35??
_________________

Manager
Joined: 16 Sep 2011
Posts: 185
Concentration: Strategy, Operations
Schools: ISB '15
GMAT 1: 720 Q48 V40
GPA: 3.18
WE: Supply Chain Management (Manufacturing)
Followers: 12

Kudos [?]: 33 [0], given: 34

Re: Overlapping sets problem [#permalink]  29 Nov 2011, 04:41
kotela wrote:
Anasthaesium wrote:
Yeah . I got 85 too. But the OA says 35??

I am getting 60 is the OA correct? can you plz check again

Here is my solution

Let x be only two people playing games so the equation will be

210=40+25+35+x-25

x=135

when you plot a venn diagram u see a intersection of 3 playing added 3 times so u need to subtract this vale i.e 25*3=75 so we get 60

How is the OA 35??

HEY you have effectively subtracted 25 four times..... once in your equation 210=40+25+35+x-25.......and again u have subtracted 75....

if you subtract 3 time....that is 135-2*25....then you will also get 85...
Director
Joined: 24 Aug 2009
Posts: 513
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 7

Kudos [?]: 314 [1] , given: 241

Re: Overlapping sets problem [#permalink]  22 Aug 2012, 00:55
1
KUDOS
Total no of students=(a+b+c)+{(a∩b)+(b∩c)+(c∩a)}+(a∩b∩c) + Neither of 3
or
Total no of students= No of students playing exactly 1 game + No of students playing exactly 2 games + No of students playing exactly 3 games +No of students playing Neither game
250 = (40+25+35) +No of students playing exactly 2 games + 25 + 40
250 = 165 + No of students playing exactly 2 games
No of students playing exactly 2 games = 250 - 165 = 85

Hence OA must be B
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Re: Overlapping sets problem   [#permalink] 22 Aug 2012, 00:55
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