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# In a class of 100 students, 20 play Football, 20 do not play

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Senior Manager
Joined: 17 May 2005
Posts: 272
Location: Auckland, New Zealand
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In a class of 100 students, 20 play Football, 20 do not play [#permalink]

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10 Jun 2005, 18:10
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In a class of 100 students, 20 play Football, 20 do not play Rugby, 10 play neither of the games. Find the number of students who play both the games.

A. 15
B. 12
C. 10
D. 9
E. 20
Director
Joined: 18 Apr 2005
Posts: 548
Location: Canuckland
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10 Jun 2005, 18:24
cloudz9 wrote:
In a class of 100 students, 20 play Football, 20 do not play Rugby, 10 play neither of the games. Find the number of students who play both the games.

A. 15
B. 12
C. 10
D. 9
E. 20

C.

Since all data ends in zeros, the result must end in zero =>C or E. But if it is E then 80 not 10 students must play neither games.
Senior Manager
Joined: 17 May 2005
Posts: 272
Location: Auckland, New Zealand
Followers: 1

Kudos [?]: 8 [0], given: 0

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10 Jun 2005, 18:30
sparky wrote:
cloudz9 wrote:
In a class of 100 students, 20 play Football, 20 do not play Rugby, 10 play neither of the games. Find the number of students who play both the games.

A. 15
B. 12
C. 10
D. 9
E. 20

C.

Since all data ends in zeros, the result must end in zero =>C or E. But if it is E then 80 not 10 students must play neither games.

i quite liked the part of your answer about the fact that the result should end in zero...very nice..
SVP
Joined: 03 Jan 2005
Posts: 2243
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10 Jun 2005, 21:00
NF=80
NF&NR=10
NF&R=70
NR=20
F&NR=10

F&R=100-10-70-10=10

C

Sparky's trick is very nice. Especially useful when you are running out of time. :b:
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keep on seeking, and you will find;
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