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

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Senior Manager
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Joined: 17 May 2005
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In a class of 100 students, 20 play Football, 20 do not play [#permalink] New post 10 Jun 2005, 17:10
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
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Re: Rugby and Football [#permalink] New post 10 Jun 2005, 17:24
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
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Re: Rugby and Football [#permalink] New post 10 Jun 2005, 17:30
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.. :)
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 [#permalink] New post 10 Jun 2005, 20:00
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:
_________________

Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.

  [#permalink] 10 Jun 2005, 20:00
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In a class of 100 students, 20 play Football, 20 do not play

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