MBA Exam

in a class of 74 studends, the number of studends who play cricket is twice the number of students who play hockey, which in turn is twice the number of students who play both the games. What is the maximum number of studends who play only cricket ??

1) 52
2) 48
3) 42
4) 40

Read Solution (Total 1)

42

in a class of 74 students, the number of students who play cricket(4x) is twice the number of students who play hockey (2x), which in turn is twice the number of students who play both the games (x).
If max students are playing games, then
total number of students playing = 4x+2x-x =5x=74

but 74 is not factor of 5.
so 4 students are not playing any game.
In 70 students , 56 students play cricket
28 hockey and 14 both.

max no of students who play only cricket = 56-14=42
12 years agoHelpfull: Yes(0) No(0)

MBA Other Question

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1) 1
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4) 17(10!)
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A school having 270 students provides facilities for playing four games – Cricket, Football, Tennis
and Badminton. There are a few students in the school who do not play any of the four games. It is
known that for every student in the school who plays at least N games, there are two students who
play at least (N – 1) games, for N = 2, 3 and 4. If the number of students who play all the four games
is equal to the number of students who play none, then how many students in the school play
exactly two of the four games?

1) 30
2) 90
3) 60
4) 120