Latest MBA Aptitude Question SOLUTION: 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

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(#M40015962) MBA question set theory, logarithms, ratio proportion & variation Keep an EYE

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

Asked In MBA (12 years ago)

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Dr.Dipin Singh  (12 years ago)

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

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