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Question

Half the students of a class are dancing and three-fourths of the remaining are playing cricket. If the remaining 9 students are studying in the library, then find the total number of students in the class.


A

72

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B

80

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C

84

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D

96

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Solution

The correct option is A

72


Let the total number of students be x

According to the question,
Number of students dancing =x2

Number of students remaining =xx2
=x2

Students playing cricket
=(34)(x2)
=3x8

Remaining students =9

(xx2)3x8=9 x8=9 x=8×9 x=72

Hence, the total number of students in the class = 72


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