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Question

Three-fourth the students of a class are playing footbal and one-third of the remaining are playing cricket. If the remaining 12 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 playing football=34x

Number of students remaining =x3x4
=x4

Students playing cricket
=(13)(x4)
=x12

Remaining students =12

x4x12=12 x6=12 x=6×12 x=72

Hence, the total number of students in the class is 72.


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