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Question

Number of students who have opted for the subjects A, B and C are 60,84 and 108 respectively. The examination is to be conducted for these students such that only the students of the same subject are allowed in one room. Also the number of students in each room must be same. What is the minimum number of rooms that should be arranged to meet all these conditions?

A
28
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B
60
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C
12
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D
21
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Solution

The correct option is C 21
Student opted subject A, B and C are 60,84 and 108.
By taking HCF of 60, 84 and 108.
HCF=12
Which means there should 12 students in each room.
No. of rooms for subject A=6012=5
No. of rooms for subject B=8412=7
No. of rooms for subject C=10812=9
Total no. of rooms =7+5+9=21.

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