Question

A number of students who have opted for 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 the same. What is the minimum number of rooms that should be arranged to meet all these conditions?

Options

• 28

• 60

• 12

• 21

Answer 1

21
Explanation:
HCF of 60, 84 and 108 = 12
So, the number of students in each room = 12
∴ Minimum number of rooms
= `60/12+84/12+108/12`

= 5 + 7 + 9 = 21