Question

In a seminar the number of participants in Hindi, English and mathematics at 60, 84 and 108 respectively find the minimum number of the room required if in each room the same number of the participants are to be seated and all of them being in the same subject

Answer 1

This problem can be solved by find out the HCF of 60, 84, & 108

60, 84, 108     ---------- divided by 2

30, 42, 54       ---------- divided by 2

15, 21, 27       ---------- divided by 3

5, 7, 9             ---------- Further division not possible

HCF = 2*2*3 = 12

So in each room 12 participants are to be seated

Rooms Required:
Hindi = 60/12 = 5 rooms
English = 84/12 = 7 rooms
Mathematics = 108/12 = 9 rooms

Total rooms required = 5+7+9 = 21 rooms