Question

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

Answer 1

Minimum number of rooms required = (Total number of participants) 

HCF (60, 84,108) ……..(1)

Find HCF of 60, 84 and 108

60 = 2² x 3 x 5

84 = 2² x 3 x 7

108 = 2² x 3³

HCF = 2 x 2 x 3 = 12

Form given: Total number of participants = 60 + 84 + 108 = 252

From Equation (1),

Minimum number of rooms required = 252/12 = 21