Question

in a seminar the number of participants in science,social and mathematics are 60,84,108, 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

Sol:
Number of participants in each room = HCF of 36, 60, 84
36 = 2 x 2 x 3 x 3
60 = 2 x 2 x 3 x 5
84 = 2 x 2 x 3 x 7

HCF = 2 x 2 x 3 = 12
So, the number of students in each class = 12
Total number of students = 36 + 60+ 84 = 180
Number of rooms required = 180 / 12 = 15.