In  a  seminar  , the  number  of  participants  in  physics  , chemistery  and  biology   are  60  , 84  , 108   respectively.find  the  miniuem  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 ?

Number of students of Physics = 60

Number of students of Chemistry = 84

Number of students of Biology = 108

For arranging equal number of students of same subject in one room and to keep the number of rooms minimum, we have to find out the HCF of 60, 84, 108.

HCF of 60, 84, 108 = 12

Total number of students = 60 + 84 + 108 = 252

Number of rooms required = Total number of students ÷ Number of students in each room

= 252 ÷ 12

= 21

Thus, 21 rooms are required.

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