Question

under which category does the maximum number of participate fall​

Answer 1

Answer:

The Number of room will be minimum if each room accomodates maximum 

number of participants. Since in each room the same number of participants 

are to be seated and all of them must be of the same subject. Therefore, the 

number of participants in each room must be the HCF of 60,84 and 

108. The prime factorisations of 60,84 and 108 are as under.

60=22×3×5,84=22×3×7 and 108=22×33

∴ HCF of 60,84 and 108 is 22×3=12

Therefore, in each room 12 participants can be seated.

∴ Number of rooms required=12Total number of participants

                                                          =1260+84+108=12252=21