Question

In a seminar the number of participants in Hindi, English and French are 42, 63 and 105 respectively.
Find the maximum number of participants, if in each room the same number of participants from the same
subject, are to be seated. Also find the minimum number of rooms required for all the participants.

Answer 1

Answer:

Minimum number of rooms required =Total number of participants /HCF (60,84,108) Prime factorization of 60, 84 and 108 is: 60 = 22 × 3 × 5 84 = 22 × 3 × 7 108 = 22 × 33 HCF = product of smallest power of each common prime factor in the numbers = 22 × 3 = 12 Total number of participants = 60 + 84 + 108 = 252 Therefore, minimum number of rooms required = 252/12 = 21 Thus, minimum number of rooms required is 21Read more on Sarthaks.com - https://www.sarthaks.com/126645/seminar-the-number-participants-hindi-english-and-mathematics-are-and-108-respectively?show=126656#a126656