Question

12. In a seminar, the number of participants in English, German and Sanskrit are 45,75 and 135. Find the number of rooms required to house them, if in each room, the same number of participants are to be accommodated and they should be of the same language.

a) 45
b) 17
c) 75
d) 135​

Answer 1

Answer:

Answer: (b) 17 Since, in each room, the same number of participants, of the same language, are to be accommodated, their number in each roomHCF of 45, 75 and 135.HCF (45, 75,135) = 15Each room accommodates 15 participants=> Total no. of rooms required for English = 45/15 = 3Total no. of rooms required for German = 75/15 = 5Total no. of rooms required for Sanskrit= 135/15 = 9Total no. of rooms = 3 + 5 + 9 = 17

Answer 2

Option (b): 17 rooms would be required to house the participants.

Step-by-step explanation:

• Because each room must accommodate the same number of participants speaking the same language, the total number of participants in each room will be:

Given data:

HCF of 45, 75, and 135 would be 15.

Therefore, each room can accommodate 15 participants.

1. The total number of rooms required for English: $45/15$ = $3$
2. The total number of rooms required for German: $75/15$ = $5$
3. The total number of rooms required for Sanskrit: $135/15$ = $9$

Hence, the total number of rooms required are: $3+5+9 = 17$