Question

In a school member of Participants in s'Port, mini media Antiadis are 60.84 108 Yes Pectively. Find the minimush number of rooms required In each room the some number of Participants are to be seated all of them being in the some Club. a .How Many Stildents are member of eithers of the clubs? b. How Many Students are ther not Member of either of the Clubs? C. How Many students are only in nutural Club?​

Answer 1

For a seminar with 60 participants in Hindi, 84 in English, and 108 in Mathematics, the minimum number of rooms required is 9, each accommodating 12 participants in the same subject.

To find the minimum number of rooms required for the seminar, we need to determine the greatest common divisor (GCD) of the number of participants in Hindi (60), English (84), and Mathematics (108). The GCD represents the maximum number of participants that can be seated in each room such that all rooms have an equal number of participants in the same subject.

1. **Find the GCD:**

The GCD of 60, 84, and 108 is 12.

2. **Calculate the Number of Rooms:**

To find the minimum number of rooms, divide the total number of participants in each subject by the GCD.

- For Hindi:
`\( (60)/(12) = 5 \)` rooms

- For English:
`\( (84)/(12) = 7 \)` rooms

- For Mathematics:
`\( (108)/(12) = 9 \)` rooms

3. **Determine the Minimum:**

Since we want to find the minimum number of rooms required, we consider the maximum number of rooms needed for any subject, which is 9 rooms for Mathematics.

The question probable may be:

In a seminar, the number of participants in Hindi, English and mathematics are 60, 84 and 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.