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A seminar is being conducted by an Educational Organisation, where the participants will be educators for different subjects. The number of participants in Hindi, English, and Mathematics is 60, 84, and 108, respectively. In each room, the same number of participants are to be seated and all of them being in the same subject, hence the maximum number of participants that can be accommodated in each room are

Question

A seminar is being conducted by an Educational Organisation, where the participants will be educators for different subjects. The number of participants in Hindi, English, and Mathematics is 60, 84, and 108, respectively. In each room, the same number of participants are to be seated and all of them being in the same subject, hence the maximum number of participants that can be accommodated in each room are

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Solution

To solve this problem, we need to find the greatest common divisor (GCD) of the number of participants in Hindi, English, and Mathematics. The GCD will give us the maximum number of participants that can be accommodated in each room.

Here are the steps:

  1. The number of participants are: Hindi = 60, English = 84, Mathematics = 108.

  2. We need to find the GCD of 60, 84, and 108.

  3. The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

  4. The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.

  5. The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108.

  6. The common factors of 60, 84, and 108 are: 1, 2, 3, 6, 12.

  7. The greatest common factor (GCD) is 12.

So, the maximum number of participants that can be accommodated in each room is 12.

This problem has been solved

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