Question

In an examination hall 350 students have to appear in English exam and 210 in mathematics exam .all the students of same subject have to be sit in the same class. If the number of students is same in all classes find the minimum number of rooms.​

Answer 1

here your answer

In the given question, we need to find the minimum number of rooms. The number of room will be minimum if each room accommodates 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.

HCF = 12

Therefore, in each room 12 participants can be seated.

So, number of rooms required = Total number of participants/ 12 = 64 + 84 + 108 / 12 = 21

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