Question
Mon July 02, 2012 By:

In a seminar,the number of participants in hindi,english and maths are 60 84 108 respectively.find the minimum no of rooms required if in each room the same no of participants are to be seated and all of them being in the same subject

Expert Reply
Tue July 03, 2012
Here are a few tips to recognise what needs to be determined:

If the problem asks for maximum  things, like  find the maximum numbers of rooms required, greatest size of a measuring can, etc  then we need to find HCF, 

If the problem asks for simultaneous reoccurrence of events or minimum numbers then we need to find the LCM.

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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