In a seminar, the numberof 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.
In a seminar, the numberof 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.
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 participants12=(60+84+108)12=21
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 participants12=(60+84+108)12=21
