What is the minimum number of rooms required during the event?
a) 11 b) 31 c) 41 d) 21
Answers
Answer:
21 is the correct answer
Given : A seminar is being conducted by an educational organization, where the participants will be educators of different subjects. The number of participants in Hindi, English & Mathematics are 60, 84 & 108 respectively
To Find : In each room the same number of participants are to be seated and all of them being in the same subject, hence maximum number participants that can accommodated in each room are
minimum number of rooms required during the event
Solution :
Hindi = 60
English = 84
Maths = 108
Total = 60 + 84 + 108 = 252
60 = 2 x 2 x 3 x 5
84 = 2 x 2 x 3 x 7
108 = 2 x 2 x 3 x 3 x 3
HCF = 2 x 2 x 3 = 12
maximum number participants that can accommodated in each room = 12
minimum number of rooms required during the event = 60/12 + 84/12 + 108/12
= 5 + 7 + 9
= 21
21 rooms required minimum
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