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Question
National Art convention got registrations from students from all parts of the country, of which 60 are interested in music, 84 are interested in dance and 108 students are interested in handicrafts. For optimum cultural exchange, organisers wish to keep them in minimum number of groups such that each group consists of students interested in the same artform and the number of students in each group is the same. Find the number of students in each group. Find the number of groups in each art form. How many rooms are required if each group will be allotted a room?
Solution
Number of students in each group subject to the given condition = HCF (60, 84, 108)
HCF (60, 84, 108) = 12
Number of groups in Music = `60/12` = 5
Number of groups in Dance = `84/12` = 7
Number of groups in Handicrafts = `108/12` = 9
Total number of rooms required = 21
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