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Transcript

Now, Number of people interested in music = 60 Number of people interested in dance = 84 Number of people interested in handicrafts = 108 Finding number of students in each group Since we have to divide students into groups And the number of students in each group will be smaller than 60, 84 or 108 Thus, Number of students in each group = HCF of 60, 84, 108 Finding HCF So, 60 = 2 × 2 × 3 × 5 84 = 2 × 2 × 3 × 7 108 = 2 × 2 × 3 × 3 × 3 Thus, HCF = 2 × 2 × 3 = 12 So, Number of students in each group = 12 Find the number of groups in each art form Since, Number of people interested in music = 60 Number of people interested in dance = 84 Number of people interested in handicrafts = 108 And, Number of students in each group = 12 Now, Number of groups of music = 60/12 Number of groups of dance = 84/12 Number of groups of handicrafts = 108/12 Finding Number of rooms Since each group each group will be allotted a room Total number of rooms = Number of groups in music + dance + handicrafts = 5 + 7 + 9 = 21

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo