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Question 3 - Euclid's Division Algorithm - Chapter 1 Class 10 Real Numbers

Last updated at May 29, 2023 by

Ex 1.1, 3 - An army contingent of 616 members is to march - Ex 1.1

Ex 1.1, 3 - Chapter 1 Class 10 Real Numbers - Part 2
Ex 1.1, 3 - Chapter 1 Class 10 Real Numbers - Part 3

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Ex 1.1 , 3 (Introduction) An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march? Suppose 12 members will march behind 4 members Maximum number of columns = 4 = HCF of 12 & 4 Similarly , we will do in this question Ex 1.1 , 3 An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march? Maximum number of columns = HCF of 616 and 32 Using Euclid’s division algorithm Since 616 > 32 We divide 616 by 32 We divide 616 by 32 Since the remainder is not 0 We divide 32 by 8 Hence the HCF of 616 and 32 is 8 Therefore, Maximum number of columns = HCF of 61 and 32 = 8

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.