Check sibling questions

If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is

(A) 4   (B) 2

(C) 1   (D) 3

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Question 6 If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is (A) 4 (B) 2 (C) 1 (D) 3 Finding HCF of 65 and 117 65 = 5 × 13 117 = 3 × 3 × 13 So, HCF of 65 and 117 = 13 Now, HCF = 65m – 117 13 = 65m − 117 13 + 117 = 65m 130 = 65m 65m = 130 m = 130/65 m = 2 So, correct answer is (B)

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.