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

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