Question 6 - MCQs from NCERT Exemplar - Chapter 1 Class 10 Real Numbers

Last updated at April 16, 2024 by

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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Transcript

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 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, Social Science, Physics, Chemistry, Computer Science at Teachoo.