The largest number which divides 70 and 125,  leaving remainders 5 and 8, respectively, is: 

(a)13  (b) 65

(c) 875  (d) 1,750

Slide13.JPG

Slide14.JPG

  1. Chapter 1 Class 10 Real Numbers (Term 1)
  2. Serial order wise

Transcript

Question 7 The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is: 13 (b) 65 (c) 875 (d) 1,750 Let’s subtract the remainders from the numbers 70 − 5 = 65 125 − 8 = 117 So, we need to find largest number which divides 65 and 117, and leaves remainder 0 Thus, we need largest number which divides 65 and 117 ∴ We need to find HCF of 65 and 117 Finding HCF of 65 and 117 65 = 5 × 13 117 = 3 × 3 × 13 So, HCF of 65 and 117 = 13 So, correct answer is (A)

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.