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

(a)13 

(b) 65

(c) 875 

(d) 1,750

 

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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)

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