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Chapter 1 Class 10 Real Numbers
Serial order wise

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Question 4 The greatest number which when divided by 1251, 9377 and 15628 leaves remainder 1, 2 and 3 respectively is (a) 575 (b) 450 (c) 750 (d) 625Let’s subtract the remainders from the numbers 1251 − 1 = 1250 9377 − 2 = 9375 15628 − 3 = 15625 So, we need to find largest number which divides 1250, 9375, and 15625, and leaves remainder 0 Thus, we need largest number which divides 1250, 9375, and 15625 ∴ We need to find HCF of 1250, 9375, and 15625 Finding HCF of 1250, 9375 and 15625 Thus, 1250 = 2 × 5 × 5 × 5 × 5 9375 = 3 × 5 × 5 × 5 × 5 × 5 15625 = 5 × 5 × 5 × 5 × 5 × 5 ∴ HCF of 1250, 9375, and 15625 = 5 × 5 × 5 × 5 = 625 So, correct answer is (d) 2 1250 5 625 5 125 5 25 3 9375 5 3125 5 625 5 125 5 25 5 15625 15625 3125 5 625 5 125

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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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.