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The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is:
(a)13
(b) 65
(c) 875
(d) 1,750
Question 7 - MCQs from NCERT Exemplar - Chapter 1 Class 10 Real Numbers
Last updated at Dec. 16, 2024 by Teachoo
Chapter 1 Class 10 Real Numbers
Serial order wise
- Ex 1.1
- Ex 1.2
- Examples
- Case Based Questions (MCQ)
-
MCQs from NCERT Exemplar
- Past Year MCQ (Maths Standard)
- Euclid's Division Algorithm
- Decimal Expansion
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)
