# Real Numbers exercise 1.1 maths class 10 solutions NCERT

Class 10 mathematics NCERT chapter 1 Real Numbers exercise 1.1 solutions are given.

You must study the textbook lesson Real Numbers very well.

You should observe and practice the example problems and solutions are given in the textbook.

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## Solutions for exercise 1.1 class 10 maths NCERT

Chapter 1

Real Numbers

Exercise 1.1

1. Express each number as a product of its prime factors.

i. 140,. ii. 156,. iii. 3825, iv. 5005,. vi. 7429

2. Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.

i. 26 and 91. ii. 510 and 92. iii. 336 and 54

3. Find the LCM and HCF of the following integers by applying the prime factorisation method.

i. 12, 15 and 21. iii. 17, 23 and 29. iii. 8, 9 and 25

### Chapter 1 exercise 1.1 solutions maths class 10 NCERT

4. Given that HCF (306, 657) = 9, find LCM (306, 657).

5. Check whether 6^n can end with the digit 0 for any natural number n.

6. Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × × 4 × 3 × 2 × 1 + 5 are composite numbers.

7. There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

Note: Observe the solutions and try them in your own method.

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