Important Questions: Class 10 - Chapter 1: Real Numbers
Chapter 1: Real Numbers - Important Questions from Exercise 1.2
1. Express each number as a product of its prime factors:
(a) 440
(b) 5005
(c) 7429
2. Given that HCF(306, 657) = 9, find the LCM.
3. Find the LCM and HCF of the following pairs of integers and verify that HCF × LCM = Product of
the two numbers:
(i) 26 and 91
(ii) 336 and 54
(iii) 14, 22, and 28
4. Check whether 6^n can end with the digit 0 for any natural number n.
5. Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
6. There is a circular path around a park. Sofia takes 18 minutes to complete one round, and Ravi
takes 12 minutes for the same. After how many minutes will they meet at the starting point?
Chapter 1: Real Numbers - Important Questions from Exercise 1.2
1. Express each number as a product of its prime factors:
(a) 440
(b) 5005
(c) 7429
2. Given that HCF(306, 657) = 9, find the LCM.
3. Find the LCM and HCF of the following pairs of integers and verify that HCF × LCM = Product of
the two numbers:
(i) 26 and 91
(ii) 336 and 54
(iii) 14, 22, and 28
4. Check whether 6^n can end with the digit 0 for any natural number n.
5. Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
6. There is a circular path around a park. Sofia takes 18 minutes to complete one round, and Ravi
takes 12 minutes for the same. After how many minutes will they meet at the starting point?
