CLASS 10 CBSE MATHEMATICS NCERT ALL TEXT BOOK SOLUTIONS -CHAPTER 1 REAL NUMBERS

 

CHAPTER 1 - REAL NUMBERS NCERT SOLUTIONS

 

Exercise 1.1

The contents of Class 10 NCERT Exercise 1.1 have changed due to the syllabus rationalization (effective from the 2023-24 academic year).

📚 New/Current NCERT Exercise 1.1 Questions (Fundamental Theorem of Arithmetic)

The new Exercise 1.1 focuses on prime factorization and its applications.

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

(i) 140

(ii) 156

(iii) 3825

(iv) 5005

(v) 7429

Question 2: Find the LCM and HCF of the following pairs of integers and verify that LCM X HCF = {product of the two numbers}.

(i) 26 and 91

(ii) 510 and 92

(iii) 336 and 54

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

(i) 12, 15 and 21

(ii) 17, 23 and 29

(iii) 8, 9 and 25

Question 4: Given that {HCF}(306, 657) = 9, find {LCM}(306, 657).

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

Question 6: Explain why 7x11x13+13 and 7x6x5x4x3x2x1+5 are composite numbers.

Question 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?