RD Sharma Solutions for Class 6 Maths Exercise 2.7 PDF
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RD Sharma Solutions for Class 6 Maths Chapter 2: Playing with Numbers Exercise 2.7 Download PDF
Access answers to Maths RD Sharma Solutions for Class 6 Chapter 2: Playing with Numbers Exercise 2.7
1. Determine the HCF of the following numbers by using Euclid’s algorithm (i – x):
(i) 300, 450
(ii) 399, 437
(iii) 1045, 1520
Solution:
(i) 300, 450
Taking 450 as dividend and 300 as divisor
We know that the last divisor is 150
Therefore, HCF of 300, 450 is 150.
(ii) 399, 437
Taking 437 as dividend and 399 as divisor
We know that the last divisor is 19
Therefore, HCF of 399, 437 is 19.
(iii) 1045, 1520
Taking 1520 as dividend and 1045 as divisor
We know that the last divisor is 95
Therefore, HCF of 1045, 1520 is 95.
2. Show that the following pairs are co-prime:
(i) 59, 97
(ii) 875, 1859
(iii) 288, 1375
Solution:
(i) 59, 97
Taking 97 as dividend and 59 as divisor
We know that the last divisor is 1.
Therefore, the numbers 59, 97 are co-prime.
(ii) 875, 1859
Taking 1859 as dividend and 875 as divisor
We know that the last divisor is 1.
Therefore, the numbers 875, 1859 are co-prime.
(iii) 288, 1375
Taking 1375 as dividend and 288 as divisor
We know that the last divisor is 1.
Therefore, the numbers 288, 1375 are co-prime.
3. What is the HCF of two consecutive numbers?
Solution:
We know that the HCF of two consecutive numbers is 1.
For example consider 4 and 5 as two consecutive numbers
Taking 5 as dividend and 4 as divisor
We know that the last divisor is 1.
Therefore, HCF of 4 and 5 is 1.
4. Write true (T) or false (F) for each of the following statements:
(i) The HCF of two distinct prime numbers is 1.
(ii) The HCF of two co-prime number is 1.
(iii) The HCF of an even and an odd number is 1.
(iv) The HCF of two consecutive even numbers is 2.
(v) The HCF of two consecutive odd numbers is 2.
Solution:
(i) True.
(ii) True.
(iii) False. The HCF of even number 6 and odd number 9 is 3.
(iv) True.
(v) False. The HCF of numbers 25 and 27 is 1.
RD Sharma Solutions for Class 6 Maths Chapter 2 – Playing with Numbers Exercise 2.7
RD Sharma Solutions Class 6 Maths Chapter 2 Playing with Numbers Exercise 2.7 contains concepts like Euclid’s Algorithm and methods of finding HCF for larger numbers.
Key Features of RD Sharma Solutions for Class 6 Maths Chapter 2: Playing with Numbers Exercise 2.7
- RD Sharma Solutions are created based on the CBSE syllabus and guidelines for Class 6.
- The solutions are provided for all the exercises which are covered in each chapter to help students perform well in the exam.
- It helps students to obtain a clear idea about the concepts, and self-evaluate conceptual knowledge of each chapter.
- The primary aim of providing solutions is to familiarise students with the concepts that are important from an exam perspective.
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