Class 6 maths Exercise 3.2 solutions

NCERT mathematics class 6 chapter 3 Playing with Numbers exercise 3.1 solutions are given. You should study the textbook lesson Playing with Numbers very well. You should also observe and practice all example problems and solutions given in the textbook. You can observe the solutions given below and try them in your own method. NCERT maths class 6 solutions Exercise 3.1 Exercise 3.2 Exercise 3.3 Exercise 3.4 Exercise 3.5 Exercise 3.6 Exercise 3.7

NCERT Chapter 3 exercise 3.2 solutions Playing with Numbers class 6 Maths

6th CBSE maths solutions  Chapter 3 Playing with Numbers Exercise 3.2

NCERT class 6 maths Chapter 3 exercise 3.2 solutions Playing with Numbers

Problem 1

1. What is the sum of any two a. odd numbers? b. even numbers?

Solutions:

a. The sum of any two odd numbers is an even number.

Example: 3 + 7 = 10, 5 + 9 = 14

b. The sum of any two even numbers is an even number.

Example: 4 + 6 = 10, 8 + 4 = 12

Problem 2 2. State whether the following statements are True or False:

a. The sum of three odd numbers is even.

Solution : False

b. The sum of two odd numbers and one even number is even.

Solution : True

c. The product of three odd numbers is odd.

Solution : True

d. If an even number is divided by 2, the quotient is always odd.

Solution : False

e. All prime numbers are odd.

Solution : False

f. Prime numbers do not have any factors.

Solution : False

g. Sum of two prime numbers is always even.

Solution : False

h. 2 is the only even prime number.

Solution: True

i. All even numbers are composite numbers.

Solution : False

j. The product of two even numbers is always even.

Solution : True Problem 3

3. The numbers 13 and 31 are prime numbers. Both these numbers have same digits 1 and 3. Find such pairs of prime numbers upto 100.

Solution: 17 and 71 37 and 73 79 and 97 Problem 4

4. Write down separately the prime and composite numbers less than 20.

Solution : Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19. Composite numbers: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18. Problem 5

5. What is the greatest prime number between 1 and 10?

Solution : The greatest prime number between 1 and 10 is 7. Problem 6

6. Express the following as the sum of two odd primes.

a. 44     b. 36     c. 24     d. 18 Solution: a. 44 3 + 41 = 44 b. 36 7 + 29 = 36 c. 24 5 + 19 =24 d. 18 5 + 13 = 18 Problem 7

7. Give three pairs of prime numbers whose difference is 2.

Solution : Twin prime pairs: 3 and 5 5 and 7 9 and 11 Problem 8

8. Which of the following numbers are prime?

a. 23     b. 51       c. 37    d. 26

Solution:

a. 23 and c. 37 are prime numbers.

Problem 9

9. Write seven consecutive composite numbers less than 100 so that there is no prime number between them.

Solution: 90 91 92 93 94 95 96 Problem 10

10. Express each of the following numbers as the sum of three odd primes.

a. 21      b. 31      c. 53      d. 61

Solution : a. 21 = 3 + 7 + 11 b. 31 = 3 + 11 + 17 c. 53 = 11 + 13 + 29 d. 61 = 13 + 19 + 29 Problem 11

11. Write five pairs of prime numbers less than 20 whose sum is divisible by 5.

Solution : 2 + 3 = 5 3 + 7= 10 5 + 5 = 10 2 + 13 = 15 7 + 13 = 20 Problem 12

12. Fill in the blanks:

a. A number which has only two factors is called a ……….

Answer: Prime number

b. A number which has more than two factors is called a ………..

Answer: Composite number

c. 1 is neither ………… nor ……….

Answer : prime number nor composite number.

d. The smallest prime number is ……….

Answer: 2

e. The smallest composite number is ……..

Answer: 2

f. The smallest even number is ……..

Answer: 2 Note: Observe the solutions and try them in your own method. Inter maths solutions SSC maths class 10 solutions NCERT class 7 maths solutions NCERT class 8 chapter exercise 3.3 solutions