NCERT Class 6 Math Exercise 3.2 Solution of Chapter 3 Playing with Numbers with explanation. Here we provide Class 6 Maths all Chapters in Hindi for cbse, HBSE, Mp Board, UP Board and some other boards.

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NCERT Class 6 Maths Chapter 3 Playing with Numbers Exercise 3.2 Solution in english Medium.

**Class 6 Math Chapter 3 Exercise 3.2 Solution**

**Q 1. What is the sum of any two**

**A. Odd numbers?**

**B. Even numbers?**

**Ans.**

A. Sum of any two odd numbers is always even.

Example : 3+5 = 8,

11+13 = 24

B. Sum of any two even numbers is always even.

Example : 2 + 4 = 6,

4 + 10 = 14

**Q.2. State whether the following statements are True or False?**

**A. The sum of three odd numbers is even.**

**Ans.** False. The sum of three odd numbers is odd.

Example : 1 + 3 + 5 = 9,

3+5+7 = 15

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

**Ans.** True. The sum of two odd numbers and one ever number is even.

Example : 1+3+4=8,

3+5+10=18

**C. The product of three odd numbers is odd.**

**Ans.** True. The product of three odd numbers is odd.

Example : 1×3×5 = 15.

3×5×9 =135

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

**Ans.** False. If an even number is divided by 2, the quotient is even.

Example : 4÷2 = 2

**E. All prime numbers are odd.**

**Ans.** False.

2 is the only prime number is not odd.

**F. Prime numbers do not have any factors.**

**Ans.** False.

Since 1 and number itself are the two factors of any prime number.

**G. Sum of two prime numbers is always even.**

**Ans.** False. The sum of two prime numbers can be even or odd.

Example : 2+3 = 5,

3+5 = 8

**H. 2 is the only even prime number.**

**Ans.** True.

**I. All even numbers are composite numbers.**

**Ans.** False.

Since 2 is a prime number.

**J. The product of two even numbers is always even.**

**Ans.** True. The product of two even numbers is always even.

Example : 2×4 = 8,

4×6 =24

**Q.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.**

**Ans.** Such pairs of prime numbers upto 100 are as:

17 and 71

37 and 73

79 and 97

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

**Ans.** Prime numbers less than 20 are as:

2, 3, 5, 7, 11, 13, 17, 19etc.

Composite numbers less than 20 are as:

4, 6, 8, 9, 10, 12, 14, 15, 16, 18 etc.

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

**Ans.** 7 is the greatest prime number between 1 and 10.

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

**A. 44**

**Ans.** 44 = 3 + 41

**B. 36.**

**Ans.** 36 = 5 + 31

**C. 24**

**Ans.** 24 = 5 + 19

**D. 18**

**Ans.** 18 = 5 + 13

**Q.7 Give three pairs of prime numbers whose differences is 2.**

**Ans.** three pairs of prime numbers whose differences is 2 are as:

3, 5

5, 7

11, 13

**Q.8. Which of the following numbers are prime?**

**A. 23**

**Ans.**

1 × 23 = 23

23 × 1 = 23

Therefore, 23 has only two factors 1 and 23.

Hence, it is a prime number.

**B. 51**

**Ans.**

1 × 51 = 51

3 × 17 = 51

Therefore, 51 has four factors 1, 3, 17 and 51.

Hence, it is not a prime number, it is a composite number.

**C. 37**

**Ans.**

1 × 37 = 37

37 × 1 = 37

Therefore, 37 has two factors 1 and 37.

Hence, it is a prime number.

**D. 26**

**Ans.**

1 × 26 = 26

2 × 13 = 26

Therefore, 26 has four factors 1, 2, 13 and 26.

Hence, it is not a prime number, it is a composite number

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

**Ans.** Seven consecutive composite number less than 100 so that there is no prime number between them are as:

90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

91 = 1, 7, 13, 91

92 = 1, 2, 4, 23, 46, 92

93 = 1, 3, 31, 93

94 = 1, 2, 47, 94

95 = 1, 5, 19, 95

96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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

**A. 21**

**Ans.** 21 = 3 + 5 + 13

**B. 31 **

**Ans.**31 = 3 + 5 + 23

**C. 53**

**Ans.** 53 = 13 + 17 + 23

**D. 61**

**Ans.** 61 = 7 + 13 + 41

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

**Ans.** FIve pairs of prime numbers less than 20 whose sum is divisible by 5 are as:

2, 3

2, 13

17, 3

7, 13

11, 19

**Q. 12. Fill in the blanks:**

**A. A number which has only two factors is called a _________________.**

**Ans.** Prime number.

**B. A number which has more than two factors is called a ___________.**

**Ans.** Composite number.

**C. 1 is neither _________ nor _______.**

**Ans.** Prime number, Composite number.

**D. The smallest prime number is _________.**

**Ans.** 2.

**E. The smallest composite number is _________.**

**Ans.** 4.

**F. The smallest even number is _________.**

**Ans.** 2.