NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.2 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.2.

- Playing With Numbers Class 6 Ex 3.1
- Playing With Numbers Class 6 Ex 3.3
- Playing With Numbers Class 6 Ex 3.4
- Playing With Numbers Class 6 Ex 3.5
- Playing With Numbers Class 6 Ex 3.6
- Playing With Numbers Class 6 Ex 3.7

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 6 |

Subject |
Maths |

Chapter |
Chapter 3 |

Chapter Name |
Playing With Numbers |

Exercise |
Ex 3.2 |

Number of Questions Solved |
12 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.2

Question 1.

**What is the sum of any two :**

**(a)** Odd numbers

**(b)** Even numbers.

Solution :

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

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

Question 2.

**State whether the following statements are True or False :**

- The sum of three odd numbers is even.
- The sum of two odd numbers and one even number is even.
- The product of three odd numbers is odd.
- If an even number is divided by 2, the quotient is always odd.
- All prime numbers are odd.
- Prime numbers do not have any factors.
- Sum of two prime numbers is always even.
- 2 is the only even prime number.
- All even numbers are composite numbers.
- The product of two even numbers is always even.

Solution :

- This statement is false.
- This statement is true.
- This statement is true.
- This statement is false.
- This statement is false.
- This statement is false.
- This statement is false.
- This statement is true.
- This statement is false.
- This statement is true.

Question 3.

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

Solution :

All other such pairs of prime numbers up to 100 are as follows :

17 and 71; 37 and 73; 79 and 97.

Question 4.

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

Solution :

Question 5.

What is the greatest prime number between 1 and 10?

Solution :

The greatest prime number between 1 and 10 is 7.

Question 6.

**Express the following as the sum of two odd primes :**

**(a)** 44

**(b)** 36

**(c)** 24

**(d)** 18.

Solution :

**(a)** 44 = 3+41

**(b)** 36 = 5 + 31

**(c)** 24 = 5+19

**(d)** 18 = 5+13.

Question 7.

Give three pairs of prime numbers whose difference is 2.

[**Remark:** Two prime numbers whose difference is 2 are called twin primes],

Solution :

The three pairs of prime numbers, whose difference is 2, are as follows :

3, 5 ; 5, 7 ; 11, 13.

Question 8.

**Which of the following numbers are prime?**

**(a)** 23

**(b)** 51

**(c)** 37

**(d)** 26.

Solution :

**(a)** 23,

**(c)** 37 are prime numbers.

Question 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.

Question 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 + 5 + 13

**(b)** 31 = 3 + 5 + 23

**(c)** 53 = 13+ 17 + 23

**(d)** 61 =7;+ 13+41.

Question 11.

Write five pairs of prime numbers below 20 whose sum is divisible by 5. (Hint: 3 + 7 – 10).

Solution :

2, 3 ; 2, 13 ; 3, 17 ; 7, 13 ; 11, 19.

Question 12.

**Fill in the blanks in the following :**

- A number which has only two factors is called a
- A number which has more than two factors is called a
- 1 is neither nor
- The smallest prime number is
- The smallest composite number is
- The smallest even number is

Solution :

- A number which has only two factors is called a prime number.
- A number which has more than two factors is called a composite number.
- 1 is neither prime number nor composite number.
- The smallest prime number is 2.
- The smallest composite number is 4.
- The smallest even number is 2.

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