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**NCERT solutions for Maths Playing with numbers Download as PDF**

## NCERT Solutions for Class 6 Maths Playing with numbers

**Class –VI **

**Mathematics (Ex. 3.2)**

**Question1. **What is the sum of any two:

(a)Odd numbe

(b)Even numbe

**Answer:**

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

Example: 1 + 3 = 4, 3 + 5 = 8

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

Example: 2 + 4 = 6, 6 + 8 = 14

**Question** 2. State whether the following statements are true or false:

(a)The sum of three odd numbers is even.

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

(c)The product of three odd numbers is odd.

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

(e)All prime numbers are odd.

(f)Prime numbers do not have any facto

(g)Sum of two prime numbers is always even.

(h)2 is the only even prime number.

(i)All even numbers are composite numbe

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

**Answer:**

(a) False, (b) True, (c) True, (d) False, (e) False, (f) False,(g) False, (h) True, (i) False, (j) True

NCERT Solutions for Class 6 Maths Exercise 3.2

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

**Answer: **17 and 71; 37 and 73; 79 and 97

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

**Answer:**

Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19

Composite numbers: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18

NCERT Solutions for Class 6 Maths Exercise 3.2

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

**Answer: **The greatest prime number between 1 and 10 is ‘7’.

**Question** 6.Express the following as the sum of two odd numbers:

(a) 44

(b) 36

(c) 24

(d) 18

**Answer:**(a) 3 + 41 = 44, (b) 5 + 31 = 36, (c) 7 + 17 = 24, (d) 7 + 11 = 18

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

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

3 and 5;

5 and 7;

11 and 13

NCERT Solutions for Class 6 Maths Exercise 3.2

**Question** 8.Which of the following numbers are prime:

(a) 23

(b) 51

(c) 37

(d) 26

**Answer:** (a) 23 and (c) 37 are prime number

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

**Answer: **90, 91, 92, 93, 94, 95, 96

NCERT Solutions for Class 6 Maths Exercise 3.2

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

(a) 21

(b) 31

(c) 53

(d) 61

**Answer: **(a) 21 = 3 + 7 + 11, (b) 31 = 3 + 11 + 17 , (c) 53 = 13 + 17 + 23, (d) 61 = 19 + 29 + 13

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

[Hint: 3 + 7 = 10]**Answer: **2 + 3 = 5;, 7 + 13 = 20;, 3 + 17 = 20;, 2 + 13 = 15;, 5 + 5 = 10

NCERT Solutions for Class 6 Maths Exercise 3.2

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

(a)A number which has only two factors is called a _______________.

(b)A number which has more than two factors is called a _______________.

(c)1 neither _______________ nor _______________.

(d)The smallest prime number is _______________.

(e)The smallest composite number is _______________.

(f)The smallest even number is _______________.

**Answer:** (a) Prime number, (b) Composite number, (c) Prime number and composite number, (d) 2, (e) 4, (f) 2

## NCERT Solutions for Class 6 Maths Exercise 3.2

NCERT Solutions Class 6 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 6 Maths includes text book solutions from Class 6 Maths Book . NCERT Solutions for CBSE Class 6 Maths have total 14 chapters. 6 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 6 solutions PDF and Maths ncert class 6 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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Math questions

The number of 13 and 31 are prime numbers both these numbers have same digit 1 and 3 find such pairs of prime numbers upto 100