Mathematics Class 6 NCERT Solutions: Chapter 3 Playing With Numbers Exercise 3.2-Part 1

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Q.1 What is the sum of any two:

What is the sum of any two:

(a) Odd numbers.

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

Example:

(b) Even numbers.

Answer: The sum of any two even numbers is also an even number.

Example:

Image of Sum of Any Two odd Numbers

Image of Sum of Any Two Odd Numbers

Image of Sum of Any Two odd Numbers

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

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

A. False

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

A. True

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

A. True

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

A. False

(e) All prime numbers are odd.

A. False

(f) Prime numbers do not have any factors.

A. False

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

A. False

(h) 2 is the only even prime number.

A. True

(i) All even numbers are composite numbers.

A. False

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

A. True

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 up to 100.

Answer:

(1) ;

(2) ;

(3)

Q.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

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

Answer:

The greatest prime number between 1 and 10 is ‘7’

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

(a) 44

Answer:

(b) 36

Answer:

(c) 24

Answer:

(d) 18

Answer: