NCERT Solutions Class 6th Math Chapter – 3 Playing With Numbers
Textbook | NCERT |
Class | 6th |
Subject | Mathematics |
Chapter | 3rd |
Chapter Name | Playing With Numbers |
Category | Class 6th Mathematics |
Medium | English |
Source | Last Doubt |
NCERT Solutions Class 6th Maths Chapter – 3 Playing With Numbers Exercise – 3.2 Exercise – 3.2 are helpful for the exam preparation as it covers all types of questions present across the seven exercises of this chapter. The subject experts have created these NCERT Solutions at Last Doubt to provide the best possible methods to solve the problems.
NCERT Solutions Class 6th Math Chapter – 3 Playing With Numbers
Chapter – 3
Playing With Numbers
Exercise – 3.2
Question 1. What is the sum of any two- (a) Odd numbers? Solution – (a) The sum of any two odd numbers is even. (b) The sum of any two even numbers is even. |
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 factors. (g) Sum of two prime numbers is always even. (h) 2 is only the even prime number. (i) All even numbers are composite numbers. (j) The product of any two even numbers is always even. Solution – (а) False [∵ 3 + 5 + 7 = 15 (odd)] (b) True [∵ 3 + 5 + 6 = 14 (even)] (c) True [∵ 5 x 7 x 9 = 315 (odd)] (d) False [∵ 6 + 2 = 3 (odd)] (e) False [∵ 2 is a prime number but it is even] (f) False [∵ 3 is a prime number having 1 and 3 as its factors] (g) False [∵ 7 + 2 = 9 (odd)] (h) True [∵ 2 is even and the lowest prime number] (i) False [∵ 2 is even but not composite number] (j) True [∵ 4 x 6 = 24 (even)]V |
Question 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. Solution – The required pair of prime numbers having same digits are- |
Question 4. Write down separately the prime and composite numbers less than 20. Solution – Prime numbers less than 20 are – 2, 3, 5, 7, 11, 13, 17 and 19 Composite numbers less than 20 are – 4, 6, 8, 9, 10, 12, 14, 15, 16 and 18 |
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 Solution- (a) 44 = 3 + 41 |
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 – Required pairs are- (3 and 5), (5 and 7) and (11 and 13) |
Question 8. Which of the following numbers are prime? (a) 23 Solution – (a) 23 is a prime number [∵ 23 = 1 x 23] |
Question 9. Write seven consecutive composite numbers less than 100 so that there is no prime number between them. Solution – Required seven consecutive composite numbers are- |
Question 10. Express each of the following numbers as the sum of three odd primes. (a) 21 Solution – (a) 21 can be expressed as 3 + 5 + 13 (b) 31 can be expressed as 5 + 7 + 19 (c) 53 can be expressed as 13 + 17 + 23 (d) 61 can be expressed as 11 + 13 + 37 |
Question 11. Write five pairs of prime numbers less than 20 whose sum is divisible by 5. (Hint: 3 + 7 = 10) Solution – Required pairs of prime numbers less than 20 are- |
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 is neither ………… nor …………. (d) The smallest prime number is …………. (e) The smallest composite number is …………. (f) The smallest even number is …………. Solution – (a) prime number |
NCERT Solution Class 6th Maths All Chapters With Answer
- Chapter – 1 Knowing Our Numbers
- Chapter – 2 Whole Numbers
- Chapter – 4 Basic Geometrical Ideas
- Chapter – 5 Understanding Elementary Shape
- Chapter – 6 Integers
- Chapter – 7 Fractions
- Chapter – 8 Decimals
- Chapter – 9 Data Handling
- Chapter – 10 Mensuration
- Chapter – 11 Algebra
- Chapter – 12 Ratio and Proportion
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