#### Chapters

Chapter 2: Linear Equations in One Variable

Chapter 3: Understanding Quadrilaterals

Chapter 4: Practical Geometry

Chapter 5: Data Handling

Chapter 6: Squares and Square Roots

Chapter 7: Cubes and Cube Roots

Chapter 8: Comparing Quantities

Chapter 9: Algebraic Expressions and Identities

Chapter 10: Visualising Solid Shapes

Chapter 11: Mensuration

Chapter 12: Exponents and Powers

Chapter 13: Direct and Inverse Proportions

Chapter 14: Factorisation

Chapter 15: Introduction to Graphs

Chapter 16: Playing with Numbers

#### NCERT Mathematics Class 8

## Chapter 16: Playing with Numbers

#### Chapter 16: Playing with Numbers Exercise 16.10 solutions [Pages 255 - 256]

Find the values of the letters in each of the following and give reasons for the steps involved.

3 A

+ 2 5

-------

B 2

-------

Find the values of the letters in the following and give reasons for the steps involved.

4 A

+ 9 8

------

C B 3

------

Find the value of the letter in the following and give reasons for the steps involved.

1 A

x A

------

9 A

------

Find the values of the letters in the following and give reasons for the steps involved.

A B

+ 3 7

------

6 A

------

Find the values of the letters in the following and give reasons for the steps involved

A B

x 3

-------

C A B

-------

Find the values of the letters in the following and give reasons for the steps involved.

A B

x 5

-------

C A B

-------

Find the values of the letters in the following and give reasons for the steps involved.

A B

x 6

-------

B B B

-------

Find the values of the letters in the following and give reasons for the steps involved.

A 1

+ 1 B

-------

B 0

-------

Find the values of the letters in the following and give reasons for the steps involved.

2 A B

+ A B 1

---------

B 1 8

----------

Find the values of the letters in the following and give reasons for the steps involved.

1 2 A

+ 6 A B

---------

A 0 9

---------

#### Chapter 16: Playing with Numbers Exercise 16.20 solutions [Page 260]

If 21*y*5 is a multiple of 9, where *y* is a digit, what is the value of *y*?

If 31*z*5 is a multiple of 9, where *z* is a digit, what is the value of *z*? You will find that there are two answers for the last problem. Why is this so?

If 24*x* is a multiple of 3, where *x* is a digit, what is the value of *x*?

(Since 24*x* is a multiple of 3, its sum of digits 6 + *x* is a multiple of 3; so 6 + *x* is one of these numbers: 0, 3, 6, 9, 12, 15, 18…. But since *x* is a digit, it can only be that 6 + *x* = 6 or 9 or 12 or 15. Therefore, *x* = 0 or 3 or 6 or 9. Thus, *x* can have any of four different values)

If 31*z*5 is a multiple of 3, where *z* is a digit, what might be the values of *z*?

## Chapter 16: Playing with Numbers

#### NCERT Mathematics Class 8

#### Textbook solutions for Class 8

## NCERT solutions for Class 8 Mathematics chapter 16 - Playing with Numbers

NCERT solutions for Class 8 Maths chapter 16 (Playing with Numbers) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics Textbook for Class 8 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at shaalaa.com are providing such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 8 Mathematics chapter 16 Playing with Numbers are Tests of Divisibility - Divisibility by 9 and 3, Tests of Divisibility - Divisibility by 2, Tests of Divisibility - Divisibility by 10, Letters for Digits, Games with Numbers, Numbers in General Form, Tests of Divisibility - Divisibility by 5.

Using NCERT Class 8 solutions Playing with Numbers exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 8 prefer NCERT Textbook Solutions to score more in exam.

Get the free view of chapter 16 Playing with Numbers Class 8 extra questions for Maths and can use shaalaa.com to keep it handy for your exam preparation