#### Chapters

Chapter 2: Powers

Chapter 3: Squares and Square Roots

Chapter 4: Cubes and Cube Roots

Chapter 5: Playing with Numbers

Chapter 6: Algebraic Expressions and Identities

Chapter 7: Factorization

Chapter 8: Division of Algebraic Expressions

Chapter 9: Linear Equation in One Variable

Chapter 10: Direct and Inverse Variations

Chapter 11: Time and Work

Chapter 12: Percentage

Chapter 13: Proft, Loss, Discount and Value Added Tax (VAT)

Chapter 14: Compound Interest

Chapter 15: Understanding Shapes-I (Polygons)

Chapter 16: Understanding Shapes-II (Quadrilaterals)

Chapter 17: Understanding Shapes-III (Special Types of Quadrilaterals)

Chapter 18: Practical Geometry (Constructions)

Chapter 19: Visualising Shapes

Chapter 20: Mensuration - I (Area of a Trapezium and a Polygon)

Chapter 21: Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube)

Chapter 22: Mensuration - III (Surface Area and Volume of a Right Circular Cylinder)

Chapter 23: Data Handling-I (Classification and Tabulation of Data)

Chapter 24: Data Handling-II (Graphical Representation of Data as Histograms)

Chapter 25: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)

Chapter 26: Data Handling-IV (Probability)

Chapter 27: Introduction to Graphs

#### RD Sharma Mathematics Class 8 by R D Sharma (2019-2020 Session)

## Chapter 5: Playing with Numbers

#### Chapter 5: Playing with Numbers Exercise 5.10 solutions [Page 5]

Without performing actual addition and division write the quotient when the sum of 69 and 96 is divided by

(i) 11

(ii) 15

Without performing actual computations, find the quotient when 94 − 49 is divided by

(i) 9

(ii) 5

If sum of the number 985 and two other numbers obtained by arranging the digits of 985 in cyclic order is divided by 111, 22 and 37 respectively. Find the quotient in each case.

Find the quotient when the difference of 985 and 958 is divided by 9.

#### Chapter 5: Playing with Numbers Exercise 5.20 solutions [Page 20]

Given that the number \[\overline{{35\alpha64}}\] is divisible by 3, where α is a digit, what are the possible values of α?

If x is a digit such that the number \[\overline{{18x71}}\] is divisible by 3, find possible values of x.

If x is a digit of the number \[\overline {{66784x}}\] such that it is divisible by 9, find possible values of x.

Given that the number \[\overline{{67y19}}\] is divisible by 9, where y is a digit, what are the possible values of y?

If \[\overline{{3x2}}\] is a multiple of 11, where x is a digit, what is the value of x?

If \[\overline{{98215x2}}\] is a number with x as its tens digit such that is is divisible by 4. Find all possible values of x.

If x denotes the digit at hundreds place of the number \[\overline{{67x19}}\] such that the number is divisible by 11. Find all possible values of x.

Find the remainder when 51439786 is divided by 3. Do this without performing actual division.

Find the remainder when 51439786 is divided by 3. Do this without performing actual division.

Find the remainder, without performing actual division, when 798 is divided by 11.

Without performing actual division, find the remainder when 928174653 is divided by 11.

Given an example of a number which is divisible by 2 but not by 4.

Given an example of a number which is divisible by 3 but not by 6.

Given an example of a number which is divisible by 4 but not by 8.

Given an example of a number which is divisible by both 4 and 8 but not by 32.

Which of the following statement is true?

If a number is divisible by 3, it must be divisible by 9.

True

False

Which of the following statement is true?

If a number is divisible by 9, it must be divisible by 3.

True

False

Which of the following statement is true?

If a number is divisible by 4, it must be divisible by 8.

True

False

Which of the following statement is true?

If a number is divisible by 8, it must be divisible by 4.

True

False

Which of the following statement is true?

A number is divisible by 18, if it is divisible by both 3 and 6.

True

False

Which of the following statement is true?

If a number is divisible by both 9 and 10, it must be divisible by 90.

True

False

Which of the following statement is true?

If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.

True

False

Which of the following statement is true?

If a number divides three numbers exactly, it must divide their sum exactly.

True

False

Which of the following statement is true?

If two numbers are co-prime, at least one of them must be a prime number.

True

False

Which of the following statement is true?

The sum of two consecutive odd numbers is always divisible by 4.

True

False

#### Chapter 5: Playing with Numbers Exercise 5.30 solutions [Page 30]

Solve each of the following Cryptarithms:

3 7

+ A B

9 A

Solve each of the following Cryptarithm:

A B

+3 7

9 A

Solve each of the following Cryptarithm:

A 1

+ 1 B

B 0

Solve each of the following Cryptarithm:

2 A B

+ A B 1

B 1 8

Solve each of the following Cryptarithm:

1 2 A

+ 6 A B

A 0 9

Solve each of the following Cryptarithm:

A B 7

+ 7 A B

9 8 A

Show that the Cryptarithm

## Chapter 5: Playing with Numbers

#### RD Sharma Mathematics Class 8 by R D Sharma (2019-2020 Session)

#### Textbook solutions for Class 8

## RD Sharma solutions for Class 8 Mathematics chapter 5 - Playing with Numbers

RD Sharma solutions for Class 8 Maths chapter 5 (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 for Class 8 by R D Sharma (2019-2020 Session) solutions in a manner that help students grasp basic concepts better and faster.

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

Using RD Sharma 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 RD Sharma Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 8 prefer RD Sharma Textbook Solutions to score more in exam.

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