Share

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

## Chapter 5: Playing with Numbers

Ex. 5.10Ex. 5.20Ex. 5.30

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

Ex. 5.10 | Q 1 | 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

Ex. 5.10 | Q 2 | Page 5

Without performing actual computations, find the quotient when 94 − 49 is divided by
(i) 9
(ii) 5

Ex. 5.10 | Q 3 | Page 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.

Ex. 5.10 | Q 4 | Page 5

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]

Ex. 5.20 | Q 1 | 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?

Ex. 5.20 | Q 2 | Page 20

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

Ex. 5.20 | Q 3 | Page 20

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

Ex. 5.20 | Q 4 | Page 20

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

Ex. 5.20 | Q 5 | Page 20

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

Ex. 5.20 | Q 6 | Page 20

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.

Ex. 5.20 | Q 7 | Page 20

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.

Ex. 5.20 | Q 8 | Page 20

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

Ex. 5.20 | Q 9 | Page 20

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

Ex. 5.20 | Q 10 | Page 20

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

Ex. 5.20 | Q 11 | Page 20

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

Ex. 5.20 | Q 12.1 | Page 20

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

Ex. 5.20 | Q 12.2 | Page 20

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

Ex. 5.20 | Q 12.3 | Page 20

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

Ex. 5.20 | Q 12.4 | Page 20

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

Ex. 5.20 | Q 13.01 | Page 20

Which of the following statement is true?
If a number is divisible by 3, it must be divisible by 9.

• True

• False

Ex. 5.20 | Q 13.02 | Page 20

Which of the following statement is true?
If a number is divisible by 9, it must be divisible by 3.

• True

• False

Ex. 5.20 | Q 13.03 | Page 20

Which of the following statement is true?
If a number is divisible by 4, it must be divisible by 8.

• True

• False

Ex. 5.20 | Q 13.04 | Page 20

Which of the following statement is true?
If a number is divisible by 8, it must be divisible by 4.

• True

• False

Ex. 5.20 | Q 13.05 | Page 20

Which of the following statement is true?
A number is divisible by 18, if it is divisible by both 3 and 6.

• True

• False

Ex. 5.20 | Q 13.06 | Page 20

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

Ex. 5.20 | Q 13.07 | Page 20

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

Ex. 5.20 | Q 13.08 | Page 20

Which of the following statement is true?
If a number divides three numbers exactly, it must divide their sum exactly.

• True

• False

Ex. 5.20 | Q 13.09 | Page 20

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

Ex. 5.20 | Q 13.1 | Page 20

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]

Ex. 5.30 | Q 1 | Page 30

Solve each of the following Cryptarithms:

  3 7+ A B  9 A
Ex. 5.30 | Q 2 | Page 30

Solve each of the following Cryptarithm:

 A B+3 7 9 A
Ex. 5.30 | Q 3 | Page 30

Solve each of the following Cryptarithm:

  A 1+ 1 B  B 0
Ex. 5.30 | Q 4 | Page 30

Solve each of the following Cryptarithm:

  2 A B+ A B 1  B 1 8
Ex. 5.30 | Q 5 | Page 30

Solve each of the following Cryptarithm:

  1 2 A+ 6 A B  A 0 9
Ex. 5.30 | Q 6 | Page 30

Solve each of the following Cryptarithm:

  A B 7+ 7 A B  9 8 A
Ex. 5.30 | Q 7 | Page 30

Show that the Cryptarithm

$4 \times \overline{{AB}} = \overline{{CAB}}$ does not have any solution.

## Chapter 5: Playing with Numbers

Ex. 5.10Ex. 5.20Ex. 5.30

## 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.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. RD Sharma 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 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.

Get the free view of chapter 5 Playing with Numbers Class 8 extra questions for Maths and can use Shaalaa.com to keep it handy for your exam preparation

S