#### Chapters

Chapter 2: Data Handling

Chapter 3: Square-Square Root and Cube-Cube Root

Chapter 4: Linear Equation In One Variable

Chapter 5: Understanding Quadrilaterals and Practical Geometry

Chapter 6: Visualising Solid Shapes

Chapter 7: Algebraic Expression, Identities and Factorisation

Chapter 8: Exponents and Powers

Chapter 9: Comparing Quantities

Chapter 10: Direct and Inverse Proportions

Chapter 11: Mensuration

Chapter 12: Introduct To Graphs

Chapter 13: Playing With Numbers

## Chapter 13: Playing With Numbers

### NCERT solutions for Mathematics Exemplar Class 8 Chapter 13 Playing With Numbers Exercise [Pages 408 - 413]

#### Choose the correct alternative:

Generalised form of a four-digit number abdc is ______.

1000a + 100b + 10c + d

1000a + 10c + 10b + d

1000a + 100b + 10d + c

a × b × c × d

Generalised form of a two-digit number xy is ______.

x + y

10x + y

10x – y

10y + x

The usual form of 1000a + 10b + c is ______.

abc

abc0

a0bc

ab0c

Let abc be a three-digit number. Then abc – cba is not divisible by ______.

9

11

18

33

The sum of all the numbers formed by the digits x, y and z of the number xyz is divisible by ______.

11

33

37

74

A four-digit number aabb is divisible by 55. Then possible value(s) of b is/are ______.

0 and 2

2 and 5

0 and 5

7

Let abc be a three digit number. Then abc + bca + cab is not divisible by ______.

a + b + c

3

37

9

A four-digit number 4ab5 is divisible by 55. Then the value of b – a is ______.

0

1

4

5

If abc is a three-digit number, then the number abc – a – b – c is divisible by ______.

9

90

10

11

A six-digit number is formed by repeating a three-digit number. For example 256256, 678678, etc. Any number of this form is divisible by ______.

7 only

11 only

13 only

1001

If the sum of digits of a number is divisible by three, then the number is always divisible by ______.

2

3

6

9

If x + y + z = 6 and z is an odd digit, then the three-digit number xyz is ______.

an odd multiple of 3

odd multiple of 6

even multiple of 3

even multiple of 9

If 5A + B3 = 65, then the value of A and B is ______.

A = 2, B = 3

A = 3, B = 2

A = 2, B = 1

A = 1, B = 2

If A3 + 8B = 150, then the value of A + B is ______.

13

12

17

15

If 5A × A = 399, then the value of A is ______.

3

6

7

9

If 6A × B = A 8 B, then the value of A – B is ______.

–2

2

–3

3

Which of the following numbers is divisible by 99?

913462

114345

135792

3572406

#### Fill in the blank:

3134673 is divisible by 3 and ______.

20 × 3 is a multiple of 3 if the digit × is ______ or ______ or ______.

3 × 5 is divisible by 9 if the digit x is ______.

The sum of a two-digit number and the number obtained by reversing the digits is always divisible by ______.

The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ______.

The difference of three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ______.

If then A = ______ and B = ______.

If then A = ______ and B = ______.

If then B = ______.

1 × 35 is divisible by 9 if x = ______.

A four-digit number abcd is divisible by 11, if d + b = ______ or _____.

A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places is either 0 or divisible by ______.

If a 3-digit number abc is divisible by 11, then ______ is either 0 or multiple of 11.

If A × 3 = 1A, then A = ______.

If B × B = AB, then either A = 2, B = 5 or A = ______, B = ______.

If the digit 1 is placed after a 2-digit number whose tens is t and ones digit is u, the new number is ______.

#### State whether the following statement is True or False:

A two-digit number ab is always divisible by 2 if b is an even number.

True

False

A three-digit number abc is divisible by 5 if c is an even number.

True

False

A four-digit number abcd is divisible by 4 if ab is divisible by 4.

True

False

A three-digit number abc is divisible by 6 if c is an even number and a + b + c is a multiple of 3.

True

False

Number of the form 3N + 2 will leave remainder 2 when divided by 3.

True

False

Number 7N + 1 will leave remainder 1 when divided by 7.

True

False

If a number a is divisible by b, then it must be divisible by each factor of b.

True

False

If AB × 4 = 192, then A + B = 7.

True

False

If AB + 7C = 102, where B ≠ 0, C ≠ 0, then A + B + C = 14

True

False

If 213 × 27 is divisible by 9, then the value of x is 0.

True

False

If N ÷ 5 leaves remainder 3 and N ÷ 2 leaves remainder 0, then N ÷ 10 leaves remainder 4.

True

False

#### Solve the following:

Find the least value that must be given to number a so that the number 91876a2 is divisible by 8.

If where Q – P = 3, then find the values of P and Q.

If 1AB + CCA = 697 and there is no carry–over in addition, find the value of A + B + C.

A five-digit number AABAA is divisible by 33. Write all the numbers of this form.

Find the value of the letter in the following questions.

A A

+A A

XA Z

Find the value of the letter in the following questions.

8 5

+ 4 A

B C 3

Find the value of the letter in the following questions.

B 6

+ 8 A

C A 2

Find the value of the letter in the following questions.

1 B A

+ A B A

8 B 2

Find the value of the letter in the following questions.

C B A

+ C B A

1A 3 0

Find the value of the letter in the following questions.

B A A

+ B A A

3 A 8

Find the value of the letter in the following questions.

A 0 1 B

+ 1 0 A B

B 1 0 8

Find the value of the letter in the following questions.

A B

× 6

C 6 8

Find the value of the letter in the following questions.

A B

× A B

6 A B

Find the value of the letter in the following questions.

A A

× A

C A B

Find the value of the letter in the following questions.

A B

– B 7

4 5

Find the value of the letter in the following questions.

8 A B C

– A B C 5

D 4 8 8

If 2A7 ÷ A = 33, then find the and B – A = 1

212 × 5 is a multiple of 3 and 11. Find the value of x.

Find the value of k where 31k 2 is divisible by 6.

1y3y6 is divisible by 11. Find the value of y.

756 x is a multiple of 11, find the value of x.

A three-digit number 2 a 3 is added to the number 326 to give a three-digit number 5b9 which is divisible by 9. Find the value of b – a.

Let E = 3, B = 7 and A = 4. Find the other digits in the sum

B A S E

+ B A L L

G A M E S

Let D = 3, L = 7 and A = 8. Find the other digits in the sum

M A D

+ A S

+ A

B U L L

If from a two-digit number, we subtract the number formed by reversing its digits then the result so obtained is a perfect cube. How many such numbers are possible? Write all of them.

Work out the following multiplication.

12345679

× 9

Use the result to answer the following questions.

What will be 12345679 × 45?

Work out the following multiplication.

12345679

× 9

Use the result to answer the following questions.

What will be 12345679 × 63?

Work out the following multiplication.

12345679

× 9

Use the result to answer the following questions.

By what number should 12345679 be multiplied to get 888888888?

Work out the following multiplication.

12345679

× 9

Use the result to answer the following questions.

By what number should 12345679 be multiplied to get 999999999?

Find the value of the letters in the following:

PQ

× 6

QQQ

Find the value of the letters in the following:

2 L M

+ L M 1

M 1 8

If 148101B095 is divisible by 33, find the value of B.

If 123123A4 is divisible by 11, find the value of A.

If 56 × 32y is divisible by 18, find the least value of y.

## Chapter 13: Playing With Numbers

## NCERT solutions for Mathematics Exemplar Class 8 chapter 13 - Playing With Numbers

NCERT solutions for Mathematics Exemplar Class 8 chapter 13 (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 Exemplar Class 8 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. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Mathematics Exemplar Class 8 chapter 13 Playing With Numbers are Numbers in General Form, Games with Numbers, Letters for Digits, Divisibility by 2, Divisibility by 3, Divisibility by 10, Divisibility by 9, 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.

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