Advertisements
Chapters
2: Data Handling
3: Square-Square Root and Cube-Cube Root
4: Linear Equation In One Variable
5: Understanding Quadrilaterals and Practical Geometry
6: Visualising Solid Shapes
7: Algebraic Expression, Identities and Factorisation
8: Exponents and Powers
9: Comparing Quantities
10: Direct and Inverse Proportions
11: Mensuration
12: Introduct To Graphs
▶ 13: Playing With Numbers
![NCERT Exemplar solutions for Mathematics [English] Class 8 chapter 13 - Playing With Numbers - Shaalaa.com](/images/mathematics-english-class-8_6:5f2b1b2038084cf381bfa42c826a928c.jpg "NCERT Exemplar solutions for Mathematics [English] Class 8 chapter 13 - Playing With Numbers")
Advertisements
Solutions for Chapter 13: Playing With Numbers
Below listed, you can find solutions for Chapter 13 of CBSE NCERT Exemplar for Mathematics [English] Class 8.
NCERT Exemplar solutions for Mathematics [English] Class 8 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 + 100c + 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 blanks:
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 letters in the following question.
A A
+A A
XA Z
Find the value of the letters in the following question.
8 5
+ 4 A
B C 3
Find the value of the letters in the following question.
B 6
+ 8 A
C A 2
Find the value of the letters in the following question.
1 B A
+ A B A
8 B 2
Find the value of the letters in the following question.
C B A
+ C B A
1 A 3 0
Find the value of the letters in the following question.
B A A
+ B A A
3 A 8
Find the value of the letters in the following question.
A 0 1 B
+ 1 0 A B
B 1 0 8
Find the value of the letters in the following question.
A B
× 6
C 6 8
Find the value of the letters in the following question.
A B
× A B
6 A B
Find the value of the letters in the following question.
A A
× A
C A B
Find the value of the letters in the following question.
A B
– B 7
4 5
Find the value of the letters in the following question.
8 A B C
– A B C 5
D 4 8 8
If 2A7 ÷ A = 33, then find the value of A.
212 × 5 is a multiple of 3 and 11. Find the value of x.
Find the value of k where 31k2 is divisible by 6.
1y3y6 is divisible by 11. Find the value of y.
756x 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 question.
What will be 12345679 × 45?
Work out the following multiplication.
12345679
× 9
Use the result to answer the following question.
What will be 12345679 × 63?
Work out the following multiplication.
12345679
× 9
Use the result to answer the following question.
By what number should 12345679 be multiplied to get 888888888?
Work out the following multiplication.
12345679
× 9
Use the result to answer the following question.
By what number should 12345679 be multiplied to get 999999999?
Find the value of the letters in the following:
P Q
× 6
Q Q Q
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.
Solutions for 13: Playing With Numbers
NCERT Exemplar solutions for Mathematics [English] Class 8 chapter 13 - Playing With Numbers
Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 8 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT Exemplar solutions for Mathematics Mathematics [English] Class 8 CBSE 13 (Playing With Numbers) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT Exemplar textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics [English] 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 Exemplar Mathematics [English] Class 8 solutions Playing With Numbers exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Exemplar Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 8 students prefer NCERT Exemplar Textbook Solutions to score more in exams.
Get the free view of Chapter 13, Playing With Numbers Mathematics [English] Class 8 additional questions for Mathematics Mathematics [English] Class 8 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.
