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Worksheets

Number system

Total questions: 65

Worksheet time: 36mins

Name
Class
Date
1.
Whole numbers are natural numbers together with "zero."
a)
True
b)
False
2.

Which of the following are Natural numbers?

a)

4,3

b)

3

c)

-20

d)

71

3.

Natural numbers are also called counting numbers

a)

true

b)

false

4.

The smallest counting number is ...................

a)

zero

b)

one

c)

nine

d)

four

5.

set A : {1,3,5,7,9,11 ...} belongs to the number ...

a)

irrational number

b)

whole number

c)

negative's integers number

d)

natural number

6.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
7.
-3 +(- 2)
a)
-1
b)
5
c)
-5
d)
-6
8.
Which property is this example?
10+4 = 4+10
a)
Commutative property of addition
b)
Associative Property of addition
c)
Distributive property of multiplication
d)
Identity property of addition
9.
Which property is this example?
12 x 1 = 12
a)
Commutative property of multiplication
b)
Associative Property of multiplication
c)
Distributive property of multiplication
d)
Identity property of multiplication
10.
Which property is this example?
(1+2)+3=1+(2+3)
a)
Commutative property of addition
b)
Associative Property of addition
c)
Distributive property of multiplication
d)
Identity property of addition
11.
What property is used here?
3(x+2)=3x+6
a)
Commutative
b)
Symmetric
c)
Distributive
d)
Associative
12.

Closure property of integers states that if a and b are integers then a + b =c, c is also an integer?

a)

True

b)

False

13.
Identify the property
a(b + c) = ab + ac
a)
Associative of addtion
b)
Distributive
c)
Commutative of addition
d)
Inverse
14.

Integers are closed under which operations. Select all that apply.

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

15.
Name the property showed by the following statement.
3(2a - 3) = 6a - 9
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Multiplication Property of One (Identity)
16.

Sum of five consecutive even numbers is 110. Find the numbers

a)

16,18,20,22,24

b)

18,20,22,24,26

c)

20,22,24,26,28

d)

14,16,18,20,22

17.

Find the value of X and Y from the given equations 2x+4y=12, 2x−2y=6

a)

x = 4, y = 3

b)

x = 6, y = 2

c)

x = 4, y = 1

d)

x = 2, y = 6

18.

What is the unit digit in 

(6324)^ 1797 × (615)^ 316 × (341) ^476 ?

a)

1

b)

2

c)

3

d)

0

19.

What least number should be added to 1056, so that the sum is completely divisible by 23?

a)

1

b)

2

c)

3

d)

4

20.

 

What is the unit digit in the product (3^65 x 6^59 x 7^71)?

a)

1

b)

2

c)

4

d)

6

21.

A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by

a)

11

b)

9

c)

12

d)

8

22.

A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5 ?

a)

1

b)

2

c)

3

d)

4

23.

Which of the following number is divisible by 24 ?

a)

A. 31214

b)

B. 61212

c)

C. 512216

d)

D. 3125832

24.

A number when divided by 259 leaves a remainder 139. What will be the remainder  when the same number is divided by 37

a)

28

b)

29

c)

30

d)

31

25.

22, 46, 94, 190, 382,….?

a)

764

b)

776

c)

766

d)

770

26.

Z, V, R, N, J,….?

a)

C

b)

E

c)

G

d)

F

27.

135 ÷ 54 of 1/6 + 2/5 * 17/4 = ?

a)

a

b)

b

c)

c

d)

d

28.
a)

a

b)

b

c)

c

d)

d

29.

Eight bells rings at a time interval of 2mins, 3mins, 4mins, 5mins, 6mins, 8mins, 10mins and 12mins resp. They started ringing simultaneously at 8:20 am, then at what time they again ring simultaneously?

a)

08:20 pm

b)

09:20 pm

c)

09:20 am

d)

10:20 am

30.
a)

0

b)

3

c)

9

d)

1

31.

The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?

a)

12/35

b)

1/35

c)

35/8

d)

7/32

32.

 

If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:

a)

0

b)

2

c)

3

d)

1

33.

If Y ^ (4b-8 ) = 1, where Y is a positive real number other than 1, then find b.

a)

1

b)

3

c)

2

d)

4

34.

Rama has some 2 rupee coins and 10 rupee coins. If the total number of coins is 60 and the total amount is Rs.400, then find the number of coins in each category.

a)

55, 12

b)

25, 35

c)

8, 55

d)

55, 8

35.

 To find HCF of 3³×5 and 3² × 5²

a)

40

b)

42

c)

45

d)

44

36.

What type of number is 0?

a)

Integer

b)

Irrational

c)

Imaginary

d)

Natural

37.

What type of number is -2

a)

Integer

b)

Whole

c)

Irrational

d)

Imaginary

38.

Which number is an irrational number?

a)

0.333333333...

b)

1.0101010101010101011010101010

c)

√225

d)

2/3

39.

What number is irrational?

a)

3.38383838383838838383838...

b)

0.444444444444444444...

c)

0

d)

2

40.

What is the definition of natural numbers?

a)

Counting numbers starting from 1

b)

Counting numbers starting from 0

c)

Negative numbers

d)

π

41.

Which option is a repeating decimal?

a)

0.505050505050050505

b)

0.33333333333333333

42.

Which fraction is a repeating decimal?

a)

15/22

b)

1/2

c)

10/15

d)

64/72

43.

Which number is irrational?

a)

√256

b)

√361

c)

√121

d)

√133

44.

What is "i"?

a)

A weird number

b)

An odd number

c)

An imaginary number

d)

An amazing number

45.

What type of number is -3?

a)

Irrational

b)

Whole

c)

Imaginary

d)

Integer

46.

22/7 is irrational

a)

True

b)

False

47.

What is the definition of an irrational number?

a)

A number that can be written as a fraction.

b)

All counting numbers, including 0.

c)

A number that can't be written as a fraction.

d)

All whole numbers and their opposites.

48.
What is the radix value of the Hexadecimal number system?
a)

2

b)

8

c)

10

d)

16

49.
Identify the number which has an invalid representation from the following.
a)
Option 1
b)
Option 2
c)
Option 3
d)
Option 4
50.
Which of the following number system has a radix value of 8?
a)
Binary Number System
b)
Octal Number System
c)
Decimal Number System
d)
Hexadecimal Number System
51.
The binary equivalent of the decimal number 125 is __________.
a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

52.
What is the decimal equivalent of the hexadecimal number "F"?
a)
5
b)
10
c)
15
d)
16
53.

The decimal equivalent value of the given binary number is _______.

a)

55

b)

77

c)

100

d)

95

54.
A nibble is a group of ____ bits.
a)
1
b)
2
c)
3
d)
4
55.
The hexadecimal equivalent value of the binary number given below is ______.
a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

56.
The decimal equivalent value of the binary number given below is ______.
a)

13.3

b)

15.3

c)

13.75

d)

15.75

57.
The number of bits required to represent the binary equivalent value of the decimal number 128 is ____________.
a)

4

b)

8

c)

16

d)

32

58.
The Hexadecimal equivalent of the decimal number 100 is _______.
a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

59.
The Hexadecimal number equivalent value of the binary number given below is _________.
a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

60.
The binary equivalent value of the Hexadecimal number given below is ______.
a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

61.
Which of the following number system that a machine can understand?
a)
Binary Number System
b)
Octal Number System
c)
Decimal Number System
d)
Hexadecimal Number System
62.
The decimal number 77 is converted to another number system with base r as given below. Find the radix value "r" which satisfy the following condition.
a)

2

b)

8

c)

15

d)

16

63.
The group of an 8-bit binary number is called a ________.
a)
Nibble
b)
Byte
c)
Digit
d)
Radix
64.
The decimal equivalent value of the Octal number given below is _______.
a)

64

b)

128

c)

256

d)

512

65.
The Hexadecimal equivalent value of the octal number given below is _______.
a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4