Free Printable BSU - Set Theory

1.

The union of two or more sets is the set that contains __________ of both or all sets.

a)

Common elements

b)

Different elements

c)

All elements

2.

Empty set is also known as

a)

Null set

b)

Equivalent Set

c)

Single set

3.

The set of months of a year is an example of

a)

Proper set

b)

Infinite Set

c)

Finite set

4.

If A= { 1,2,3,5 } and B = { c,d,e,f } both the sets are called

a)

Singleton set

b)

Equal set

c)

Equivalent Set

5.

The symbol of intersection is

a)

$\cap$

b)

$\subset$

c)

$\cup$

6.

If A = { 3,4,5,6} and B={ 4,5,8}, then A $\cap$ B is

a)

{ 4 , 5 }

b)

{ $\phi$ }

c)

{ 3,4,5,6,8}

7.

Identify the empty set from the sets given below

a)

{ }

b)

The set of prime numbers divisible by 3

c)

{ 10 }

8.

Identify the equal set from the sets given below

a)

A={ 3,5,9,11 } , B= { b,c,d,f }

b)

A= { a,b,c,d} , B= { e,f,g,h}

c)

A = { 2,4,6,8} , B ={ 4,8,2,6}

9.

What is a set?

a)

A method of solving problems

b)

A collection of objects

c)

A 2-D shape

d)

{7}

10.

What is elements of a Set

a)

are the number of objects in a set

b)

are the objects in a set

c)

are the properties of a set

11.

What is the cardinal number of a set

a)

is the number of elements in a set

b)

is the size of a set

c)

is the objects in a set

12.

what is the empty set

a)

is the set that contain three elements

b)

is the set that contain no element

c)

is the set that contain unlimited elements

13.

what is the cardinal number of set B, B = ( 1, 2, 3, 4, 5, 6)

a)

3

b)

4

c)

6

14.

Which one is the Empty set

a)

A= ( 1, 2, 3, 4,5)

b)

B = ( x, y, z)

c)

C = { }

15.

What is the set of all the letters in word MATHEMATICS

a)

( M, A, T, H, E, M, A, T, I, C, S)

b)

( M, A, T, H, E, I, C, S)

c)

( MATHEMATICS)

16.

Which method is used to designate the set { x | x ∈ N and x > 4 } ?

a)

Roster Method

b)

Descriptive Method

c)

Set-builder Notation

17.

Empty set is a set with infinite elements.

a)

True

b)

False

18.

Which of the following sets is empty?

a)

{ x | x is a natural number divisible by 2 }

b)

{ x | x is a human being traveled to the sun }

c)

{ x | x is an even number between 3 and 5 }

19.

{ x | x is a natural number greater than 20 } is :

a)

Finite Set

b)

Infinite Set

20.

Is {0} equivalent to ϕ?

a)

Yes

b)

No

21.

How many senior boys play football and wrestle?

a)

9

b)

12

c)

18

d)

39

22.

If A = {1, 3, 5, 7, 9} and
B = {2, 3, 5, 7},
what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

23.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

24.

Determine the number of people who participated in weight-training (W) and cardio (C).

a)

15

b)

54

c)

69

d)

75

25.

Determine the number of people who did not do weight-training.

a)

15

b)

33

c)

39

d)

48

26.

If C={1, 3, 5, 6, 7} and D={0, 3, 5, 9}, then C ⋃ D is...

a)

{3, 5}

b)

{0, 1, 3, 5, 6, 7, 9}

c)

{0, 1, 3, 3, 5, 5, 6, 7, 9}

d)

{0, 1, 6, 7, 9}

27.

If R = {Sara, Dylan, Sasha, Martina} and S = {Chris, Dylan, Sean, Michael, Martina}, then R ⋂ S is...

a)

{Chris, Michael}

b)

{Dylan}

c)

{Sara, Dylan, Sasha, Martina, Chris, Sean, Michael}

d)

{Dylan, Martina}

28.

Each object in a set is called

a)

Element

b)

roster

c)

intersection

d)

union

29.

{1,3,5} ⊄ {1,2,3,4}

a)

True

b)

False

30.

A = ( u, v, z, i) and B = ( x, w, y, z), A-B=

a)

(x, w, y)

b)

(u, v, i)

c)

(x, w)

d)

(u, v, y)

31.

Find n(A) for the set:
A = {14, 16, 18, 20, 22, 24}

a)

6

b)

12

c)

4

d)

8

32.

Determine whether the set is finite or infinite:
{30, 32, 34, ..., 48, 50}

a)

Finite

b)

Infinite

33.

Determine whether the set is finite or infinite:
{10, 20, 30, ...}

a)

Finite

b)

Infinite

34.

Determine if the statement is true or false.
{10, 12, 14, 16} ⊆ {1,2,3,4,...99}

a)

True

b)

False

35.

One of the set representationew is ___________

a)

Detailed form

b)

Set builder form

c)

Transform

d)

None

36.

A set contains only one element is called _________

a)

Singleton set

b)

Null set

c)

Power set

d)

None

37.

The set of all subsets of a set is called ___________

a)

Subset

b)

Equal

c)

Disjoint

d)

Power set

38.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

C __ A

a)

⊂

b)

⊄

39.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

B __ A

a)

⊂

b)

⊄

40.

What does this symbol ( ⊆ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

41.

$M$ is the set of all prime numbers divisible by 3. Describe $M$ by listing its members!

a)

$M=\left\{3,6,9,12,\cdots\right\}$

b)

$M=\left\{2,3\right\}$

c)

$M=\left\{3\right\}$

d)

$M=\left\{3,5,7,9\right\}$

42.

P is the set of all letters in the word "AUSTRALIA" . Describe P by listing its members!

a)

$P=\left\{A,U,S,T,R,L,I,A\right\}$

b)

$P=\left\{A,U,\ S,\ T,\ R,\ I\right\}$

c)

$P=\left\{A,U,\ T,R,L,\ I\right\}$

d)

$P=\left\{U,S,R,T,A,I,L\right\}$

43.

The set of prime numbers between 10 and 30 is ...

a)

$\left\{11,13,15,17,19,21,23,25,27,29\right\}$

b)

$\left\{11,13,17,19,23,27,29\right\}$

c)

$\left\{11,13,17,19,23,29\right\}$

d)

$\left\{11,13,17,23,29\right\}$

44.

The set of prime number(s) which is(are) evenly divisible by 2...

a)

$\phi$

b)

$\left\{0\right\}$

c)

$\left\{2\right\}$

d)

$\left\{2,19\right\}$

45.

The set of letters in the English alphabet

a)

Null set

b)

Unit set

c)

Finite set

d)

Infinite set

46.

{1,2,3,4,5,6} which set is a subset of this?

a)

{1,3,5}

b)

{0,1,2}

c)

{4,6,8}

d)

{1.1,2,3}

47.

Which is an example of the empty set

a)

The set of days with 24 hours

b)

The set of months with less than 32 days

c)

The set of weeks with 8 days

d)

The set of years with less than 13 months

48.

Which statement is true?

a)

{1, 3, 4, 6} $\subset$ {3, 4, 6}

b)

{1, 3, 4, 6} $\subset$ {3, 4, 6, 8}

c)

{1, 3, 4, 6} $\subset$ {1, 3, 4, 5, 7, 9}

d)

{1, 3, 4, 6} $\subset$ {1, 2, 3, 4, 5, 6}

49.

Which set do I belong to?

(1, 2, 3, 4, 5...)

a)

Natural Numbers

b)

Rational Numbers

c)

Whole Numbers

d)

Integers

e)

Irrational Numbers

50.

In a class of 50 boys 35 boys play carrom and 20 boys play chess then the number of boys play both games is

a)

5

b)

30

c)

15

d)

10

BSU - Set Theory

Total questions: 50

Worksheet time: 27mins

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