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Venn diagram and Operations on sets

Total questions: 25

Worksheet time: 33mins

Name
Class
Date
1.

What do you call the illustration used to represent the  relationships between sets?

a)

Circle Graph

b)

Venn Diagram

c)

Pie Chart

d)

Circle Diagram

2.

What operation is being shown by the shaded region?

a)

A − BA\ -\ B  

b)

B′B'   

c)

A∪BA\cup B  

d)

A∩BA\cap B  

3.

What operation is being shown by the shaded region?

a)

A−BA-B  

b)

A′A'  

c)

A∪BA\cup B  

d)

A∩BA\cap B  

4.

What is U = ?

a)

{6, 14, 20}

b)

{2, 4, 8, 10, 12, 16, 18}

c)

{2, 4, 6, 8, 10, 12, 14, 16, 20}

d)

{2, 4, 6, 8, 10, 12, 14, 16, 18, 20}

5.

What is B - A = ?

a)

{2, 4, 12}

b)

{8, 10, 16}

c)

{6, 14, 20}

d)

{18}

6.

What is B' = ?

a)

{2, 4, 12, 18}

b)

{8, 10, 16, 18}

c)

{6, 14, 18, 20}

d)

{18}

7.

What is (A U B)' = ?

a)

{2, 4, 12, 18}

b)

{8, 10, 16, 18}

c)

{6, 14, 18, 20}

d)

{18}

8.

Mark and Marife interviewed students about their preferred sports. See the results of the survey.

How many prefer volleyball or basketball?

a)

17

b)

66

c)

94

d)

100

9.

Mark and Marife interviewed students about their preferred sports. See the results of the survey.

How many prefer volleyball and basketball?

a)

17

b)

66

c)

94

d)

100

10.

Seleisha conducted a survey regarding the number of student enrollees in foreign languages. She asked students whether they enrolled in Chinese, Korean or Japanese. See the result of the survey.

How many studied Chinese and Korean but not Japanese?

a)

4

b)

6

c)

7

d)

8

11.

Which of the following operations on sets describes the given Venn Diagram?

a)

A ∪ BA\ \cup\ B

b)

A ∩ BA\ \cap\ B

c)

A − BA\ -\ B

d)

A′A'

12.

Which of the following operations on sets describe the given Venn diagram?

a)

A ∩ BA\ \cap\ B

b)

A − BA\ -\ B

c)

A′ ∪ B′A'\ \cup\ B'

d)

A ∪ BA\ \cup\ B

13.

Given the sets
A = {a, b, c, d, e} and B = {a, c, d, f}

What is A ∩ BA\ \cap\ B  ?

a)

{a, c, d}

b)

{a, b, c,d e, f}

c)

{b, e}

d)

{f}

14.

Given the sets
A = {2, 3, 4, 5} and B = {2, 4, 5, 6}

What is A∪BA\cup B  ?

a)

{2, 4, 5}

b)

{2, 3, 4, 5, 6}

c)

{3}

d)

{6}

15.

Given the sets
U = {a, b, c, d, e, f, g, h, i, j}
A = {a, c, e, g, i} and B = {b, c, d, e, f}

What is  B′B'  ?

a)

{a, b, c, d, e, f, g, i}

b)

{b, d, f, h}

c)

{a, g, h, i, j}

d)

{c, e}

16.

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}

17.

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}

18.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

19.

It is an operation on sets that contains elements that are common to both sets.

a)

Complement of a Set

b)

Difference of Two Sets

c)

Intersection of Sets

d)

Union Sets

20.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
21.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

22.

What  is  the  meaning  of  B ∩ C ?What\ \ is\ \ the\ \ meaning\ \ of\ \ B\ \cap\ C\ ?  

a)

Set B union with set C

b)

Set B intersection with set C

c)

The difference of set B to set C

23.

What is the cardinal of the set, H = {w, o, n, d, e, r, f, u, l}

a)

10

b)

9

c)

8

d)

7

24.

Which of the following operations on sets describes the given Venn Diagram?

a)

A ∪ BA\ \cup\ B

b)

A ∩ BA\ \cap\ B

c)

A − BA\ -\ B

d)

A′A'

25.

The Venn diagram for  A∪BA\cup B  is represented in green as

a)
b)
c)
d)