Free Printable Test Yourself # 3: Set Operations

1.

What type of set is denoted as either { } or ∅?

a)

Universal Set

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Complement of a Set

2.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

3.

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

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

4.

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

What is $A\ \cap\ B$ ?

a)

{a, c, d}

b)

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

c)

{b, e}

d)

{f}

5.

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

a)

$A'-B'$

b)

$\left(A\cup B\right)'$

c)

$A'\cup B'$

d)

\left(A\cap B\right)'

6.

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

a)

$\left(A\ \cap\ B\right)'$

b)

$\left(A-B\right)'$

c)

$\left(A\cup\ B\right)'$

d)

$A'\ \cup\ B$

7.

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

a)

$A\ \cup\ B$

b)

$A\ \cap\ B$

c)

$A\ -\ B$

d)

$A'$

8.

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

a)

$A\ \cap\ B$

b)

$A\ -\ B$

c)

$A'\ \cup\ B'$

d)

$A\ \cup\ B$

9.

A = { 1,2,3,4,5,6}

B= { 2,3,8,10,12}

find A - B

a)

{2,3}

b)

{1,4,5,6,}

c)

{1,3,4}

d)

{2,4,6}

10.

If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?

a)

{1, 2, 3, 4, 5, 6, 7, 9}

b)

{1, 2, 3, 5}

c)

{4, 6, 7, 9}

d)

{ }

11.

If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, what is (A ⋃ B) ⋂ C?

a)

{3, 4, 5, 6, 7, 9}

b)

{3, 4, 5, 6, 7, 8, 9}

c)

{3, 5, 6, 7, 9}

d)

{ }

12.

If P = {0, 1, 2, 3, 4}, Q = {4, 6, 8} and R = {6, 12, 18}, then what is (P ∩ Q) ∪ R?

a)

{4}

b)

{4, 6}

c)

{4, 6, 8}

d)

{4, 6, 12, 18}

13.

$U'=\phi$

a)

True

b)

False

14.

$A-B=B-A$

a)

True

b)

False

15.

$A-\phi=A$

a)

True

b)

False

16.

$A=\left\{1,\ 3,\ 5,\ 7,\ 9\right\}$
$B=\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6\right\}$

$\left(A\cup B\right)-\left(A\cap B\right)=?$

a)

$\left\{1,\ 2,\ 4,\ 6,\ 7,\ 9\right\}$

b)

$\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 9\right\}$

c)

$\left\{3,\ 5\right\}$

17.

$U=\left\{1,\ 2,\ 3,\ ...\ ,\ 10\right\}$
$A=\left\{1,\ 2,\ 3,\ 4\right\}$
$B=\left\{3,\ 4,\ 5,\ 6,\ 7\right\}$
$C=\left\{2,\ 3,\ 4,\ 8,\ 9\right\}$

$\left(B\cap C\right)-A'=?$

a)

$\left\{3,\ 4\right\}$

b)

$\left\{2,\ 3,\ 4\right\}$

c)

$\phi$

18.

$U=\left\{1,\ 2,\ 3,\ ...\ ,\ 10\right\}$
$A=\left\{1,\ 2,\ 3,\ 4\right\}$
$B=\left\{3,\ 4,\ 5,\ 6,\ 7\right\}$
$C=\left\{2,\ 3,\ 8,\ 9\right\}$

$\left(A\cap C\right)-B=?$

a)

$\left\{2\right\}$

b)

$\left\{1,\ 4,\ 8,\ 9\right\}$

c)

$\left\{4,\ 5,\ 6,\ 7\right\}$

19.

$U=\left\{1,\ 2,\ 3,\ ...,\ 10\right\}$
$A=\left\{5,\ 6,\ 7,\ 8\right\}$
$B=\left\{1,\ 2,\ 3,\ 4,\ 5\right\}$

$\left(A\cup B\right)'=?$

a)

$\left\{9,\ 10\right\}$

b)

$\left\{1,\ 2,\ 3,\ ...,\ 8\right\}$

c)

$\left\{\right\}$

20.

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

21.

Choose the set that describes the shaded region

a)

$A\cup C$

b)

$A\cap C$

c)

$\left(A\cap C\right)'$

d)

$\left(A\cap C\right)\cup B$

22.

Choose the set that describes the shaded region

a)

$A\cup C$

b)

$A\cap C$

c)

$\left(A\cap C\right)'$

d)

$\left(A\cap C\right)\cup B$

23.

Choose the set that describes the shaded region

a)

$A\cup C$

b)

$A\cap C$

c)

$\left(A\cap C\right)'$

d)

$\left(A\cap C\right)\cup B$

24.

If A = { a, e, i } and B = { a, e, i, o, u }, then A ∩ B = { a, e, i }.

a)

True

b)

False

25.

The complement of a set is the set of elements in A but not in B.

a)

True

b)

False

26.

$A=\left\{1,\ 2,\ 3,\ 4\right\}$
$B=\left\{3,\ 4,\ 5,\ 6,\ 7\right\}$
$C=\left\{2,\ 3,\ 4,\ 8,\ 9\right\}$

$A\cap B\cap C=?$

a)

$\left\{3,\ 4\right\}$

b)

$\left\{1,\ 2,\ 5,\ 6,\ 7,\ 8,\ 9\right\}$

c)

$\left\{\right\}$

27.

Which Venn diagram best illustrates $A^c\cup B$ ?

a)

b)

c)

d)

28.

U= {roses, red, sampaguita, white, tulips, yellow}

A= { red, yellow, white}

Find A'.

a)

{red, yellow, white}

b)

{ }

c)

{roses, sampaguita, tulips}

d)

{roses, red, sampaguita, white, tulips, yellow}

29.

U= {roses, red, sampaguita, white, tulips, yellow}

A= {red, white, yellow}

B= {roses, sampaguita, tulips}

Find A U B.

a)

{ }

b)

{red, white, yellow}

c)

{roses, sampaguita, tulips}

d)

{roses, red, sampaguita, white, tulips, yellow}

30.

U= Set of natural number before 10

A= Set of odd numbers

Find A'.

a)

{1,2,3}

b)

{4,5,6,7}

c)

{2,4,6,8}

d)

{2,4,6,8,10}

31.

How do you find the intersection of the two sets?

a)

List the common elements within the two sets

b)

List all the elements within the two sets

c)

List all the elements that is not in the two sets

d)

List all the elements in the Universal set

32.

Which of the following operations on sets describes the green area of the Venn Diagram?

a)

$A\ \cup\ B$

b)

$A\ \cap\ B$

c)

$B\cap A$

33.

if A={1,3,5} and B={2,4} then what are the relation between them

a)

Disjoint sets

b)

overlapping sets

c)

subsets

d)

joint sets

34.

Let P be the set of letters of the word “MATH”. Find the n(P).

a)

2

b)

3

c)

4

d)

5

35.

If A = {f, a, k, e, d} and B = {d, r, a, k, e}, what is A∩B?

a)

{a, k, e}

b)

{a, d, e, k}

c)

{k, e, d}

d)

∅

36.

If A = {1, 3, 5, 7}, B = {2, 3, 4, 5}, and C = {2, 4, 6, 8}, what is (A∪B) - C?

a)

{2, 3, 6, 8}

b)

{2, 3, 4, 5}

c)

{2, 4}

d)

{1, 3, 5, 7}

37.

Given P = {apple, orange, banana, mango} and
Q = {orange, mango, watermelon}, what is P

\cup

Q?

a)

P $\cup$ Q = {apple, orange, banana, mango}

b)

P $\cup$ Q = {apple, orange, banana}

c)

P $\cup$ Q =

d)

P $\cup$ Q = {apple, orange, banana, mango, watermelon}

38.

Based on the given sets below, which statement is CORRECT?

A = {1, 3, 6, 8, 9, 12, 15} and B = {6, 9, 12}?

a)

B A

b)

A B =

c)

A $\cup$ B = A

d)

B is the complement of A.

39.

13. If set A = {3, 4, 5, 6} and set B = {2, 4, 6, 8 }, what is A – B ?

a)

A – B =

b)

A – B = {3}

c)

A – B = {3, 5}

d)

A – B = {4, 6}

40.

14. If set A = {3, 4, 5, 6} and set B = {2, 4, 6, 8}, what is B – A?

a)

B – A =

b)

B – A = {2}

c)

B – A = {3, 5}

d)

B – A = {2, 8}

Test Yourself # 3: Set Operations

Total questions: 40

Worksheet time: 2hrs 0mins

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