Sets & Problems Involving Sets

Multiple Choice

Which of the following is a well-defined set?

• A set of beautiful sceneries

• A set of good basketball players

• A set of Philippine Presidents

• A set of successful leaders

Multiple Choice

List all the letters in the word “school”.

• {s, c, h, o, o, l}

• {s, c, h, o, l}

• {s, h, o, o, l}

• {s, c, o, l}

Multiple Choice

Which of the following is the symbol of an empty set?

• ∩

• U

• ⊆

• ∅

Multiple Choice

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

Find A U B

• {1, 2, 3, 4, 5, 6}

• {2, 4, 5, 6}

• {2, 4, 6}

• {1, 3, 5}

Multiple Choice

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

Find A ∩ B

• {1, 2, 3, 4, 5, 6}

• {2, 4, 5, 6}

• {2, 4, 6}

• {1, 3, 5}

Multiple Choice

A survey was conducted among 50 people on the ice cream flavor they liked. It was found out that 28 liked chocolate, 15 liked mango, and 20 liked strawberr. Furthermore, 8 liked chocolate and strawberry, and 7 liked chocolate and mango, and 4 liked all the 3 flavors.

How many people liked Chocolate only?

• 28

• 17

• 8

• 7

Multiple Choice

A survey was conducted among 50 people on the ice cream flavor they liked. It was found out that 28 liked chocolate, 15 liked mango, and 20 liked strawberr. Furthermore, 8 liked chocolate and strawberry, and 7 liked chocolate and mango, and 4 liked all the 3 flavors.

How many people liked mango only?

• 15

• 14

• 7

• 1

Multiple Choice

A survey was conducted among 50 people on the ice cream flavor they liked. It was found out that 28 liked chocolate, 15 liked mango, and 20 liked strawberr. Furthermore, 8 liked chocolate and strawberry, and 7 liked chocolate and mango, and 4 liked all the 3 flavors.

How many people liked strawberry only?

• 20

• 8

• 5

• 4

Multiple Choice

A survey was conducted among 50 people on the ice cream flavor they liked. It was found out that 28 liked chocolate, 15 liked mango, and 20 liked strawberr. Furthermore, 8 liked chocolate and strawberry, and 7 liked chocolate and mango, and 4 liked all the 3 flavors.

How many people liked all the three flavors?

• 3

• 4

• 7

• 9

Multiple Choice

A survey was conducted among 50 people on the ice cream flavor they liked. It was found out that 28 liked chocolate, 15 liked mango, and 20 liked strawberr. Furthermore, 8 liked chocolate and strawberry, and 7 liked chocolate and mango, and 4 liked all the 3 flavors.

How many people did not like the three flavors at all?

• 3

• 4

• 7

• 9

Multiple Choice

In the collections of objects below, which does not belong to the group?

Multiple Choice

The set of young politicians

• Well-defined

• Not

Multiple Choice

The set of types of matter

• Well-defined

• Not

Multiple Choice

The set of versatile actresses.

• Well-defined

• Not

Multiple Choice

The set of all oceans of the earth.

• Well-defined

• Not

Multiple Choice

The set of months containing 31 days.

• Well-defined

• Not

Multiple Choice

The objects contained in the set.

• capital letters

• set

• ellipsis

• { }

• Elements

Multiple Choice

A well-defined group or collection of objects that share common characteristics.

• capital letters

• set

• ellipsis

• { }

• Elements

Multiple Choice

It is represented by three dots which is use to indicate that a set has many / infinite elements.

• capital letters

• set

• ellipsis

• { }

• Elements

Multiple Choice

A symbol use to group the elements of a set.

• capital letters

• set

• ellipsis

• { }

• Elements

Multiple Choice

A symbol used in represent a set.

• capital letters

• set

• ellipsis

• { }

• Elements

Multiple Choice

Which of the following is the set of animals living in water?

• A = {dolphin, whale, milk fish}

• B = {lion, buffalo, deer}

• C = {duck, chicken, turkey}

• D = {eagle, parrot, dove}

Multiple Choice

Given: A = {b, i, o, d, e, g, r, a, d, a, b, l, e}, which of the following is INCORRECT?

• It uses capital letter to name set.

• It does not list the object once.

• It uses braces.

• It uses commas.

Multiple Choice

The set of provinces in Region 12.

• E = {Aklan, Antique, Capiz, Guimaras, Ilo-ilo, Negros Occidental}

• . F = {South Cotabato, North Cotabato, Sultan Kudarat, Sarangani, General Santos}

• G = {Ilocos Norte, Ilocos Sur, La Union, Pangasinan}

• H = {Cavite, Laguna, Batangas, Rizal, Quezon}

Multiple Choice

The set of months containing 30 days

• I = {January, March, May}

• J = {February, April, June}

• K = {June, July, August}

• June, September, November}

Multiple Choice

The set of secondary colors.

• M = {red, green, yellow}

• N = {brown, pink, blue}

• O = {green, orange, violet}

• P = {white, black, grey}

Multiple Choice

The set of all even numbers from 2 to 10

• well-defined

• NOT

Multiple Choice

The set of all factors of 18.

• well-defined

• NOT

Multiple Choice

The set of responsible citizens.

• well-defined

• NOT

Multiple Choice

The set of letters in the word “FATHER”.

• well-defined

• NOT

Multiple Choice

The set of hardworking front liners.

• well-defined

• NOT

Multiple Choice

Given: A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Find: The set of odd numbers.

• {0,1,2,3,4,5}

• {1,3,5,7,9}

• {2,4,6,8,10}

• {6,7,8,9,10}

Multiple Choice

Given: A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Find: The set of all factors of 10

• {1,10,2,5}

• {1,10,2,3}

• {1,10,2,0}

• {1.10.2.1}

Multiple Choice

Given: A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Find: The set of multiples of 4.

• {2,4}

• {4,6}

• {4,8}

• {4,10}

Multiple Choice

Given: A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Find: The set of negative integers.

• {2,4}

• {4,6}

• {4,8}

• {∅}

Multiple Choice

A set with no element is an empty set or

• universal set

• null set

• subset

• { } or ∅

• cardinality of set

Multiple Choice

The number of elements in the set refers to

• universal set

• null set

• subset

• { } or ∅

• cardinality of set

Multiple Choice

The U is the set that contains all objects under consideration.

• universal set

• null set

• subset

• { } or ∅

• cardinality of set

Multiple Choice

If every element in A is also an element in B, then A is a _________________ of B.

• universal set

• null set

• subset

• { } or ∅

• cardinality of set

Multiple Choice

The symbol for empty set or null set is ___________________.

• universal set

• null set

• subset

• { } or ∅

• cardinality of set

Multiple Choice

S = {0, 1, 2, 3, 4, …, 10}

O = {d, a, y}

L = {3, 6, 9, 12}

V = {5, 10, 15, 20, 25}

I = {r, o, s, e}

N = {roots, stem, leaves, flowers, fruits}

G = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}

The cardinality of Set G is 8.

• TRUE

• FALSE

Multiple Choice

S = {0, 1, 2, 3, 4, …, 10}

O = {d, a, y}

L = {3, 6, 9, 12}

V = {5, 10, 15, 20, 25}

I = {r, o, s, e}

N = {roots, stem, leaves, flowers, fruits}

G = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}

{5, 15, 25} is a subset of Set V

• TRUE

• FALSE

Multiple Choice

S = {0, 1, 2, 3, 4, …, 10}

O = {d, a, y}

L = {3, 6, 9, 12}

V = {5, 10, 15, 20, 25}

I = {r, o, s, e}

N = {roots, stem, leaves, flowers, fruits}

G = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}

{8} is a subset of Set L.

• TRUE

• FALSE

Multiple Choice

S = {0, 1, 2, 3, 4, …, 10}

O = {d, a, y}

L = {3, 6, 9, 12}

V = {5, 10, 15, 20, 25}

I = {r, o, s, e}

N = {roots, stem, leaves, flowers, fruits}

G = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}

The cardinality of Set O is 7is a subset of Set L.

• TRUE

• FALSE

Multiple Choice

S = {0, 1, 2, 3, 4, …, 10}

O = {d, a, y}

L = {3, 6, 9, 12}

V = {5, 10, 15, 20, 25}

I = {r, o, s, e}

N = {roots, stem, leaves, flowers, fruits}

G = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}

The number of elements in Set N is 5.

• TRUE

• FALSE

Multiple Choice

Given: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The universal set is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

• TRUE

• FALSE

Multiple Choice

Given: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

{2, 4, 6, 8, 10} is a subset of U.

• TRUE

• FALSE

Multiple Choice

Given: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

{0, 10} is a subset of U.

• TRUE

• FALSE

Multiple Choice

Given: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Empty set { } is a subset of U.

• TRUE

• FALSE

Multiple Choice

Given: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The cardinality number of set U is 10

• TRUE

• FALSE

Multiple Select

What animals can live on land?

• dog

• frog

• cow

• cat

• fish

Multiple Select

What animals can live in water?

• dog

• frog

• cow

• cat

• fish

Multiple Select

What animals can live both in land and water?

• dog

• frog

• cow

• cat

• fish

Multiple Choice

Which of the following is a well-defined set?

• A set of good writers

• A set of factors of 3

• A set of honest students in grade seven

• A set small numbers

Multiple Choice

Which of the following is the symbol of a null set?

• Ս

• ∩

• ⊆

• ∅

Multiple Choice

Michelle listed the set of all letters in the word “serendipity” as shown below. What is wrong with this set? A = {s, e, r, e, n, d, i, p, i, t, y}

• It uses commas.

• It uses braces.

• The objects in this set are not listed once.

• A capital letter is used to represent this set.

Multiple Choice

Given the set of letters in the word “LOVE”. What is the cardinality of the givenset?

• 11

• 8

• 6

• 4

Multiple Choice

What is the cardinality of {10, 20, 30, …, 80}?

• 8

• 10

• 12

• 14

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