Quiz: QZ-20260718-77209

Quiz Details

QZ-20260718-77209

Topics:

Set

Difficulty: Level 3 - Medium

Questions: 10

Language: English (English)

Generated: July 18, 2026 at 02:52 AM

Generated by: Akkharawit Weratanthana

Instructions: Select an answer for each question and click "Check Answer" to see if you're correct. Then view the explanation to learn more!

1 Which of the following is an example of a set?

A) The collection of all even numbers

B) The number 5

C) The operation of addition

D) The word 'apple'

Correct Answer: A
Explanation: A set is defined as a collection of distinct objects, and the collection of all even numbers is a valid example of a set.

2 What is the union of the sets {1, 2, 3} and {3, 4, 5}?

A) {1, 2}

B) {3}

C) {1, 2, 3, 4, 5}

D) {4, 5}

Correct Answer: C
Explanation: The union of two sets includes all elements from both sets, without duplicates. Therefore, the union of {1, 2, 3} and {3, 4, 5} is {1, 2, 3, 4, 5}.

3 Which of the following represents the empty set?

A) {0}

B) []

C) {null}

D) {}

Correct Answer: D
Explanation: The empty set, which contains no elements, is represented by {}.

4 If A = {x | x is an even number} and B = {2, 4, 6}, what can be said about A and B?

A) A and B are equal

B) B is a subset of A

C) A is a subset of B

D) A and B have no elements in common

Correct Answer: B
Explanation: Since all elements in set B (2, 4, 6) are even numbers, B is indeed a subset of A.

5 What is the intersection of the sets {a, b, c} and {b, c, d}?

A) {c, d}

B) {a, b}

C) {}

D) {b, c}

Correct Answer: D
Explanation: The intersection of two sets includes only the elements that are present in both sets. In this case, the elements b and c are in both sets.

6 In set theory, what does the term 'complement' refer to?

A) The total number of elements in a set

B) The intersection of two sets

C) The union of two sets

D) Elements not in the set

Correct Answer: D
Explanation: The complement of a set consists of all elements in the universal set that are not in the specified set.

7 If Set X = {1, 2, 3} and Set Y = {3, 4, 5}, what is Set X ∪ Set Y?

A) {3}

B) {1, 2, 3, 4, 5}

C) {2, 3, 4}

D) {1, 3, 5}

Correct Answer: B
Explanation: The union of Set X and Set Y combines all unique elements from both sets, resulting in {1, 2, 3, 4, 5}.

8 Which of the following is true about disjoint sets?

A) They share at least one common element

B) They have no elements in common

C) They are subsets of each other

D) They are identical

Correct Answer: B
Explanation: Disjoint sets are defined as sets that have no elements in common.

9 What is the cardinality of the set {x | x is a prime number less than 10}?

A) 5

B) 6

C) 4

D) 3

Correct Answer: A
Explanation: The prime numbers less than 10 are 2, 3, 5, and 7, totaling 4 elements, so the cardinality is 4.

10 Which operation would you use to find elements common to two sets?

A) Union

B) Intersection

C) Difference

D) Complement

Correct Answer: B
Explanation: The intersection operation is used to find the common elements between two sets.

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