Quiz: QZ-20260718-18746

Quiz Details

QZ-20260718-18746

Topics:

Set

Difficulty: Level 3 - Medium

Questions: 10

Language: English (English)

Generated: July 18, 2026 at 02:53 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 What is the union of the sets {1, 2, 3} and {2, 3, 4}?

A) {1, 2, 3}

B) {1, 2, 3, 4}

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

D) {2, 3, 4}

Correct Answer: B
Explanation: The union of two sets combines all unique elements from both sets. Therefore, {1, 2, 3} ∪ {2, 3, 4} = {1, 2, 3, 4}.

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

A) {}

B) {a, b, c, d}

C) {b, c}

D) {a, d}

Correct Answer: C
Explanation: The intersection of two sets includes only the elements that are present in both sets. Thus, {a, b, c} ∩ {b, c, d} = {b, c}.

3 If A = {x | x is an even number} and B = {x | x is a multiple of 4}, which of the following is true?

A) B is a subset of A

B) A is a subset of B

C) A and B are disjoint

D) A and B are equal

Correct Answer: A
Explanation: Every multiple of 4 is also an even number, which means B is a subset of A. However, not all even numbers are multiples of 4.

4 Which of the following is the power set of {1, 2}?

A) {{}, {1, 2}, {1}, {2}}

B) {{1, 2}, {1}, {2}, {}}

C) {{1}, {2}}

D) {{1, 2}, {} }

Correct Answer: B
Explanation: The power set is the set of all subsets of a set, including the empty set and the set itself. For {1, 2}, the power set is {{}, {1}, {2}, {1, 2}}.

5 Which operation results in the complement of a set A?

A) Union with the universal set

B) Intersection with the universal set

C) Difference from the universal set

D) Symmetric difference with the universal set

Correct Answer: C
Explanation: The complement of a set A consists of all elements in the universal set that are not in A. This is represented as the universal set minus A.

6 Which of the following statements is true regarding sets?

A) The order of elements in a set matters.

B) Sets cannot contain other sets.

C) Sets can be empty.

D) Sets can contain duplicate elements.

Correct Answer: C
Explanation: A set can be empty, known as the empty set, which is represented by {}. All other statements about sets are false.

7 If set X = {2, 4, 6} and set Y = {1, 2, 3, 4, 5}, what is X ∩ Y?

A) {2, 4, 6}

B) {6}

C) {1, 3, 5}

D) {2, 4}

Correct Answer: D
Explanation: The intersection of sets X and Y includes only the elements that are found in both sets. Therefore, X ∩ Y = {2, 4}.

8 What is the difference of sets A and B, denoted as A - B?

A) Elements in both A and B

B) Elements in B but not in A

C) All elements in A and B

D) Elements in A but not in B

Correct Answer: D
Explanation: The difference of sets A and B (A - B) includes only those elements that are in A but not in B.

9 If set A = {x | x is a prime number less than 10}, what does A contain?

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

B) {2, 3, 5, 6, 7, 8, 9}

C) {2, 3, 5, 7}

D) {2, 4, 6, 8, 9}

Correct Answer: C
Explanation: The prime numbers less than 10 are 2, 3, 5, and 7, making the set A = {2, 3, 5, 7}.

10 Which of the following best describes a disjoint set?

A) Sets that are identical

B) Sets that have the same number of elements

C) Sets that share no elements

D) Sets that have at least one element in common

Correct Answer: C
Explanation: Disjoint sets are defined as sets that do not share any elements. Therefore, they are completely separate from one another.

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