Are You A Sets Expert? Take The Sets Quiz Now
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The Sets Quiz is designed to help students master the fundamental concepts of sets in mathematics. With questions covering unions, intersections, subsets, and complements, this quiz provides a comprehensive approach to learning. It encourages logical thinking and enhances problem-solving skills, making it ideal for learners of all levels.
The set theory quiz is carefully crafted to challenge your understanding while reinforcing critical concepts. Take this opportunity to test your skills, identify gaps in your understanding, and build confidence in solving set-related problems. This quiz is a perfect companion for anyone aiming to excel in mathematics or develop a deeper appreciation Read morefor its logical beauty.
Set Theory Questions and Answers
- 1.
If A = {1, 5, 3, 7, 9} and B = {2, 3, 4, 5, 6}, what is A ∩ B?
- A.
{ 1,5,3,7,9}
- B.
{2,3,4,5,6}
- C.
{ 3, 5}
- D.
None of these
Correct Answer
C. { 3, 5}Explanation
The intersection of two sets, denoted by ∩, includes only the elements that are common to both sets. Here, set A contains {1, 5, 3, 7, 9}, and set B contains {2, 3, 4, 5, 6}. The elements 3 and 5 are present in both sets. Therefore, the correct intersection is {3, 5}.Rate this question:
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- 2.
If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6}, what does A ∪ B represent?
- A.
{3,4,6}
- B.
{2,4,6}
- C.
{1,10,90}
- D.
{1,2,3,4,5,6}
Correct Answer
D. {1,2,3,4,5,6} -
- 3.
P u B = { 2,2, 4, 6, 8, 18,15,3, 47}
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The given statement is false because the set P u B contains multiple occurrences of the number 2, which violates the definition of a set. In a set, each element should be unique and not repeated. Therefore, the correct answer is false.Rate this question:
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- 4.
The Venn Diagram shows a Disjoint set
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The Venn Diagram shows a disjoint set because there are two separate circles that do not overlap or share any elements. In a disjoint set, the elements in one set are completely separate from the elements in the other set.Rate this question:
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- 5.
Every set must have numbers.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
This statement is incorrect. Every set does not have to have numbers. A set can contain any type of elements, including numbers, letters, or even objects. Therefore, the correct answer is False.Rate this question:
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- 6.
A disjoint set is
- A.
Two sets that have no members in common
- B.
The set of all the members in both sets without creating any of the members in the sets
- C.
The set of all members that are common to both sets
- D.
The set of all the members that are partially common
Correct Answer
A. Two sets that have no members in commonExplanation
A disjoint set refers to two sets that have no members in common. This means that there is no element that is present in both sets. In other words, the intersection of the two sets is an empty set.Rate this question:
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- 7.
The ____ of sets is the set of all the members of both sets without repeating any of the members in the sets.
- A.
Union
- B.
Pair
- C.
Numbers
- D.
None of these
Correct Answer
A. UnionExplanation
The union of sets is the set that contains all the elements from both sets without any repetition. It combines the elements of both sets into a single set, ensuring that no duplicate elements are included.Rate this question:
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- 8.
The symbol U is used to indicate the intersection of sets.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
The symbol "∪" represents the union of sets, which combines all elements from both sets. The correct symbol for the intersection of sets is "∩", which includes only the elements common to both sets. Thus, the given statement is false.Rate this question:
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- 9.
The intersection of two sets is the set of all members that are common to both sets.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The statement is true because the intersection of two sets is defined as the set that contains all the elements that are present in both sets. In other words, it is the set of common elements between the two sets. If there are no common elements, then the intersection would be an empty set.Rate this question:
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- 10.
A = {1,2,3} and B = {4,5,6} then A n B = ______?
- A.
{}
- B.
Prime numbers
- C.
Universal set
- D.
None of these
Correct Answer
A. {}Explanation
The symbol "n" represents the intersection of two sets, which means finding the common elements between them. In this case, set A and set B have no common elements, as they are completely distinct sets. Therefore, the intersection of A and B is an empty set, represented by {}. The answer "None of these" is incorrect because the correct answer is an empty set, not one of the other options provided.Rate this question:
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.webp "P u B = { 2,2, 4, 6, 8, 18,15,3, 47}")
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
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Current Version
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Dec 08, 2024Quiz Edited by
ProProfs Editorial Team
Expert Reviewed by
Janaisa Harris -
Jul 20, 2011Quiz Created by
Debyon
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