Set Quiz Questions And Answers
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Welcome to our Sets Quiz! This quiz is designed to test your knowledge and understanding of sets, a fundamental concept in mathematics. Whether you're a student looking to review your understanding or a teacher seeking to assess your students' comprehension, this quiz is perfect for you.
In this Sets Quiz, you will encounter a variety of questions that cover different aspects of sets, including set notation, set operations, Venn diagrams, and more. You'll have the opportunity to demonstrate your ability to identify elements in sets, perform set operations such as union, intersection, and complement, and analyze relationships between sets. Read more
Each question is carefully crafted to challenge your understanding of sets and help you reinforce your knowledge of this important mathematical concept. With clear explanations provided for each answer, this quiz serves as an excellent learning tool to deepen your understanding of sets and improve your problem-solving skills.
Set Questions and Answers
- 1.
A = { 1,5,3,7,9} and B = {2,3,4,5,6} then A n 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 sets A and B is the set of elements that are common to both sets. In this case, the common elements between A and B are 3 and 5. Therefore, the correct answer is { 3, 5}.Rate this question:
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- 2.
A = {1,2,3,4,5,6} and B = {2,4,6} Which of the following represent A U B?
- 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}Explanation
The union of sets A and B, denoted as A U B, represents the combination of all elements from both sets. In this case, set A contains the numbers 1, 2, 3, 4, 5, and 6, while set B contains the numbers 2, 4, and 6. Therefore, the union of A and B would be the set that includes all the numbers from both sets, which is {1, 2, 3, 4, 5, 6}.Rate this question:
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- 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 U is not used to indicate the intersection of sets. The correct symbol for the intersection of sets is ∩. The symbol U is used to indicate the union of sets. Therefore, 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}")
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Mar 10, 2024Quiz Edited by
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Expert Reviewed by
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Jul 20, 2011Quiz Created by
Debyon