A) A tuple of objects
B) A collection of distinct objects
C) An ordered list of objects
D) A single object
- 2. Which symbol is used to represent 'is a member of' in set theory?
A) ∉
B) ∈
C) ⊆
D) ∩
- 3. A set that contains no elements is called?
A) Power set
B) Empty set
C) Singleton set
D) Universal set
- 4. The number of elements in a set is called its?
A) Cardinality
B) Subset
C) Union
D) Intersection
- 5. A set that contains all the elements under consideration is called?
A) Singleton set
B) Universal set
C) Finite set
D) Empty set
- 6. Which operation produces a set containing elements that are in either of the sets being combined?
A) Union
B) Cartesian product
C) Intersection
D) Complement
- 7. The complement of a set A with respect to the universal set is denoted by?
A) A - A
B) A'
C) A ∪ A
D) A ∩ A
- 8. The set that contains all subsets of a given set is called a?
A) Power set
B) Finite set
C) Infinite set
D) Complement set
- 9. A set containing only one element is called?
A) Empty set
B) Singleton set
C) Universal set
D) Infinite set
- 10. Which symbol is used to denote the subset relationship in set theory?
A) ⊆
B) ∪
C) ∩
D) ∉
- 11. The set of all positive integers less than 10 is an example of a?
A) Singleton set
B) Empty set
C) Universal set
D) Finite set
- 12. In set theory, what does the difference of sets A and B represent?
A) Union of sets A and B
B) Elements that are in set A but not in set B
C) Symmetric difference of sets A and B
D) Intersection of sets A and B
- 13. Two sets are equal if?
A) One set is a subset of the other
B) They have the same elements
C) They are both empty sets
D) They have different elements
- 14. In set theory, what is the cardinality of the power set of a set with n elements?
A) n!
B) 2n
C) 2n
D) n2
- 15. What is the set containing all the elements that belong to set A or set B, or both?
A) The power set of set A
B) The intersection of sets A and B
C) The complement of set A with respect to set B
D) The union of sets A and B
- 16. If set A has 3 elements and set B has 5 elements, how many elements are in the union of A and B?
A) 3
B) 5
C) 8
D) 15
- 17. What is the set of all elements that belong to either set but not both called?
A) Symmetric difference
B) Intersection
C) Complement
D) Union
- 18. The set of all elements that are common to two or more sets is called the __________.
A) Intersection
B) Union
C) Symmetric difference
D) Complement
- 19. If the cardinality of set A is 10 and the cardinality of set B is 15, what is the possible range for the cardinality of the union of A and B?
A) 26 to 30
B) 1 to 5
C) 10 to 15
D) 11 to 25
- 20. If set A has 2 elements and set B has 3 elements, how many elements will the Cartesian product of A and B have?
A) 10
B) 2
C) 6
D) 5
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