Set theory
  • 1. What is a set?
A) A single object
B) A tuple of objects
C) An ordered list of objects
D) A collection of distinct objects
  • 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) Universal set
B) Empty set
C) Power set
D) Singleton set
  • 4. The number of elements in a set is called its?
A) Union
B) Subset
C) Cardinality
D) Intersection
  • 5. A set that contains all the elements under consideration is called?
A) Finite set
B) Universal set
C) Singleton set
D) Empty set
  • 6. Which operation produces a set containing elements that are in either of the sets being combined?
A) Complement
B) Intersection
C) Cartesian product
D) Union
  • 7. The complement of a set A with respect to the universal set is denoted by?
A) A ∪ A
B) A - A
C) A'
D) A ∩ A
  • 8. The set that contains all subsets of a given set is called a?
A) Complement set
B) Power set
C) Infinite set
D) Finite set
  • 9. A set containing only one element is called?
A) Singleton set
B) Infinite set
C) Universal set
D) Empty 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) Empty set
B) Universal set
C) Singleton set
D) Finite set
  • 12. In set theory, what does the difference of sets A and B represent?
A) Intersection of sets A and B
B) Union of sets A and B
C) Symmetric difference of sets A and B
D) Elements that are in set A but not in set B
  • 13. Two sets are equal if?
A) They have different elements
B) One set is a subset of the other
C) They have the same elements
D) They are both empty sets
  • 14. In set theory, what is the cardinality of the power set of a set with n elements?
A) n2
B) 2n
C) 2n
D) n!
  • 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 union of sets A and B
D) The complement of set A with respect to set 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) 5
B) 8
C) 3
D) 15
  • 17. What is the set of all elements that belong to either set but not both called?
A) Intersection
B) Union
C) Symmetric difference
D) Complement
  • 18. The set of all elements that are common to two or more sets is called the __________.
A) Union
B) Complement
C) Intersection
D) Symmetric difference
  • 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) 10 to 15
B) 11 to 25
C) 26 to 30
D) 1 to 5
  • 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) 2
B) 10
C) 5
D) 6
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