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