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) n ^{2}B) 2n C) 2 ^{n}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 |

Created with That Quiz —
where a math practice test is always one click away.