Set Theory Reasoning Problems
Questions Answered: 0/10
1.
If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is (A' ∩ B')' in the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}?
{1, 2, 3, 4, 5, 6, 7, 8}
{9, 10}
{4, 5}
{1, 2, 3, 6, 7, 8}
2.
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∪ B?
{1, 2, 3, 4}
{3, 4, 5, 6}
{1, 2, 3, 4, 5, 6}
{3, 4}
3.
In a group of 100 people, 70 like chocolate, 60 like vanilla, and 40 like both. How many people like neither chocolate nor vanilla?
0
10
20
30
4.
If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is (A ∩ B)' in the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}?
{1, 2, 3, 6, 7, 8, 9, 10}
{4, 5}
{1, 2, 3, 4, 5}
{4, 5, 6, 7, 8}
5.
In a class of 50 students, 30 play football, 25 play basketball, and 10 play both. How many students play neither football nor basketball?
5
10
15
20
6.
In a survey of 200 people, 120 like pizza, 100 like pasta, and 60 like both. How many people like either pizza or pasta?
140
150
160
170
7.
If A = {1, 2, 3} and B = {3, 4, 5}, what is the cardinality of A × B?
3
6
9
12
8.
In a survey of 200 people, 120 like pizza, 80 like burgers, and 40 like both. How many people like either pizza or burgers but not both?
80
120
160
200
9.
If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is (A ∪ B) ∆ (A ∩ B)?
{1, 2, 3, 6, 7, 8}
{4, 5}
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 2, 3, 4, 5}
10.
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and A = {2, 4, 6, 8}, what is (A')' ?
{1, 3, 5, 7, 9, 10}
{2, 4, 6, 8}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{}
Questions Answered: 0/10
Copyright © 2025