Set Theory Reasoning Problems
Questions Answered: 0/10
1.
If A = {1, 2, 3} and B = {3, 4, 5}, what is the cardinality of A × B?
3
6
9
12
2.
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}
{4, 5, 6, 7, 8}
3.
In a survey of 200 people, 120 watch movies, 100 watch TV shows, and 60 watch both. How many people watch either movies or TV shows?
140
150
160
170
4.
In a school of 1000 students, 600 study math, 500 study science, and 300 study both. How many students study neither math nor science?
100
200
300
400
5.
If A = {1, 2, 3} and B = {x | x is an even number less than 7}, what is P(A ∩ B)?
{{}, {2}}
{{}, {1}, {2}, {3}}
{{}, {2}, {4}, {6}}
{{}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3}}
6.
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
7.
If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is |P(A ∪ B) - P(A ∩ B)|?
240
248
252
256
8.
If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is (A' ∩ B) ∪ (A ∩ B') in the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}?
{1, 2, 3, 6, 7, 8}
{4, 5}
{1, 2, 3, 4, 5, 6, 7, 8}
{9, 10}
9.
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}?
5
6
7
8
10.
In a survey of 100 people, 60 like coffee, 40 like tea, and 10 like both. How many people like either coffee or tea?
80
90
100
70
Questions Answered: 0/10
Copyright © 2025