Set Theory Reasoning Problems

Set Theory Reasoning Problems

Set Theory Reasoning Problems

1. In a class of 40 students, 25 play tennis, 20 play badminton, and 10 play both. How many students play neither tennis nor badminton?
5
10
15
20
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 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} and B = {3, 4, 5, 6}, what is (A ∪ B) - (A ∩ B)?
{1, 2, 5, 6}
{1, 2, 3, 4, 5, 6}
{3, 4}
{1, 2, 3, 4}
5. 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
6. In a survey of 300 people, 180 like chocolate, 160 like vanilla, and 20 like neither. How many people like both chocolate and vanilla?
40
60
80
100
7. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is (A - B) ∪ (B - A)?
{1, 2, 3, 6, 7, 8}
{4, 5}
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 2, 3, 4, 5}
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. In a class of 50 students, 20 study history, 25 study geography, and 10 study both. How many students study either history or geography?
30
35
40
45
10. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is A - B?
{1, 2, 3}
{4, 5}
{6, 7, 8}
{1, 2, 3, 4, 5}
Questions Answered: 0/10