Set Theory Reasoning Problems

Set Theory Reasoning Problems

Set Theory Reasoning Problems

1. If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is (A - B) ∪ (B - A)?
{1, 2, 5, 6}
{3, 4}
{1, 2, 3, 4, 5, 6}
{}
2. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is |(A ∪ B) - (A ∩ B)|?
4
5
6
7
3. 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
4. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is |P(A ∩ B)|?
2
4
8
16
5. In a class of 60 students, 40 play cricket, 30 play football, and 20 play both. How many students play neither cricket nor football?
5
10
15
20
6. In a survey of 200 students, 120 study math, 100 study physics, and 50 study both. How many students study neither math nor physics?
20
30
40
50
7. 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}
{}
8. If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and A = {2, 4, 6, 8, 10}, what is A ∩ A'?
{1, 3, 5, 7, 9}
{2, 4, 6, 8, 10}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
{}
9. In a survey of 200 students, 150 study math, 100 study physics, and 75 study both. How many students study either math or physics?
175
180
185
190
10. In a survey of 200 people, 120 like pizza, 80 like burgers, and 40 like both. How many people like either pizza or burgers?
120
160
180
200
Questions Answered: 0/10