Set Theory Reasoning Problems

Set Theory Reasoning Problems

Set Theory Reasoning Problems

1. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is (A ∪ B)'?
{1, 2, 3}
{6, 7, 8}
{9, 10}
{}
2. 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}
3. If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is (A - B) ∪ (B - A)?
{1, 2, 5, 6}
{1, 2, 3, 4, 5, 6}
{3, 4}
{1, 2, 3, 4}
4. 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, 6, 7, 8}
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. 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, 6, 7, 8}
7. In a group of 100 people, 60 like apples, 50 like bananas, and 30 like both. How many people like either apples or bananas but not both?
40
50
60
70
8. In a group of 100 people, 70 speak English, 45 speak Spanish, and 20 speak both. How many people speak at least one of these languages?
75
85
95
100
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}
{1, 2, 3, 4, 5, 6, 7, 8}
{4, 5}
{1, 2, 3, 4, 5}
10. 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}?
{9, 10}
{1, 2, 3}
{4, 5}
{6, 7, 8}
Questions Answered: 0/10