Set Theory Reasoning Problems
Questions Answered: 0/10
1.
In a group of 100 people, 60 speak English, 50 speak Spanish, and 30 speak both. How many people speak neither English nor Spanish?
10
20
30
40
2.
In a class of 50 students, 30 passed math, 25 passed science, and 10 passed both. How many students passed at least one subject?
35
40
45
50
3.
In a group of 100 people, 70 like dogs, 60 like cats, and 40 like both. How many people like dogs but not cats?
20
25
30
35
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 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
6.
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}
{}
7.
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}?
{4, 5}
{1, 2, 3, 6, 7, 8}
{9, 10}
{1, 2, 3, 4, 5, 6, 7, 8}
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.
In a group of 200 people, 150 speak English, 100 speak Spanish, and 25 speak neither. How many people speak both English and Spanish?
50
75
100
125
Questions Answered: 0/10
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