Set Theory Reasoning Problems
Questions Answered: 0/10
1.
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
2.
If A = {x | x is a prime number less than 10} and B = {x | x is an odd number less than 10}, what is A ∩ B?
{2, 3, 5, 7}
{3, 5, 7}
{1, 3, 5, 7, 9}
{2, 3, 5}
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, 6, 7, 8, 9, 10}
{4, 5}
{1, 2, 3, 4, 5}
{4, 5, 6, 7, 8}
4.
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
5.
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
6.
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, 6, 7, 8}
{4, 5, 9, 10}
{1, 2, 3, 4, 5, 6, 7, 8}
{9, 10}
7.
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}?
{4, 5, 9, 10}
{1, 2, 3, 6, 7, 8}
{1, 2, 3, 4, 5, 6, 7, 8}
{9, 10}
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}?
{9, 10}
{1, 2, 3, 6, 7, 8}
{4, 5}
∅ (empty set)
9.
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
10.
If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is |A ∪ B| + |A ∩ B|?
8
9
10
11
Questions Answered: 0/10
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