Set Theory Reasoning Problems
Questions Answered: 0/10
1.
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}
∅ (empty set)
{4, 5}
2.
If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is |A - B| + |B - A|?
3
5
6
8
3.
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}
{}
4.
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}
{}
5.
In a class of 50 students, 30 play football, 25 play basketball, and 10 play both. How many students play neither football nor basketball?
5
10
15
20
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} and B = {3, 4, 5}, what is the cardinality of A × B?
3
6
9
12
8.
If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is |P(A ∩ B)|?
2
4
8
16
9.
In a survey of 300 people, 180 like coffee, 150 like tea, and 60 like both. How many people like either coffee or tea but not both?
180
210
240
270
10.
If A = {x | x is a prime number less than 10} and B = {x | x is an even number less than 10}, what is A ∪ B?
{2, 3, 5, 7}
{2, 4, 6, 8}
{2, 3, 4, 5, 6, 7, 8}
{1, 2, 3, 4, 5, 6, 7, 8, 9}
Questions Answered: 0/10
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