Mathematics for IGCSE & O level - Sets (Section 2)
1
How is the set {1, 2, 3, 4} written in roster notation?
პასუხი
(B)
{1, 2, 3, 4}
2
Which of the following is an example of a finite set?
პასუხი
(C)
The set of all days in a week.
3
Which set operation is represented by the shaded region in a Venn diagram where two overlapping circles are shown, and only the area of one circle is shaded?
პასუხი
(D)
Set difference
4
If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, then what is A ∪ B (the union of A and B)?
პასუხი
(C)
{1, 2, 3, 4, 5, 6, 7, 8}
5
Which of the following are ways to define a set?
პასუხი
A
B
C
6
Which of the following best describes the meaning of n(A) in the context of sets?
პასუხი
(B)
The number of elements in set A
7
What does the set difference, A - B, represent?
პასუხი
(A)
All elements in A that are not in B.
8
Which of the following are true about sets?
პასუხი
(C)
A set can contain an infinite number of elements.
9
Which of the following sets is empty?
პასუხი
(C)
The set of all triangles with four sides.
10
If A = {1, 2, 3} and B = {3, 4, 5}, find (A ∪ B) ∩ {3, 4, 5, 6}.
პასუხი
(A)
{3, 4, 5}
11
What is the cardinal number of the empty set?
პასუხი
(A)
0
12
If A = {x | x is an even number} and B = {x | x is a multiple of 4}, then what is the relationship between A and B?
პასუხი
(B)
B ⊆ A
13
Which of the following are characteristics of a Venn diagram?
პასუხი
A
B
C
14
What is the value of n(A ∪ B) if n(A) = 10, n(B) = 8, and n(A ∩ B) = 3?
პასუხი
(B)
18
15
What does the symbol ⊈ mean in set notation?
პასუხი
(B)
Is not a subset of
16
If the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and set A = {2, 4, 6, 8, 10}, what is A' (the complement of A)?
პასუხი
(A)
{1, 3, 5, 7, 9}
17
What is the definition of a set?
პასუხი
(A)
A collection of shapes, letters, points or other objects.
18
If set A = {a, b, c} and set B = {d, e, f}, what is A ∩ B?
პასუხი
(B)
{ }
19
In a class of 30 students, 15 like apples, 10 like bananas, and 5 like both. How many students like either apples or bananas (or both)?
პასუხი
(B)
25
20
If set A has 5 elements, how many subsets does it have?
პასუხი
(D)
32
21
In a Venn diagram, what is the area outside of all circles representing sets, but inside the rectangle (representing the universal set) represent?
პასუხი
(B)
The complement of the union of the sets.
22
If there are 32 students in a class, and 18 study history and 20 study geography, and no student studies neither, how many students study BOTH history and geography?
პასუხი
(C)
6
23
What does it mean for a set 'A' to be a subset of set 'B'?
პასუხი
(A)
All elements of A are also elements of B
24
If A = {1, 2, 3} and B = {2, 3, 4, 5}, which number is NOT an element of A ∪ B?
პასუხი
(D)
6
25
If A and B are disjoint sets, what is A ∩ B?
პასუხი
(D)
The empty set
26
In a class of 40 students, 20 play football, 15 play basketball, and 10 play both. How many students play only one of these sports?
პასუხი
(B)
25
27
In the study of sets, which of the following statements are generally true?
პასუხი
(C)
Sets can be finite or infinite.
28
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 4, 5} and B = {5, 6, 7}. Find A' ∪ B
პასუხი
(B)
{5, 6, 7, 8, 9, 10}
29
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. What does A - B represents?
პასუხი
(A)
{1, 2}
30
What set is represented by the notation {x | x is a day of the week}?
პასუხი
(C)
The set of all days of the week.
31
Which statement is an example of De Morgan's Law?
პასუხი
(B)
(A ∪ B)' = A' ∩ B'
32
Which of the following is an example of a finite set?
პასუხი
(C)
The set of all days of the week
33
Which of the following notations represents the set difference of A and B?
პასუხი
(C)
A - B
34
The complement of a set A (denoted A') contains:
პასუხი
(B)
Elements not in A
35
The intersection of two sets A and B is the set of all elements that are ________.
პასუხი
(B)
In A and B
36
Which of the following is the correct way to represent 'x is not an element of set A'?
პასუხი
(B)
x ∉ A
37
The symbol ℰ represents the ________ set.
პასუხი
(B)
Universal
38
If A ⊆ B, and x ∈ A, then which of the following MUST be true?
პასუხი
(B)
x ∈ B
39
Given sets A, B, and C, which of the following is associative?
პასუხი
(B)
(A ∩ B) ∩ C = A ∩ (B ∩ C)
40
If U = {1, 2, 3, 4, 5, 6}, A = {1, 2, 3}, and B = {3, 4, 5}, what is (A ∪ B)'?
პასუხი
(A)
{6}
41
In a Venn diagram, other sets are shown as ________ or similar.
პასუხი
(C)
Circles
42
Which of the following operations is performed first in the order of operations related to sets?
პასუხი
(A)
Complement
43
What is the name given to sets that do not share any common elements?
პასუხი
(C)
Disjoint sets
44
Which Venn diagram shows two sets, P and Q, where there are no elements that are in both sets?
პასუხი
(B)
Two separate circles
45
If U = {1, 2, 3, 4, 5}, A = {1, 2}, and B = {2, 3, 4}, what is (A ∩ B)'?
პასუხი
(B)
{1, 3, 4, 5}
46
If A = {a, b, c} and B = {c, d, e}, what is (A ∪ B)' if the universal set is {a, b, c, d, e, f}?
პასუხი
(B)
{f}
47
Which of the following statements about the empty set (Ø) is FALSE?
პასუხი
(C)
The empty set is the complement of the universal set.
48
The set { } is also known as the _______ set.
პასუხი
(C)
Empty
49
Which of the following is the correct symbol for 'is a subset of'?
პასუხი
(B)
⊆
50
If A = {1, 3, 5} and B = {2, 4, 6}, which of the following correctly describes A and B?
