Class 9 Maths Chapter 3 MCQs – Sets and Functions (FBISE)

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Description: Practice Class 9 Maths Chapter 3 Sets and Functions MCQs according to the latest FBISE syllabus. These exam-oriented questions cover sets, Venn diagrams, subsets, Cartesian products, relations, and functions.

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1. A well-defined collection of distinct objects is called a:

A) Set
B) Relation
C) Function
D) Sequence

2. The symbol used to denote that an element belongs to a set is:

A) $\subset$
B) $\cup$
C) $\in$
D) $\cap$

3. If every element of set $A$ is also an element of set $B$ , then $A$ is called:

A) Universal set
B) Subset of $B$
C) Empty set
D) Complement of $B$

4. The empty set is represented by:

A) {0}
B) { }
C) {NULL}
D) $\varnothing$

5. The union of two sets contains elements that are in:

A) Either set or both sets
B) Both sets only
C) Neither set
D) The first set only

6. The intersection of two sets consists of elements common to:

A) The universal set
B) The complement
C) Both sets
D) Only one set

7. A Venn diagram is mainly used to:

A) Solve equations
B) Represent sets graphically
C) Draw graphs of functions
D) Construct triangles

8. The universal set is usually denoted by:

A) $A$
B) $S$
C) $X$
D) $U$

9. The complement of a set contains elements:

A) In the universal set but not in the given set
B) Present in both sets
C) Present in the intersection only
D) Equal to the empty set

10. An ordered pair is written in the form:

A) $\{a,b\}$
B) $(a,b)$
C) $[a,b]$
D) $a:b$

11. The Cartesian product $A \times B$ consists of:

A) Common elements only
B) Union of sets
C) Ordered pairs with first element from $A$ and second from $B$
D) Complements of both sets

12. A relation from set $A$ to set $B$ is a:

A) Subset of $A \times B$
B) Subset of $A$
C) Universal set
D) Venn diagram

13. A function is a relation in which:

A) One output has many unrelated inputs only
B) Outputs are always different
C) Inputs are repeated with different outputs
D) Each input has exactly one output

14. The set of all first elements in a function is called the:

A) Range
B) Domain
C) Codomain
D) Image

15. The set of actual outputs of a function is known as the:

A) Domain
B) Universal set
C) Range
D) Cartesian product

16. If $A=\{1,2\}$ and $B=\{x,y\}$ , then the number of elements in $A \times B$ is:

A) 4
B) 2
C) 6
D) 8

17. Which statement correctly describes a function?

A) One input must have two outputs.
B) Outputs cannot repeat.
C) Every relation is not defined by ordered pairs.
D) Different inputs may have the same output, but one input cannot have two different outputs.

18. If every element of set A is also an element of set B, then A is:

A) A universal set
B) A subset of B
C) A disjoint set
D) An empty set

19. Two sets having no common elements are called:

A) Equal sets
B) Finite sets
C) Equivalent sets
D) Disjoint sets

20. If $A=\{1,2,3\}$ and $B=\{3,4,5\}$ , then $A \cap B$ is:

A) $\{3\}$
B) $\{1,2,3,4,5\}$
C) $\{1,2\}$
D) $\varnothing$

21. If $A=\{1,2\}$ and $B=\{2,3\}$ , then $A \cup B$ is:

A) $\{2\}$
B) $\{1,3\}$
C) $\{1,2,3\}$
D) $\varnothing$

22. The number of subsets of a set containing 3 elements is:

A) 3
B) 8
C) 6
D) 9

23. The power set of a set is the set of:

A) Prime elements
B) Ordered pairs
C) Common elements
D) All subsets

24. Which symbol denotes union of two sets?

A) $\cup$
B) $\cap$
C) $\subset$
D) $\in$

25. If $n(A)=3$ and $n(B)=4$ , then the number of ordered pairs in $A \times B$ is:

A) 7
B) 9
C) 12
D) 1

26. Which of the following can be represented by a Venn diagram?

A) Only functions
B) Relationships among sets
C) Only equations
D) Only graphs

27. A function from A to B assigns:

A) Many outputs to every input
B) No output to some inputs
C) Two outputs to one input
D) Exactly one output to each input

28. The range of a function is the set of:

A) Actual output values
B) Input values only
C) Ordered pairs
D) Universal elements

29. Which relation is always a function?

A) One input with two outputs
B) A relation with repeated first elements having different second elements
C) A relation where each first element has exactly one image
D) None of these

30. If $A=\{a,b\}$ and $B=\{1,2,3\}$ , then $A \times B$ contains:

A) 5 elements
B) 6 ordered pairs
C) 3 elements
D) 2 ordered pairs

31. Which statement about ordered pairs is true?

A) $(a,b)=(b,a)$ always
B) Order has no importance
C) They represent subsets
D) Generally, $(a,b)\neq(b,a)$

32. Which of the following is a finite set?

A) The months of a year
B) The set of integers
C) The set of real numbers
D) The set of natural numbers

33. If two sets contain exactly the same elements, they are:

A) Disjoint
B) Equivalent
C) Equal
D) Universal

34. Which branch of mathematics provides the foundation for relations and functions?

A) Trigonometry
B) Set Theory
C) Statistics
D) Geometry

35. If $A=\{1,2,3\}$ , then the number of proper subsets of $A$ is:

A) 7
B) 8
C) 6
D) 3

36. The intersection of two disjoint sets is always:

A) Universal set
B) Equal to one of the sets
C) A singleton set
D) The empty set

37. If $A \subseteq B$ , then $A \cup B$ is equal to:

A) $A$
B) $B$
C) $\varnothing$
D) $A \cap B$

38. If $A \subseteq B$ , then $A \cap B$ is equal to:

A) $\varnothing$
B) $B$
C) $A$
D) $U$

39. Which of the following relations is a function?

A) $\{(1,a),(2,b),(3,c)\}$
B) $\{(1,a),(1,b),(2,c)\}$
C) $\{(2,x),(2,y)\}$
D) $\{(5,p),(5,q)\}$

40. In a function, an element of the domain can have:

A) Two or more images
B) Exactly one image
C) No image
D) Infinitely many images

41. Which operation is represented by the shaded common region in a Venn diagram?

A) Union
B) Complement
C) Difference
D) Intersection

42. If a set contains $n$ elements, the number of subsets is:

A) $n^2$
B) $2n$
C) $2^n$
D) $n!$

43. Which of the following is an infinite set?

A) Set of whole numbers
B) Days in a week
C) Months in a year
D) Continents of the world

44. If $A=\{2,4,6\}$ and $4 \in A$ , then 4 is called:

A) A subset
B) A relation
C) A function
D) An element of $A$

45. Which statement is true about equal sets?

A) They have the same number of elements only.
B) They contain exactly the same elements.
C) They are always disjoint.
D) They must be infinite.

46. The domain of a function consists of:

A) Output values only
B) Ordered pairs only
C) All permissible input values
D) Common elements of two sets

47. Which of the following is always true for a function?

A) Every element of the domain has exactly one image.
B) Every element of the codomain must be used.
C) Different inputs cannot have the same output.
D) Every relation is a function.

48. If $n(A)=5$ and $n(B)=2$ , then the number of elements in $A \times B$ is:

A) 5
B) 7
C) 10 ordered elements
D) 10 ordered pairs

49. Which branch of mathematics extensively uses sets and functions as its foundation?

A) Mensuration only
B) Modern algebra and higher mathematics
C) Drawing and design
D) Practical geometry only

50. The study of sets and functions helps students primarily because it:

A) Eliminates the need for equations.
B) Is useful only in geometry.
C) Builds a foundation for advanced mathematical concepts.
D) Replaces arithmetic completely.

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Class 9 Maths Chapter 3 – Sets and Functions MCQs (FBISE)

Class 9 Maths Chapter 3 MCQs – Sets and Functions (FBISE)

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