Q1. Elements of power set {a,b,c,d} =
The power set of a set with n elements has 2^n elements; here, n=4, so 2^4 = 16 subsets.
Class 9 Math Chapter 3: Sets and Functions MCQs With Explanations
Practice Class 9 Math Chapter 3: Sets and Functions MCQs with explanations for Pakistani board exams. Includes solved objective questions, answer checking, chapter revision guidance and next chapter suggestions.
14 MCQs
Chapter 3: Sets and Functions Objective Preparation
Use this page for direct chapter practice, answer checking and explanation review. It is available through the clean URL shown in the browser, so students can bookmark and share this exact chapter.
14Total MCQs
14With explanations
8Topics represented
Topics found: Power Set, Set Types, Set Notation, Sequences, Logical Symbols, Set Difference, Number Systems, Set Operations
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Sets and Functions MCQs With Explanations
Q2. The set {0} is:
A singleton set contains exactly one element, and {0} has one element, so it is a singleton set.
Q3. Symbol for membership of a set:
The symbol ∈ denotes membership, indicating that an element belongs to a set.
Q4. Fibonacci sequence formula Fn = ...
The Fibonacci sequence is defined by each term being the sum of the two preceding terms: Fn = Fn−1 + Fn−2.
Q5. If the intersection of two sets is empty set, the sets are said to be:
Two sets are disjoint if their intersection is empty, meaning they share no common elements.
Q6. The symbol ⋁ means:
The symbol ⋁ is the logical disjunction operator, which means 'or' in propositional logic.
Q7. If A ⊆ B and B – A ≠ φ, then n(B – A) =
Since A is a subset of B, the number of elements in B – A is the count of elements in B not in A, which is n(B) – n(A).
Q8. {0, ±1, ±2, ±3, ±4, ... }
The set includes all positive and negative whole numbers along with zero, which defines the set of integers.
Q9. Set with single element has number of subsets:
A set with one element has two subsets: the empty set and the set itself. Hence, the power set has 2^1 = 2 elements.
Q10. If n(A ∪ B) = 50, n(A) = 30, n(B) = 35, then n(A ∩ B) =
Using n(A ∪ B) = n(A) + n(B) - n(A ∩ B), we solve 50 = 30 + 35 - n(A ∩ B), giving n(A ∩ B) = 15.
Q11. The set builder form of { 1/3, 1/5, 1/7, ... } is:
The sequence 1/3, 1/5, 1/7, ... corresponds to reciprocals of odd integers starting from 3, which is 1/(2n+1) for n ∈ W (n=1,2,3,...).
Q12. If U = {1,2,3,4,5}, A = {1,2,3}, B = {3,4,5}, then U – (A ∩ B) =
A ∩ B = {3}, so U – {3} = {1,2,4,5}.
Q13. If A and B are overlapping sets, then n(A – B) =
A – B consists of elements in A not in B, so its cardinality is n(A) minus the intersection n(A ∩ B).
Q14. If A = { }, then P(A) is:
The power set of the empty set contains one element: the empty set itself, so P(∅) = {∅} = {{ }}.
Chapter 3: Sets and Functions Revision Guide
Complete the MCQs first, then review every incorrect answer against the textbook heading where that concept appears. For biology and other science subjects, pay attention to terminology, diagrams, sequence of processes, examples and differences between similar structures or functions.
This chapter page keeps the exact class, subject, chapter, question count, answer checking, explanations and follow-up chapters together, so students can revise from one focused URL instead of searching through the full book again.
Class 9 Mathematics MCQ Preparation: Sets and Functions
This page supports Matric Part 1 practice in Mathematics. At this stage, the main purpose is building the definitions, symbols, rules and study habits needed for later matric work. The questions available here should be used with the current textbook and the instructions issued by the learner's school or examination board.
What Mathematics MCQs can test
In Mathematics, objective questions commonly draw on definitions, formulas, identities, properties, signs, graphs, theorem statements and short calculations. A useful answer is based on the exact wording and concept, not simply on recognising a familiar option. For this subject, learners should identify the rule being tested, perform the essential working separately and check signs, restrictions and units before selecting an option.
Sets and Functions: what to focus on
Definitions, notation, properties, formulas, restrictions and the logical steps needed to reach a valid result.
Complete the smallest useful calculation on paper and test whether the answer satisfies the original condition.
Common mistakes for Class 9 learners
In this subject, frequent errors include sign mistakes, using a formula outside its conditions, confusing similar properties or selecting an answer from mental arithmetic without verification. Separate new terms that look similar and connect every formula, rule or definition with at least one textbook example. When the page marks an answer as incorrect, the next step should be to identify the mistaken idea and verify it, rather than memorising the displayed answer letter.
A practical revision routine
Read a small textbook section, answer a focused set of MCQs and correct the underlying idea before starting the next section. Before attempting the MCQs, review formulas, identities, definitions, graph behavior, theorem conditions and representative solved examples. Complete a manageable set without notes, check the result, and divide errors into missing knowledge, misunderstood concepts and careless reading. Revise the appropriate section before repeating the chapter.
How to review Sets and Functions after the quiz
List the questions you missed from Sets and Functions and write the textbook heading connected with each one. Explain the correct idea in your own words, then return later and answer a fresh set. This gives the chapter page a clear purpose: finding specific weaknesses in Mathematics rather than only collecting a score.
Accuracy and responsible use
Explanations are provided where they exist in the question bank, but educational databases can contain incomplete or mistaken material. Confirm disputed answers with an authoritative textbook or teacher. Ahmad Learning Hub provides a practice resource and does not claim that a question will appear in an examination or that every available item represents an official board question.