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Chapter test · Mathematics · Class 12

Sets, Relations and Functions

This test asks up to 25 questions on the real pattern and marking, and hands you a concept-by-concept report the moment you finish. It covers 2 key concepts: Types of relations and Types of functions and composition.

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Questions
Up to 25 — 20 MCQ + 5 numerical
Time
60 minutes, fixed
Marking
JEE Main: +4 / −1 on A, +4 / 0 on B
Class
Class 12 · Mathematics
Report
Concept breakdown + cognitive demand, instantly

What this test covers

2 key concepts, tested the way the exam tests them.

Mapped from EduPeak’s learning framework for this chapter — the same map your report scores you against.

  1. 1
    Types of relations
    • Classifies relations as reflexive, symmetric, transitive and equivalence.Apply & Analyse
  2. 2
    Types of functions and composition
    • Classifies functions as one-one/onto and works with composition and invertibility.Apply & Analyse
Level of thinking demanded2 learning objectives
Recall & understandingApply & AnalyseHigher-order

This chapter is tested mostly at the Apply & Analyse level.

In your board

Where this chapter sits in your syllabus.

The same EduPeak test, found under your own textbook’s chapter name.

  • CBSE
    Sets · Relations and Functions
    ✓ in your syllabus
  • Gujarat (GSEB)
    Sets · Relations and Functions
    ✓ in your syllabus
  • Madhya Pradesh (MPBSE)
    Sets · Relations and Functions
    ✓ in your syllabus
  • Rajasthan (RBSE)
    Sets · Relations and Functions
    ✓ in your syllabus
  • Bihar (BSEB)
    Unit-I Mathematical Logic, Sets & Functions — Sets · Unit-I Mathematical Logic, Sets & Functions — Relations and Functions · Unit-I Relations and Functions — Relations and Functions
    ✓ in your syllabus
  • Uttar Pradesh (UPMSP)
    समुच्चय तथा फलन - समुच्चय / Sets · समुच्चय तथा फलन - सम्बन्ध तथा फलन / Relations and Functions · सम्बन्ध तथा फलन - सम्बन्ध तथा फलन / Relations and Functions
    ✓ in your syllabus
  • ISC (CISCE)
    Sets and Functions - Sets · Sets and Functions - Relations & Functions · Relations and Functions - Types of Relations
    ✓ in your syllabus
  • Cambridge International A Level
    Functions (P1) · Logarithmic and exponential functions (P3)
    ✓ in your syllabus
  • IB Diploma Programme (HL)
    SL 2.2 Concept of a function, domain, range and graph (Topic 2: Functions) · SL 2.3 The graph of a function (Topic 2: Functions) · SL 2.4 Key features of graphs (Topic 2: Functions) · SL 2.5 Composite and inverse functions (Topic 2: Functions) · SL 2.8 Reciprocal and rational functions (Topic 2: Functions) · SL 2.9 Exponential and logarithmic functions (Topic 2: Functions) · SL 2.10 Solving equations graphically and analytically (Topic 2: Functions) · SL 2.11 Transformations of graphs (Topic 2: Functions) · AHL 2.13 Rational functions and asymptotes (Topic 2: Functions) · AHL 2.14 Odd and even functions (Topic 2: Functions) · AHL 2.15 Solutions of g(x) >= f(x) (Topic 2: Functions) · AHL 2.16 Graphs of · f(x) · and 1/f(x) (Topic 2: Functions)
    ✓ in your syllabus
See all chapters in your board’s names →

Try one

A sample question from this chapter.

Drawn fresh from the chapter’s bank on every visit. Reveal the worked solution when you are ready — the way your report explains every question.

SampleMathematics· Numerical+4 / 0
Let . The number of relations on , containing and , which are reflexive and transitive but not symmetric, is:
    Worked, step by step — the way your report explains every question. Loads on request.
    In the real test, every question is fresh from the chapter’s bank — and your report shows the worked solution for each one.

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    Related Class 12 Mathematics chapters

    Matrices and DeterminantsLimits, Continuity and DifferentiabilityIntegral CalculusDifferential EquationsThree Dimensional GeometryVector Algebra

    Good to know

    About this chapter test

    How is the test scored?
    Exactly like JEE Main: +4 for a correct answer, −1 for a wrong MCQ, and no negative marking on numericals. Your total, pacing and concept-by-concept accuracy appear in your report the moment you submit.
    Which class is Sets, Relations and Functions in?
    Sets, Relations and Functions sits in Class 12 Mathematics here. Pick your class when you start — the whole chapter list is organised the same way.
    Can I take it more than once?
    Yes — each attempt draws from the chapter’s bank, and your report tracks your best and your progress across attempts.
    Is it free?
    Free chapter tests are included with every account, and each one comes with the complete report. No card needed to start.

    25 questions. 60 minutes. One honest answer.

    Find out exactly where you stand on this chapter — today.

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