JEE Main Math · U1
Sets, Relations and Functions
JEE Main level practice on set algebra, power sets, relations, equivalence relations, one-one/onto functions, inverse functions, and composition of functions.
Test yourself
A focused, distraction-free run through 50 multiple-choice questions. Hints if you need them; your score at the end.
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Topic 1.1
Set Algebra and Power Sets
Inclusion-exclusion, complements, symmetric difference, and power-set counts with constraints.
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Topic 1.2
Relations and Equivalence Relations
Reflexive, symmetric, transitive, anti-symmetric, and equivalence-class reasoning.
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Topic 1.3
Functions: Domain, Range, and Injectivity
Function counts, range restrictions, one-one tests, and domain/range traps.
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Topic 1.4
Composition and Inverse Functions
Order of composition, rational inverse traps, finite bijections, and iterated functions.
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Topic 1.5
Mixed JEE Main Set-Function Reasoning
Parameter-free contest-style counts combining set partitions, relations, functions, and composition.
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