Start learning →

JEE Main Relations and Functions — practice questions

Explore 43 free Relations and Functions questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Relations and Functions with Quill →

Relations and Functions questions and exercises with answers

Showing questions 1–30 of 43.

A set is:Read the answer and worked solution →Empty set has cardinality:Read the answer and worked solution →Universal set:Read the answer and worked solution →Function f: A → B is onto (surjective) if:Read the answer and worked solution →Power set of {1, 2, 3} has:Read the answer and worked solution →n(A ∪ B) =Read the answer and worked solution →De Morgan's law: (A ∪ B)' =Read the answer and worked solution →Cartesian product A × B has cardinality:Read the answer and worked solution →A relation from A to B is:Read the answer and worked solution →Domain of relation:Read the answer and worked solution →Number of functions from A (|A| = n) to B (|B| = m):Read the answer and worked solution →Identity function I: A → A is:Read the answer and worked solution →The value of $\tan\dfrac{\pi}{4}$ is:Read the answer and worked solution →A relation R in a set A is a subset of:Read the answer and worked solution →A relation in which no element of A is related to any is the:Read the answer and worked solution →A relation in which each element relates to every element is:Read the answer and worked solution →The empty and the universal relations are together called:Read the answer and worked solution →A relation holding (a, a) for every a in A is called:Read the answer and worked solution →If (a, b) in R always gives (b, a) in R, the relation is:Read the answer and worked solution →If (a, b) and (b, c) in R give (a, c) in R, it is:Read the answer and worked solution →An equivalence relation is reflexive, symmetric and:Read the answer and worked solution →Congruence of triangles is reflexive because a triangle is:Read the answer and worked solution →Perpendicularity of lines is not reflexive because a line:Read the answer and worked solution →A function sending distinct elements to distinct images is:Read the answer and worked solution →Another name for a one-one function is:Read the answer and worked solution →A function in which every element of Y has a preimage is:Read the answer and worked solution →Another name for an onto function is:Read the answer and worked solution →A function that is both one-one and onto is called:Read the answer and worked solution →A function is invertible exactly when it is:Read the answer and worked solution →For f(x) = 2x from N to N, the function is:Read the answer and worked solution →

Worked practice questions

A set is:

  1. Random list
  2. A well-defined collection of distinct objects
  3. Operation
  4. Sequence
Show answer and solution

Correct answer: B. A well-defined collection of distinct objects

**Set:** collection of distinct elements with well-defined membership criterion. Order doesn't matter. Repetition doesn't add elements. **Notation:** A = {1, 2, 3}.

Open this question →

Empty set has cardinality:

  1. 1
  2. -1
  3. ∞
  4. 0
Show answer and solution

Correct answer: D. 0

Empty set ∅ or {}: no elements, n(∅) = 0. Subset of every set. Unique.

Open this question →

Universal set:

  1. Pair
  2. Subset
  3. Empty
  4. Set containing all elements under consideration
Show answer and solution

Correct answer: D. Set containing all elements under consideration

**Universal set U:** contains all elements relevant to discussion. Complement of A = U - A. Universal set depends on context.

Open this question →

How to practise

  1. Choose a Relations and Functions question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Relations and Functions practice for JEE Main. Read explanations as you go. No signup form needed to start.

Practise Relations and Functions →

More Mathematics topics

Statistics and ProbabilityDeterminantsVector Algebra and 3D GeometryContinuity, Differentiability & DerivativesDifferential EquationsIntegrals and ApplicationsMatrices and DeterminantsRelations, Functions & Inverse Trigonometry