Home › NEET Maths MCQs › Relations and Functions
JEE · Maths · Class 12

Relations and Functions — NEET Maths MCQs

30 questions written by hand against the NCERT chapter. Every wrong option is explained, not just the right one.

30questions
10/14/6easy / medium / hard
₹0no login
Take the Relations and Functions test →
Free · your all-India rank after you finish

Sample questions from this chapter

On A = {1, 2, 3}, which set of ordered pairs is the identity relation?
  1. {(1,1), (2,2), (3,3)} ✓
  2. {(1,2), (2,3), (3,1)}
  3. {(1,1), (1,2), (1,3)}
  4. {(1,1), (2,2)}
Answer: A. The identity relation on A is {(a,a): a ∈ A}, hence {(1,1), (2,2), (3,3)}.
Why not B: This cycles the elements; an identity relation must pair every element with itself.
Why not C: Only 1 is used as the first coordinate, so 2 and 3 are not related to themselves.
Why not D: The self-pair (3,3) is missing, so the relation is not the identity on all of A.
On A={1,2,3}, R={(1,1),(2,2),(3,3),(1,2),(2,1)}. Which statement is correct?
  1. R is reflexive but not symmetric
  2. R is symmetric but not transitive
  3. R is an equivalence relation ✓
  4. R is transitive but not reflexive
Answer: C. R partitions A into {1,2} and {3}. It contains exactly all pairs within each block, so it is reflexive, symmetric and transitive.
Why not A: Both (1,2) and its reverse (2,1) occur, while self-pairs reverse to themselves; R is symmetric.
Why not B: The only nontrivial chains stay within {1,2}, and all their required pairs are present.
Why not D: All three self-pairs occur, so R is reflexive.
Let A={1,2,3}. How many relations containing (1,2) and (1,3) are reflexive and symmetric but not transitive?
  1. 1 ✓
  2. 2
  3. 3
  4. 4
Answer: A. Reflexivity forces three self-pairs and symmetry forces (2,1),(3,1). The only remaining symmetric pair is {(2,3),(3,2)}; omitting it gives the unique nontransitive relation, while including it gives A×A.
Why not B: It treats inclusion or exclusion of {(2,3),(3,2)} as two valid choices; inclusion makes the relation transitive.
Why not C: It counts the forced reverse pairs as optional even though symmetry requires both.
Why not D: It independently toggles (2,3) and (3,2), violating symmetry when exactly one is chosen.

These are 3 of the 30 questions in the test. Take the full chapter test →

Read the chapter first

Every NCERT question in this chapter is solved, free: NCERT solutions — Relations and Functions →

Other NEET Maths chapters

SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and Combinations

All 27 chapters →

Questions

How many NEET questions are there on Relations and Functions?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 12 chapter.

Is this NEET Maths chapter test free?

Yes. Every chapter test is free with no login, and you get your all-India rank on every one. Nothing on the site is on sale right now.

Do the questions explain the wrong options?

Yes — every distractor carries its own explanation naming the specific misconception that makes a student pick it. That is the part most question banks skip, and it is the part that changes your next attempt.