Home › NEET Maths MCQs › Relations and Functions
JEE · Maths · Class 11

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

If A = {1, 2, 3} and B = {a, b}, how many elements does A × B have?
  1. 6 ✓
  2. 5
  3. 9
  4. 3
Answer: A. A × B is the set of all ordered pairs (a, b) with a ∈ A and b ∈ B. Each of the 3 elements of A pairs with each of the 2 elements of B, giving 3 × 2 = 6 pairs.
Why not B: Adds 3 + 2. Each element of A pairs with EVERY element of B, so the counts multiply, not add.
Why not C: Computes 3², using A twice. The second coordinate must come from B.
Why not D: Reports n(A) alone, counting one pair per element of A instead of one per element of B as well.
A = {1, 2} and B = {3, 4}. Which ordered pair belongs to A × B?
  1. (2, 3) ✓
  2. (3, 2)
  3. (1, 2)
  4. (4, 4)
Answer: A. An element of A × B is an ordered pair whose FIRST entry is from A and whose SECOND entry is from B. Only (2, 3) has 2 ∈ A and 3 ∈ B.
Why not B: (3, 2) has its entries the wrong way round: 3 comes from B and 2 from A, so this pair belongs to B × A. In an ordered pair the ORDER carries meaning.
Why not C: Both entries are drawn from A. The second entry must come from B.
Why not D: Both entries are drawn from B. The first entry must come from A.
A has 3 elements and B has 2 elements. Of the 64 relations from A to B, how many are functions?
  1. 8 ✓
  2. 64
  3. 6
  4. 9
Answer: A. A function must send each of the 3 elements of A to exactly one of the 2 elements of B: 2 × 2 × 2 = 2³ = 8. So only 8 of the 64 relations are functions.
Why not B: 64 counts EVERY relation. Most of them fail to be functions — they leave some element of A with no image, or give one element two images.
Why not C: 6 is n(A × B), the number of available pairs, not the number of ways to choose one image per element of A.
Why not D: 3² swaps base and exponent. Each of the 3 elements of A gets one of 2 images, so it is 2³.

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

SetsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and CombinationsBinomial Theorem

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 11 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.