💬 Discord
Login

Relations and Functions Practice Questions

Class 11 · Mathematics · 1522 free MCQs with instant results and detailed explanations.

1522
Total
544
Easy
735
Medium
243
Hard

Start Practicing Relations and Functions

Take a timed quiz or customize your practice session

Quick Quiz (10 Qs) → Mock Test (25 Qs) ⚙ Customize

Topics in Relations and Functions

Cartesian Product 436
Relations 324
Domain and Range 443
Functions 319

Sample Questions from Relations and Functions

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
If set A = {1, 2} and set B = {x, y}, what is the Cartesian product A × B?
A. {(1, x), (1, y), (2, x), (2, y)}
B. {(1, 1), (2, 2)}
C. {(x, y)}
D. {(1, 2), (x, y)}
Show Answer & Explanation
Correct Answer: A
The Cartesian product A × B consists of all ordered pairs where the first element is from set A and the second from set B.
Q2
Easy
If A = {1, 2, 3} and B = {a, b}, how many elements are in the Cartesian product A × B?
A. 2
B. 3
C. 6
D. 5
Show Answer & Explanation
Correct Answer: C
The number of elements in the Cartesian product A × B is given by the product of the number of elements in A and B. Here, 3 × 2 = 6.
Q3
Easy
Which of the following pairs is an element of the Cartesian product {0, 1} × {True, False}?
A. (0, True)
B. (1, 1)
C. (False, 0)
D. (1, False)
Show Answer & Explanation
Correct Answer: A
The elements of the Cartesian product {0, 1} × {True, False} can only consist of the first set's elements paired with the second's.
Q4
Medium
Let A = {2, 4} and B = {1, 3, 5}. Which of the following pairs is NOT an element of the Cartesian product A × B?
A. (2, 1)
B. (4, 3)
C. (2, 5)
D. (3, 2)
Show Answer & Explanation
Correct Answer: D
The pairs in A × B consist of the first element from A and the second element from B. (3, 2) is not formed as 3 is not in A.
Q5
Medium
For sets A = {1, 2} and B = {3, 4}, which of the following statements about A × B is correct?
A. A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}
B. A × B = {(3, 1), (4, 1), (3, 2), (4, 2)}
C. A × B = {(1, 3), (2, 4)}
D. A × B = {(2, 3), (1, 4)}
Show Answer & Explanation
Correct Answer: A
The Cartesian product A × B consists of pairs (a, b) where a is from A and b is from B, leading to the pairs listed in option A.
Q6
Medium
Given sets A = {x, y} and B = {1, 2, 3}, which of the following represents an element of A × B?
A. (y, 3)
B. (x, 4)
C. (5, y)
D. (x, 2)
Show Answer & Explanation
Correct Answer: A
An element of A × B must have the first part from A and the second part from B. (y, 3) fits this requirement.
Q7
Medium
What is the Cartesian product of the empty set ∅ with a set B = {1, 2}?
A. ∅
B. {(1, ∅), (2, ∅)}
C. {(∅, 1), (∅, 2)}
D. {(∅, ∅)}
Show Answer & Explanation
Correct Answer: A
The Cartesian product of any set with the empty set is always the empty set, hence A × ∅ = ∅.
Q8
Hard
If A = {1, 2} and B = {x, y, z}, how many elements are there in the Cartesian product A × B?
A. 6
B. 3
C. 2
D. 5
Show Answer & Explanation
Correct Answer: A
The Cartesian product A × B contains all ordered pairs (a, b) where a ∈ A and b ∈ B. Since A has 2 elements and B has 3 elements, the total is 2 * 3 = 6.
Q9
Hard
Let A = {1, 2, 3} and B = {a, b}. What is the set A × B?
A. {(1,a), (1,b), (2,a), (2,b), (3,a), (3,b)}
B. {(1), (2), (3), (a), (b)}
C. {(1,2), (2,3), (3,a)}
D. {(1,a,b), (2,a,b), (3,a,b)}
Show Answer & Explanation
Correct Answer: A
The Cartesian product A × B consists of all possible ordered pairs formed by combining elements from A and B.
Q10
Hard
If |A| = 4 and |B| = 5, what is |A × B|?
A. 20
B. 9
C. 15
D. 25
Show Answer & Explanation
Correct Answer: A
The number of elements in the Cartesian product A × B is the product of the number of elements in A and B, which is 4 * 5 = 20.

Showing 10 of 1522 questions. Start a quiz to practice all questions with scoring and timer.

Practice All 1522 Questions →

More Mathematics Chapters

1 Sets
1518 Qs →
2 Trigonometric Functions
1330 Qs →
3 Principle of Mathematical Induction
2812 Qs →
4 Complex Numbers and Quadratic Equations
1122 Qs →
5 Linear Inequalities
1171 Qs →
6 Permutations and Combinations
541 Qs →
7 Binomial Theorem
524 Qs →
8 Sequences and Series
350 Qs →

Other Class 11 Subjects

⚡ Physics → ⚗️ Chemistry → 🧬 Biology →

Relations and Functions — Class 11 Mathematics Practice Questions Online

This page contains 1522 practice MCQs for the chapter Relations and Functions in Class 11 Mathematics. The questions are organized by difficulty — 544 easy, 735 medium, 243 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 4 topics, giving you comprehensive coverage of the entire chapter.