IIT JEE Maths Practice Paper 11 – PYQs – Topic: Sets, Relations and Functions with Solution

1. Let A = {1, 2, 3}, B = {3, 4, 5}. What is A ∩ B?

a) {1, 2}
b) {3}
c) {1, 2, 3, 4, 5}
d) { }

2. If f(x) = x² + 1, then f(2) is:

a) 5
b) 3
c) 6
d) 7

3. If A = {x ∈ N : x < 6}, then set A is:

a) {0,1,2,3,4,5}
b) {1,2,3,4,5}
c) {2,4,6}
d) Infinite set

4. If f: R → R is defined by f(x) = 2x + 3, then f is:

a) One-one
b) Onto
c) Bijective
d) Constant

5. Number of subsets of a set with 3 elements is:

a) 6
b) 9
c) 8
d) 4

6. If A = {1, 2}, B = {a, b}, then number of relations from A to B is:

a) 2
b) 4
c) 8
d) 16

7. The number of functions from set A (3 elements) to B (2 elements) is:

a) 6
b) 8
c) 4
d) 2

8. Which of the following is a function?

a) {(1,2), (1,3)}
b) {(2,1), (3,1)}
c) {(2,3), (3,4)}
d) {(1,2), (2,1), (2,3)}

9. Domain of f(x) = √(x-1) is:

a) x ≥ 0
b) x ≥ 1
c) x < 1
d) All real x

10. Range of f(x) = x² where x ∈ R is:

a) All real numbers
b) R+
c) [0, ∞)
d) (−∞, ∞)