**MCQs Questions for Class 12 Maths Chapter 1 Relations and Functions**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a major role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns.

In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should more focus on the MCQ questions. Thus, let’s solve these MCQs Questions to make our foundation very strong.

In this post, you will find **20** **MCQs questions for class 12 maths chapter 1 relations and functions**.

**MCQs Questions for Class 12 Maths Chapter 1 Relations and
Functions**

**1.** Which of these is not a
type of relation?

(a)
Reflexive

(b)
Surjective

(c) Transitive

(d) Symmetric

**Answer: b**

**2.** The function f : A → B
defined by f(x) = 4x + 7, x ∈ R is

(a) one-one

(b) many-one

(c) even

(d) odd

**Answer: a**

**3. **What type of a relation
is R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} on the set A = {1, 2, 3, 4}?

(a)
Reflexive

(b) Symmetric

(c) Transitive

(d) None of
these

**Answer: d**

**4. **The smallest integer function f(x) = [x] is

(a) One-one

(b)
Many-one

(c) Both
(a) and (b)

(d) None of
these

**Answer: b**

**5. **The number of bijective functions from set A to A, when A
contains 106 elements, is

(a) 106!

(b) (106)^{2}

(c) 106

(d) 2^{106}

**Answer: a**

**6. **Which of the following
relations is symmetric but neither reflexive nor transitive for a set A = {1,
2, 3}?

(a) R =
{(1, 2), (1, 3), (1, 4)}

(b) R =
{(1, 2), (2, 1)}

(c) R =
{(1, 1), (2, 2), (3, 3)}

(d) R =
{(1, 1), (1, 2), (2, 3)}

**Answer:**** b**

**7. **If an operation * is defined by a* b = a² + b², then the
value of (1 * 2) * 6 is equal to

(a) 12

(b) 28

(c) 61

(d) None of
these

**Answer:**** c**

**8. **If f : R → R and g : R → R are defined by f(x) = 2x + 3 and
g(x) = x^{2} + 7, then the value of x for which f(g(x)) = 25, is

(a) ±1

(b) ±2

(c) ±3

(d) ±4

**Answer: b**

**9. **If f : R → R, g : R → R
and h : R → R are such that f(x) = x^{2}, g(x) = tan x and h(x) = log
x, then the value of (go(foh)) (x), if x = 1, is

(a) 0

(b) 1

(c) -1

(d) Ï€

**Answer: a**

**10.** Which of the following
relations is transitive but not reflexive for the set A = {3, 4, 6}?

(a) R =
{(3, 4), (4, 6), (3, 6)}

(b) R =
{(1, 2), (1, 3), (1, 4)}

(c) R =
{(3, 3), (4, 4), (6, 6)}

(d) R =
{(3, 4), (4, 3)}

**Answer:**** a**

**11. **Which type of function the following figure represents?

(a) one-one

(b) many-one

(c) onto

(d) neither
one-one nor onto

**Answer:**** a**

**12. **Consider the binary operation * which is defined by x * y = 1
+ 12x + xy, ∀ x, y ∈ Q, then 2 * 3 is equal to

(a) 43

(b) 40

(c) 31

(d) None of
these

**Answer:**** c**

**13. **The number of binary operations that can be defined on a set
of 2 elements is

(a) 8

(b) 4

(c) 16

(d) 64

**Answer: c**

**14. **Let A = N × N and * be the binary operation on A defined by
(a, b) * (c, d) = (a + c, b + d). Then * is

(a)
commutative

(b)
associative

(c) Both
(a) and (b)

(d) None of
these

**Answer: c**

**15. ** Let the set M = {7,
8, 9}. Determine which of the following functions is invertible for f : M → M.

(a) f =
{(7, 7), (8, 8), (9, 9)}

(b) f =
{(7, 8), (7, 9), (8, 9)}

(c) f =
{(8, 8), (8, 7), (9, 8)}

(d) f =
{(9, 7), (9, 8), (9, 9)}

**Answer:**** a**

**16. **Let the sets E = {1, 2,
3, 4} and F = {1, 2}. Then, the number of onto functions from E to F is

(a) 16

(b) 14

(c) 12

(d) 8

**Answer:**** b**

**17. **The maximum number of equivalence relations on the set A =
{1, 2, 3} are

(a) 1

(b) 2

(c) 3

(d) 5

**Answer:**** d**

**18. **The binary operation * defined on N by a * b = a + b + ab,
for all a, b ∈ N is

(a)
commutative only

(b)
associative only

(c) both
commutative and associative

(d) none of
these

**Answer: c**

**19. **Let the set A = {1, 2}. How many binary operations can be
defined on this set?

(a) 8

(b) 10

(c) 16

(d) 20

**Answer:**** c**

**20. **The relation R is
defined on the set of natural numbers as {(a, b) : a = 2b}. Then, R^{-1} is
given by

(a) {(2,
1), (4, 2), (6, 3),….}

(b) {(1,
2), (2, 4), (3, 6), ……..}

(c) R^{-1} is
not defined

(d) None of
these

**Answer:**** b**