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Maths Quiz for Class 12

To improve performance level in Class 12th Maths Exam, students can practice the below provided Maths Quiz for Class 12. Check important and selected Grade 12th Maths Questions and Answers that are available in the form of Multiple-Choice Questions (MCQs).

The given Maths Practice Test for Class 12 will be proved helpful for the students, as the questions given here covers up all the chapters of mathematics subject.

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Maths Quiz for Class 12

Chapter wise questions given in Maths Quiz for Class 12 is as per the latest pattern and it will be helpful for students, as they will know what types of questions are asked in the exam. Solve out the given Class 12 Maths MCQ and know your performance level before going for the board examination.

Relations and Functions:

Question 1:The function f: A → B defined by f(x) = 4x + 7, x ∈ R is

one-one
Many-one
Odd
Even

Answer:(1) one-one

Question 2:The smallest integer function f(x) = [x] is

One-one
Many-one
Both (a) & (b)
None of these

Answer:(2) Many-one

Question 3:The function f: R → R defined by f(x) = 3 – 4x is

Onto
Not onto
None one-one
None of these

Answer:(1) Onto

Question 4:The number of bijective functions from set A to itself when A contains 106 elements is

106
(106)2
106!
2106

Answer:(3) 106!

Question 5: If f(x) = (ax2 + b)3, then the function g such that f(g(x)) = g(f(x)) is given by

g(x)=(b−x1/3a)
g(x)=1(ax2+b)3
g(x)=(ax2+b)1/3
g(x)=(x1/3−ba)1/2

Answer:(4) g(x)=(x1/3−ba)1/2

Question 6:The number of commutative binary operation that can be defined on a set of 2 elements is

Answer:(4) 2

Question 7:Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a is congruent to b ∀ a, b ∈ T. Then R is

reflexive but not transitive
transitive but not symmetric
equivalence
None of these

Answer:(3) equivalence

Question 8:The maximum number of equivalence relations on the set A = {1, 2, 3} are

Answer:(4) 5

Question 9:Let us define a relation R in R as aRb if a ≥ b. Then R is

an equivalence relation
reflexive, transitive but not symmetric
symmetric, transitive but not reflexive
neither transitive nor reflexive but symmetric

Answer:(2) reflexive, transitive but not symmetric

Question 10:The mapping f: N → N is given by f(n) = 1 + n2, n ∈ N when N is the set of natural numbers is

one-one and onto
onto but not one-one
one-one but not onto
neither one-one nor onto

Answer:(3) one-one but not onto

Matrices:

Question 1:If A and B are symmetric matrices of the same order, then

AB is a symmetric matrix
A – Bis askew-symmetric matrix
AB + BA is a symmetric matrix
AB – BA is a symmetric matrix

Answer:(3) AB + BA is a symmetric matrix

Question 2:If A is a square matrix, then A – A’ is a

diagonal matrix
skew-symmetric matrix
symmetric matrix
none of these

Answer:(2) skew-symmetric matrix

Question 3:For any square matrix A, AAT is a

unit matrix
symmetric matrix
skew-symmetric matrix
diagonal matrix

Answer:(2) symmetric matrix

Question 4:If a matrix A is both symmetric and skew-symmetric, then

A is a diagonal matrix
A is a zero matrix
A is a scalar matrix
A is a square matrix

Answer:(2) A is a zero matrix

Question 5:If A2 – A + I = O, then the inverse of A is

I – A
A – I
A
A + I

Answer:(1) I – A

Question 6:Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is

Answer:(4) 512

Question 7: If A is a matrix of order m × n and B is a matrix such that AB’ and B’A are both defined, then the order of matrix B is

m × m
n × n
n × m
m × n

Answer:(4) m × n

Question 8:If A and B are matrices of the same order, then (AB’ – BA’) is a

skew-symmetric matrix
null matrix
symmetric matrix
unit matrix

Answer:(1) skew-symmetric matrix

Question 9:If A is a square matrix such that A2 = I, then (A – I)3 + (A + I)3 – 7A is equal to

A
I – A
I + A
3A

Answer:(1) A

Question 10: If A is an m × n matrix such that AB and BA are both defined, then B is a

m × n matrix
n × m matrix
n × n matrix
m × n matrix

Answer:(2) n × m matrix

Maths Practice Test:

Answers for these questions are available at the end.

Maths Quiz Questions with answers for Class 12 are given here.

Question 1) Given set A={1, 2, 3} and a relation R = {(1, 2), (2, 1)}, the relation R will be

(a) reflexive if (1, 1) is added

(b) symmetric if (2, 3) is added

(d) symmetric if (3, 2) is added

Question 2) Set A has 3 elements and the set B has 4 elements. Then the number of injective functions that can be defined from set A to set B is
(a) 144
(b) 12
(c) 24
(d) 64

Question 3) A relation S in the set of real numbers is defined as xSy ⇒ x – y+ √3 is an irrational number, then relation S is
(a) reflexive
(b) reflexive and symmetric
(c) transitive
(d) symmetric and transitive

Question 4) Let R be a relation on the set L of lines defined by l₁ R l₂ if l₁ is perpendicular to l₂, then relation R is
(a) reflexive and symmetric
(b) symmetric and transitive
(c) equivalence relation
(d) symmetric

From Here: NCERT Books – Download

Question 5) Total number of possible matrices of order 2 × 3 with each entry 1 or 0 is
(a) 6
(b) 36
(c) 32
(d) 64

Question 6) If matrices A and B are inverse of each other than
(a) AB = BA
(b) AB = BA = I
(c) AB = BA = 0
(d) AB = 0, BA = I

Question 7) Let A be a square matrix of order 2 × 2, then |KA| is equal to
(a) K|A|
(b) K²|A|
(c) K³|A|
(d) 2K|A|

Question 8) A and B are invertible matrices of the same order such that |(AB)-1| = 8, If |A| = 2, then |B| is

(a) 16

(b) 4

(d) 1/16

Question 9) A function /is said to be continuous for x ∈ R, if
(a) it is continuous at x = 0
(b) differentiable at x = 0
(c) continuous at two points
(d) differentiable for x ∈ R

Question 10) Derivative of cot x° with respect to x is
(a) cosec x°
(b) cosec x° cot x°
(c) -1° cosec2 x°
(d) -1° cosec x° cot x°

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Question 11) The total revenue in ₹ received from the sale of x units of an article is given by R(x) = 3x² + 36x + 5. The marginal revenue when x = 15 is (in ₹ )
(a) 126
(b) 116
(c) 96
(d) 90

Question 12) The point(s) on the curve y = x², at which y-coordinate is changing six times as fast as x-coordinate is/are
(a) (2, 4)
(b) (3, 9)
(c) (3, 9), (9, 3)
(d) (6, 2)

Question 13) ∫cot²x dx equals to
(a) cot x – x + C
(b) cot x + x + C
(c) -cot x + x + C
(d) -cot x – x + C

Question 14) If ∫ sec²(7 – 4x)dx = a tan (7 – 4x) + C, then value of a is
(a) 7
(b) -4
(c) 3
(d) −1/4

Question 15) Area of the region bounded by the curve x = 2y + 3, the y-axis and between y = -1 and y = 1 is
(a) 4 sq units 3
(b) 3/2 sq units
(c) 6 sq units
(d) 8 sq units

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Question 16) Area bounded by the curve y = sin x and the x-axis between x = 0 and x = 2π is
(a) 2 sq units
(b) 0 sq units
(c) 3 sq units
(d) 4 sq units

Question 17) The order of the differential equation of all the circles of given radius 4 is
(a) 1
(b)2
(c) 3
(d) 4

Question 18) The differential equation of the family of lines passing through ongrn is
(a) y = mx
(b) dy/dx = m
(c) x dy – y dx = 0
(d) dy/dx = 0

Question 19) Given set A = {a, b, c). An identity relation in set A is
(a) R = {(a, b), (a, c)}
(b) R = {(a, a), (b, b), (c, c)}
(c) R = {(a, a), (b, b), (c, c), (a, c)}
(d) R= {(c, a), (b, a), (a, a)}

Question 20) The distance of point (2, 5, 7) from the x-axis is
(a) 2
(b) √74
(c) √29
(d) √53

Want to Know? How to Prepare For Maths Exam

Question 21) A line makes angle α, β, γ with x-axis, y-axis and z-axis respectively then cos 2α + cos 2β + cos 2γ is equal to
(a) 2
(b) 1
(c) -2
(d) -1

Question 22) If the direction cosines of a line are k/3,k/3,k/3, then value of k is
(a) k > 0
(b) 0 < k < 1.
(c) k = 13
(d) k = ± 73

Question 23) Feasible region is the set of points which satisfy
(a) the objective functions
(b) some of the given constraints
(c) all of the given constraints
(d) none of these

Question 24) Three balls are drawn from a bag containing 2 red and 5 black balls, if the random variable X represents the number of red balls drawn, then X can take values
(a) 0, 1, 2
(b) 0, 1, 2, 3
(c) 0
(d) 1, 2

Also Check Out: List Of Important Maths Formulas

Question 25) Let A and B be two given independent events such that P(A) =p and P(B) = q and P(exactly one of A, B) = 2/3, then value of 3p + 3q – 6pq is
(a) 2
(b) -2
(c) 4
(d) -4