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Most Important MCQs of Mathematics

If you want to join Pakistan Army, Navy or PAF and worried about preparation of MCQs of Mathematics of intermediate level then following mcqs of mathematics are very important for you. All given mcqs of mathematics are taken from the past experiences of the students who have passed the initial tests of Army PMA Long Course, TCC, LCC, AFNS and Education Branch. Moreover, in the PAF GD Pilots tests, Education Branch, Engineering Branch, Air Defence Branch, Logistics branch, Account branch, and pak Navy M Cadet, and Short Service Commission (SSC) tests.

Past Experiences of MCQs of Mathematics for Commissioned Officers

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Maths Tests Quiz (Inter Level)

1 / 25

The recurring decimal is ___,

natural number

none

real number

rational number

2 / 25

n² -n +41 represents a prime number for all n∈N where:

n≤40

n≤50

n≥200

n≥100

3 / 25

𝒙 − 𝒂 is a factor of 𝒙^𝒏 − 𝒂^𝒏 when 𝒏 is

any odd integer

Any integer

any positive integer

any real number

4 / 25

Set of integers is a group 𝒘. 𝒓. 𝒕

Addition

multiplication

subtraction

division

5 / 25

ax² + bx + c = 0 is called____ equation.

Homogenous

Linear

Bernoulli

Quadratic

6 / 25

The matrix [𝟕] is :

row matrix

all of these

column matrix

Square matrix

7 / 25

The HCF of a³+b³ and a²-ab+b² is ___.

(a-b)²

a+b

a²-ab+b²

a²+b²

8 / 25

If α,β are the roots of 4x²+5x-6=0 , then value of 4α+4β equals:

-5/4

-5

-6

9 / 25

Drawing conclusions from premises believed to be true is called :

contradiction

proposition

induction

deduction

10 / 25

If 𝑨 and 𝑩 are disjoint sets , then 𝑨 ∩ 𝑩 =

𝜑

11 / 25

An infinite geometric series is divergent if

|𝑟| ≠ 1

|𝑟| < 1

𝑟 = 0

|𝑟| > 1

12 / 25

Period of cot x/2 is:

3π

2π

4π

13 / 25

If A and B are independent events, then P(A∩B):

P(A)P(B)

P(A)+P(B)-P(AB)

P(A)-P(B)

P(A)+P(B)

14 / 25

1-e^2x/2e^x is equal to ___.

sin hx

cos hx

-sin hx

-cos hx

15 / 25

Maximize Z = 6x + 4y, subject to x ≤ 2, x + y ≤ 3, -2x + y ≤ 1, x ≥ 0, y ≥ 0.

12 at (2, 0)

1403 at (23, 13)

4 at (0, 1)

16 at (2, 1)

16 / 25

3!/0! =___.

17 / 25

If an event 𝑨 can occur in 𝒑 ways and 𝑩 can occur 𝒒 ways , then number of ways that both events occur is:

(𝑝 + 𝑞)!

𝑝 + 𝑞

𝑝. 𝑞

(𝑝𝑞)!

18 / 25

Sum of all cube roots of 64 is :

-64

19 / 25

The point of intersection of altitudes of a triangle is:

orthocenter

e-center

centriod

circumcenter

20 / 25

3600^th part of 𝟏° is equal to

1’

3600’’

1’’

60’’

21 / 25

If 1/5,1/8 are the two harmonic means between 1/2 amd b , then b equal to:

1/11

1/3

1/13

1/15

22 / 25

The vertical lines of numbers in a matrix are called:

Columns

Column matrix

Rows

Row matrix

23 / 25

If P(x) = x – a, then at P(a) = ___?

-a

24 / 25

The additive identity in set of complex number is ___.

(1,1)

(1,0)

(0,1)

(0,0)

25 / 25

If a is any non-zero real number , then multiplicative inverse is ____.

1/a

-1/a

-a

not defined

Your score is

The average score is 37%

Frequently Asked MCQs of Mathematics

Algebra

Factorize: x² – 7x + 12
- a) (x-3)(x-4)
- b) (x+3)(x+4)
- c) (x+3)(x-4)
- d) (x-3)(x+4)
- Answer: a)
Solve the quadratic equation: 2x² – 5x – 3 = 0
- a) x = 3, -1/2
- b) x = -3, 1/2
- c) x = 3, 1/2
- d) x = -3, -1/2
- Answer: a)
Simplify: (2x³y²)³
- a) 8x⁹y⁶
- b) 6x⁹y⁶
- c) 8x⁶y⁵
- d) 6x⁶y⁵
- Answer: a)
Solve the system of equations: 2x + y = 7 x – 2y = -4
- a) x = 2, y = 3
- b) x = 3, y = 2
- c) x = -2, y = -3
- d) x = -3, y = -2
- Answer: a)

Trigonometry

If sinθ = 3/5, find cosθ.
- a) 4/5
- b) -4/5
- c) 5/4
- d) -5/4
- Answer: a)
Find the value of sin 60° cos 30° – cos 60° sin 30°.
- a) 1/2
- b) √3/2
- c) 0
- d) 1
- Answer: c)
In a right-angled triangle, if sinθ = 3/5, find tanθ.
- a) 3/4
- b) 4/3
- c) 5/3
- d) 5/4
- Answer: a)

Geometry: MCQs of Mathematics

The area of a circle with radius 7 cm is:
- a) 14π cm²
- b) 49π cm²
- c) 28π cm²
- d) 35π cm²
- Answer: b)
The volume of a sphere with radius 5 cm is:
- a) 100π/3 cm³
- b) 500π/3 cm³
- c) 125π cm³
- d) 250π cm³
- Answer: b)
The surface area of a cube with side length 4 cm is:

a) 64 cm²
b) 96 cm²
c) 128 cm²
d) 192 cm²
Answer: b)

Coordinate Geometry: MCQs of Mathematics

Find the distance between the points (2, 3) and (5, 7).

a) 5 units
b) 4 units
c) 3 units
d) 2 units
Answer: a)

Find the midpoint of the line segment joining the points (3, 4) and (7, 8).

a) (2, 2)
b) (5, 6)
c) (4, 5)
d) (6, 7)
Answer: b)

Logarithms and Exponents: MCQs of Mathematics

Simplify: log₁₀ 100

a) 1
b) 2
c) 10
d) 100
Answer: b)

Solve for x: 2ˣ = 16

a) 2
b) 3
c) 4
d) 5
Answer: c)

Sequences and Series

Find the 10th term of the arithmetic sequence 2, 5, 8, …

a) 29
b) 30
c) 31
d) 32
Answer: a)

Find the sum of the first 5 terms of the geometric sequence 2, 4, 8, …

a) 30
b) 31
c) 32
d) 62
Answer: d)

Probability and Statistics: MCQs of Mathematics

A bag contains 5 red balls and 3 green balls. What is the probability of drawing a red ball?

a) 5/8
b) 3/8
c) 2/5
d) 3/5
Answer: a)

The mean of the numbers 10, 12, 14, 16, and 18 is:

a) 12
b) 13
c) 14
d) 15
Answer: b)

Mensuration: MCQs of Mathematics

The volume of a cuboid with length 5 cm, breadth 4 cm, and height 3 cm is:

a) 60 cm³
b) 12 cm³
c) 20 cm³
d) 30 cm³
Answer: a)

The total surface area of a cube with side length 6 cm is:

a) 144 cm²
b) 216 cm²
c) 36 cm²
d) 72 cm²
Answer: b)

Past MCQs of Mathematics for Pak Armed Forces

Solve the equation: x² – 5x + 6 = 0

a) x = 2, 3
b) x = -2, -3
c) x = -2, 3
d) x = 2, -3
Answer: a)

Simplify: (x³y²z)⁴

a) x¹²y⁸z⁴
b) 4x³y²z
c) 12x³y²z
d) 4x¹²y⁸z⁴
Answer: a)

Solve the system of equations: 3x + 2y = 11 x – 3y = -1

a) x = 2, y = 3
b) x = 3, y = 2
c) x = 1, y = 2
d) x = 2, y = 1
Answer: c)

Trigonometry: MCQs of Mathematics

If tanθ = 3/4, find sinθ.

a) 3/5
b) 4/5
c) 5/3
d) 5/4
Answer: a)

Find the value of sin²θ + cos²θ.

a) 0
b) 1
c) 2
d) -1
Answer: b)

In a right-angled triangle, if cosθ = 5/13, find secθ.

a) 13/5
b) 5/13
c) 12/13
d) 13/12
Answer: a)

Geometry: MCQs of Mathematics

The circumference of a circle with radius 10 cm is:

a) 10π cm
b) 20π cm
c) 30π cm
d) 40π cm
Answer: b)

The volume of a cone with radius 3 cm and height 8 cm is:

a) 24π cm³
b) 36π cm³
c) 72π cm³
d) 108π cm³
Answer: a)

The surface area of a sphere with radius 5 cm is:

a) 100π cm²
b) 200π cm²
c) 100π/3 cm²
d) 200π/3 cm²
Answer: a)

Coordinate Geometry

Find the slope of the line joining the points (2, 5) and (6, 9).

a) 1
b) 2
c) 3
d) 4
Answer: b)

Find the midpoint of the line segment joining the points (-2, 3) and (4, 7).

a) (1, 2)
b) (2, 1)
c) (1, 5)
d) (5, 1)
Answer: a)

Logarithms and Exponents

Simplify: log₁₀ 1000

a) 1
b) 2
c) 3
d) 10
Answer: c)

Solve for x: 3ˣ = 81

a) 2
b) 3
c) 4
d) 5
Answer: c)

Sequences and Series

Find the 12th term of the arithmetic sequence 3, 7, 11, …

a) 43
b) 45
c) 47
d) 49
Answer: c)

Find the sum of the first 10 terms of the geometric sequence 2, 4, 8, …

a) 1022
b) 1023
c) 1024
d) 2046
Answer: d)

Probability and Statistics

A bag contains 4 red balls and 6 blue balls. What is the probability of drawing a blue ball?

a) 2/5
b) 3/5
c) 2/3
d) 1/3
Answer: b)

The mean of the numbers 15, 18, 21, 24, and 27 is:

a) 18
b) 19
c) 20
d) 21
Answer: c)

Mensuration

The area of a parallelogram with base 10 cm and height 6 cm is:

a) 30 cm²
b) 60 cm²
c) 120 cm²
d) 180 cm²
Answer: b)

The volume of a right circular cylinder with radius 7 cm and height 10 cm is:

a) 140π cm³
b) 490π cm³
c) 350π cm³
d) 245π cm³
Answer: b)

The total surface area of a right circular cone with radius 5 cm and slant height 13 cm is:

a) 90π cm²
b) 120π cm²
c) 150π cm²
d) 180π cm²
Answer: c)

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