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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

An angle above the horizontal line is called an angle of :

elevation

allied

quadrantal

disperssion

2 / 25

The numbers which can be written in the form of ^𝒑_𝒒 , 𝒑, 𝒒 ∈ 𝒁 , 𝒒 ≠ 𝟎 are :

Irrational number

Whole number

Rational number

Complex number

3 / 25

5x² + 5 is a polynomial of ______ degree.

Four

One

Two

Three

4 / 25

(0,1)³ is equal to:

-3

-1

5 / 25

Formula of circum-radius is:

abc/4Δ

4Δ/abc

Δ/s

s/Δ

6 / 25

Sample space for tossing a coin is:

{𝐻}

{𝐻, 𝑇}

{𝐻, 𝐻}

{𝑇}

7 / 25

If A is any square matrix then 𝑨 − 𝑨^𝒕 is a

skew hermitian

Symmetric

skew symmetric

hermitian

8 / 25

Imaginary part of ι/1+ι is :

-i/2

1/2

i/2

9 / 25

Angle between the hands of a watch at 6 o clock is :

180

10 / 25

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

any odd integer

any positive integer

any real number

Any integer

11 / 25

Equation of the line in the form of xcosα + ysinα = p is:

slope intercept form

symmetric form

normal form

intercept form

12 / 25

Sum of sub-sets is called ______ set.

Into

Neutral

Power

Onto

13 / 25

Radius of the earth is:

8400 km

600 km

6800km

6400 km

14 / 25

A vertical line divides a plane into ____half planes.

upper and lower

upper and right

left and lower

left and right

15 / 25

Point (-2,-3) lies on___.

In 3rd quadrant

On y-axis

On x-axis

4th quadrant

16 / 25

The imaginary part of the complex number (𝒃 , 𝒂) is _________

𝑖𝑎

𝑎

𝑏

None of these

17 / 25

Equation of vertical line through [5,-3] is:

x=5

x=-3

y=-3

y=5

18 / 25

A fraction

⁽₍^𝒙_𝒙⁾₎, 𝑸(𝒙) ≠ 𝟎 is called proper fraction if :

Degree of (𝑥) = Degree of (𝑥)

Degree of (𝑥) > Degree of (𝑥)

Degree of (𝑥) < Degree of (𝑥)

Degree of (𝑥) ≥ Degree of (𝑥)

19 / 25

Which can be reduced to Pythagoras theorem,

law of tangents

Half angle

law of cosine

Law of sine

20 / 25

Number of elements of the triangle are:

21 / 25

One rotation in anti-clock wise direction is equal to:

90°

360°

180°

270°

22 / 25

The domain of f = {(a,1),(b,1),(c,1)} is:

{1}

{b,c}

{a,b,c}

{a}

23 / 25

The distance of the point (1,1) from origin is:

√2

24 / 25

Objective function of a L.P.P.is

a function to be optimised

a constant

a relation between the variables

none of these

25 / 25

8x³ + 27y³=___.

(2x-3y)(4x²-9y²)

2x-3y)(4x²+6xy+9y²)

(2x+3y)(4x²+9y²)

(2x-3y)(4x²-6xy+9y²)

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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