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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

If n is prime ,then √n is:

rational number

irrational number

natural number

whole number

2 / 25

A square matrix 𝑨 = [𝒂_𝒊𝒋] for which 𝒂_𝒊𝒋 = 𝟎,𝒊 > 𝑗 then A is called:

Hermitian

Upper triangular

Symmetric

Lower triangular

3 / 25

ⁿP_r=_______.

r!n Cr

n-1 P r

n+1 P r

r!nP r

4 / 25

The product of two conjugate complex number is ___.

not defined

may be an irrational numbar

a real number

an imaginary number

5 / 25

Area of triangle ABC is equal to :

1/2 ac sinγ

1/2 absinβ

none

1/2bc sinα

6 / 25

The solution set x²-5x is ____.

(5,0)

(0,5)

(6,0)

(0,6)

7 / 25

If a matrix A has only one column then it is called:

Rectangle matrix

Row vector

square matrix

Column vector

8 / 25

The point divides the line segment in the ratio:

2:1

1:2

2:3

1:1

9 / 25

The solution set of |x|-2=0 is ____.

{2,0}

{-2,-2}

{-2,2}

{2,2}

10 / 25

𝒏 − 𝟏_𝑪𝒓 + 𝒏 − 𝟏_𝑪𝒓₋_𝟏equals

𝑛𝐶𝑟−1

𝑛𝐶𝑟

𝑛 − 1𝐶𝑟

𝑛 + 1𝐶𝑟

11 / 25

Every recurring decimal is

a prime number

a rational number

an irrational number

a whole number

12 / 25

Cosec θ = ____?

1/ Sec θ

1/ Cosec θ

1/ Cot θ

1/ Sin θ

13 / 25

When x=y then solution set of x+y=6 is ___.

(3,0)

(3,3)

None

(6,0)

14 / 25

Which of the following is an odd function?

sinhx

sin^2x

cosx

coshx

15 / 25

To solve an oblique triangle we use:

Law of Sine

All of these

Law of Cosine

Law of Tangents

16 / 25

Cos (90°- 0) =_____.

Tanθ

Sinθ

Cos θ

Cotθ

17 / 25

For the series 𝟏 + 𝟓 + 𝟐𝟓 + 𝟏𝟐𝟓 + ⋯ + ∞ , the sum is

−4

-4

not defined

18 / 25

The quadratic formula for solving the equation 𝒂𝒙^𝟐 + 𝒃𝒙 + 𝒄 = 𝟎; 𝒂 ≠ 𝟎 is

𝑥 = 2

None of these

𝑥 = 2𝑏

𝑥 = 2𝑎

19 / 25

The set which have finite members is called____ set.

Finite

Infinite

Proper

Improper

20 / 25

If f(-x)=-f(x) then f is called__.

odd function

even function

linear function

periodic function

21 / 25

In a triangle ABC ,with visual notations b²+c²-2 bc cosα=______.

a^2

22 / 25

If x=√(2)-1 then x²=___.

1/√2-1

√2+1

3-2√2

23 / 25

The additive inverse of matrix A is:

A^2

adj(A)/ ‎| A ‎|

-A

24 / 25

The LCM of (A-B)³ and (A-B)² is ____.

A²+B²

A-B

(A-B)³

A+B

25 / 25

In anti-clock wise direction 1/4 rotation is equal to :

270

π/2

π/4

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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