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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

n³m-nm³=_____.

nm(n +m)(n-m)

(n²-m²)(n-m)

(n²+m²)(n-m)

nm(n-m)²

2 / 25

The number of terms in the binomial expansion (a+x)⁶ is:

3 / 25

If one angle is greater than 90° and less than 180° then that angle is called ____ angle.

Obtuse

Acute

Right

Complimentary

4 / 25

Point of concurrency of medians of a triangle is called:

in-center

centroid

ex-center

orthocentre

5 / 25

If a:b::c:d then ad=_____.

6 / 25

The x intercept of the line 2x+3y-1=0 is:

1/2

7 / 25

If the sum of two consecutive numbers is 16 then the numbers are _____.

6,10

8,9

7,9

1,5

8 / 25

If A is any square matrix then 𝑨 + (𝑨) is a

skew symmetric

skew hermitian

hermitian

Symmetric

9 / 25

If every member of set A is present in set B then set A is called ____ set of B.

Infinite

Finite

Sub

Improper

10 / 25

The set of odd numbers between 1 and 9 are

{1,3,5,7,9}

{3,5,7,9}

{3,5,7}

{1,3,5,7}

11 / 25

In right angle triangle Sinθ=____.

Per/Hyp

Hyp/Per

Per

Base/Per

12 / 25

If AB = 1 then B is called the ______________ inverse of A :-

Multiplicative

Additive

Both a b

13 / 25

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

-4

14 / 25

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

even function

periodic function

linear function

odd function

15 / 25

If 𝒙 = −𝟐 is the root of 𝒌𝒙^𝟒 − 𝟏𝟑𝒙^𝟐 + 𝟑𝟔 = 𝟎, then 𝒌

-2

-1

16 / 25

3x²+5 is _____ order polynomial.

None

1st

3rd

2nd

17 / 25

Log8x=2/3 then find the value of x___.

18 / 25

What is the characteristics of log 8463____.

-3

19 / 25

If S is simple space and E is an event , then P(E) =_____.

0<P(E)<1

-1<P(E)<1

-1≤P(E)≤1

0≤P(E)≤1

20 / 25

If p(x)= x³-8x²+7 then find the value of P(2)____.

-17

21 / 25

The point of concurrency of the medians of a triangle is called :_____.

e centre

circumcenter

in centre

centriod

22 / 25

The set which have finite members is called____ set.

Infinite

Improper

Finite

Proper

23 / 25

A = {1, 2, 3, 4, 5, ……..} is a set of ______ numbers.

Odd

Prime

Natural

Even

24 / 25

Equation of the line bisecting 2nd and 4th quadrant is:

y=mx

y=x

y=-x

y=x/2

25 / 25

Possible ways to write the names of a triangle with vertices A,B and C are:

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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