All Forces Interbase Math Quiz| Pro Genius Forces Academy

⚔️ ALL FORCES Inter Base – Math Quiz ⚔️

This Inter Base Mathematics quiz is specially designed for candidates preparing to join the Pakistan Army, Pakistan Air Force, Pakistan Navy, and AFNS. It builds strong math concepts, including integration, derivatives, and matrices, and prepares students for all forces’ entry tests as well as academic exams.

🎯 What This Quiz Will Prepare You For
• Clear concepts of Algebra, Geometry, Integration, Derivatives, and Matrixs
• Faster MCQ-solving skills
• Confidence for all forces’ entry tests

⏱️ Quiz Format & Duration
• Total MCQs: 50
• Time Limit: 18 minutes
• Question Type: Multiple Choice Questions
• Passing Marks: 50%

🚀 Sharpen Your Mind – Train Like a Future Cadet!
💪 Stay focused, stay sharp — your mission to wear the uniform of Pakistan’s Armed Forces starts now!

Forces Inter base Math Quiz 05

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1 / 50

The point where the angle bisectors of a triangle intersect is called ______ of the triangle.

orthocentre

centroid

circumcentre

incentre

2 / 50

The point P in a plane that corresponds to the ordered pair (x, y) is called

ordinate of x, y

graph of (x, y)

abscissa of x, y

mid-point of x, y

3 / 50

If all the sides of a four-sided polygon are equal but the four angles are not equal to 90° each then it is a.

parallelogram

kite

rhombus

trapezoid

4 / 50

The point where the altitudes of a triangle intersect is called ______ of the triangle.

orthocentre

centre

circumcentre

centroid

5 / 50

Any matrix A is called real if all aᵢⱼ are

1

Imaginary numbers

real numbers

0

6 / 50

Logical form of A∪(B∩C) = (A∪B)∩(A∪C) is

p∨(q∧r) = (p∨q) ∧ (p∨r)

p∨(q∧r) = (p∨q) ∧ (p∨r)

p∨(q∨r) = (p∨q) ∨ (p∨r)

p∨(q∧r) = (p∨q) ∧ (p∧r)

7 / 50

The point (−2,4) lies ______ the line 2x + 5y − 3 = 0

on

above

below

none of these

8 / 50

If a matrix A has m rows and n columns, then order of A is

n × m

m n

m + n

m × n

9 / 50

2x + y + k = 0 (k being a parameter) represents

family of lines

one line

intersecting lines

two lines

10 / 50

The vertical lines of numbers in a matrix are called.

Row matrix

columns

Rows

column matrix

11 / 50

Truth set of a contradiction is

True

False

Universal set

ϕ

12 / 50

If p is a proposition, then truth set of ∼p is

None

U

ϕ

P′

13 / 50

Every subset of Cartesian product A×B is called

Relation

Range

Function

Domain

14 / 50

If α is the inclination of a line l, then which of the following is true?

α > 180°

α = 90° only

α = 0° or α = 180°

0° < α < 180°

15 / 50

If a matrix A has same numbers of rows and columns, then A is called

Rectangular matrix

Square matrix

row matrix

column matrix

16 / 50

If p and q be two propositions, then truth set of p→q is

P = Q

P′ ∩ Q

P′ ∪ Q

P ∩ Q′

17 / 50

A line bisecting the 2nd and 4th quadrants has inclination.

135°

45°

π

0°

18 / 50

A function f: A→B is onto if

Range = B

Domain ⊂ A

Range ⊂ B

Domain ∼ Range

19 / 50

If A is any square matrix and AB = BA = I, then B is called

Multiplicative Inverse of A

Additive Inverse of A

Transpose of A

Determinant of A

20 / 50

A function f: A→B is (1−1) if

Domain ⊂ A

Domain = Range

Range ⊂ B

Range is not repeated

21 / 50

A rectangular array of numbers enclosed by a pair of brackets is called a.

matrix

determinant

Row

column

22 / 50

If x and y have opposite signs then the point P(x, y) lies in quadrants.

II & IV

I & III

I & IV

I & II

23 / 50

The centroid of a triangle divides each median in the ratio of.

1 : 2

1 : 1

none of these

2 : 1

24 / 50

The straight line which passes through one vertex and through the mid-point of the opposite side is called.

median

normal

altitude

perpendicular bisector

25 / 50

If any matrix A has different numbers of rows and columns, then A is

Square matrix

Rectangular matrix

column matrix

row matrix

26 / 50

If p and q are two propositions, then truth set of p∨q is

P∩Q

P−Q

Q−P

P∪Q

27 / 50

The General Equation of the straight line in two variables x and y is.

ax + by² + c = 0

ax² + by + c = 0

ax + by + c = 0

ax² + by² + c = 0

28 / 50

The horizontal lines of numbers in a matrix are called.

column matrix

Row matrix

Rows

column

29 / 50

Truth set of a tautology is

True

ϕ

False

Universal set

30 / 50

If any matrix A has only one column, then it is called

Rectangular matrix

Square matrix

row matrix

column matrix

31 / 50

If $x < 0, y > 0$ then the point P(-x, -y) lies in the quadrant

IV

II

III

I

32 / 50

The x-intercept of 4x + 6y = 12 is

2

4

3

6

33 / 50

If $x < 0, y < 0$ then the point P(x, y) lies in the quadrant

III

I

II

IV

34 / 50

The element aᵢⱼ of any matrix A is present in

ith column and jth row

ith row and jth column

(i + j)th row and column

(i − j)th row and column

35 / 50

If f: A→B is an into function

Domain ≠ A

Range = B

Range is not repeated

Range ⊂ B

36 / 50

If set A has 2 elements and B has 4 elements, then number of elements in A×B is

6

None of These

8

16

37 / 50

If A is any square matrix of order 3, then ∣kA∣ is equal to

k³∣A∣

k²∣A∣

∣k∣∣A∣

∣k∣²∣A∣

38 / 50

If any matrix A has only one row, then it is called

Rectangular matrix

row matrix

Square matrix

column matrix

39 / 50

Any matrix of order 1 × n is called

Square matrix

column matrix

row matrix

Rectangular matrix

40 / 50

The point where the medians of a triangle intersect is called ______ of the triangle.

circumcentre

centre

centroid

orthocentre

41 / 50

The straight line which passes through one vertex and perpendicular to the opposite side is called.

perpendicular bisector

median

altitude

normal

42 / 50

Any matrix of order m × 1 is called

column matrix

Square matrix

row matrix

Rectangular matrix

43 / 50

y = x is the straight line.

bisecting the 1st and 3rd quadrants

bisecting the 2nd and 4th quadrants

parallel to x-axis

parallel to y-axis

44 / 50

A function f: A→B is (1−1) and onto if

Domain = Range

Domain = A

Range = B and Range is not repeated

Range ⊆ B

45 / 50

If A + B = B + A = O, then B is called

Multiplicative Inverse of A

Determinant of A

Transpose of A

Additive Inverse of A

46 / 50

Truth set of p↔q is

P′ ∩ Q′

P′ ∪ Q′

P = Q

P ∪ Q

47 / 50

If p and q are two propositions then truth set of p∧q is

Q−P

P−Q

P∩Q

P∪Q

48 / 50

If three lines pass through one common point then the lines are called.

concurrent

parallel

congruent

coincident

49 / 50

The empty set {} being the subset of A×B is

None of these

Ordered pair

Function

Binary relation

50 / 50

The lines 2x + y + 2 = 0 and 6x + 3y − 8 = 0 are

perpendicular

non coplanar

neither

parallel

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ALL FORCES Inter Base – Math Quiz 05

⚔️ ALL FORCES Inter Base – Math Quiz ⚔️

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