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

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

P−Q

Q−P

P∪Q

P∩Q

2 / 50

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

1 : 2

2 : 1

1 : 1

none of these

3 / 50

Truth set of a tautology is

ϕ

True

False

Universal set

4 / 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)

5 / 50

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

Square matrix

column matrix

Rectangular matrix

row matrix

6 / 50

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

3

2

4

6

7 / 50

The horizontal lines of numbers in a matrix are called.

Rows

column

Row matrix

column matrix

8 / 50

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

45°

135°

0°

π

9 / 50

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

below

above

none of these

on

10 / 50

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

IV

III

II

I

11 / 50

Any matrix of order 1 × n is called

row matrix

Rectangular matrix

column matrix

Square matrix

12 / 50

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

P∪Q

P∩Q

Q−P

P−Q

13 / 50

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

Square matrix

column matrix

Rectangular matrix

row matrix

14 / 50

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

ax² + by² + c = 0

ax + by² + c = 0

ax² + by + c = 0

ax + by + c = 0

15 / 50

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

II

IV

III

I

16 / 50

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

centroid

orthocentre

circumcentre

centre

17 / 50

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

Square matrix

row matrix

Rectangular matrix

column matrix

18 / 50

Every subset of Cartesian product A×B is called

Range

Function

Domain

Relation

19 / 50

If f: A→B is an into function

Domain ≠ A

Range ⊂ B

Range = B

Range is not repeated

20 / 50

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

Domain = Range

Range ⊆ B

Range = B and Range is not repeated

Domain = A

21 / 50

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

centre

centroid

circumcentre

orthocentre

22 / 50

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

U

ϕ

None

P′

23 / 50

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

∣k∣²∣A∣

k³∣A∣

∣k∣∣A∣

k²∣A∣

24 / 50

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

one line

two lines

family of lines

intersecting lines

25 / 50

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

0° < α < 180°

α = 0° or α = 180°

α = 90° only

α > 180°

26 / 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

rhombus

kite

trapezoid

27 / 50

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

non coplanar

neither

perpendicular

parallel

28 / 50

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

Additive Inverse of A

Multiplicative Inverse of A

Transpose of A

Determinant of A

29 / 50

The element aᵢⱼ of any matrix A is present in

ith row and jth column

(i + j)th row and column

(i − j)th row and column

ith column and jth row

30 / 50

Any matrix A is called real if all aᵢⱼ are

1

0

Imaginary numbers

real numbers

31 / 50

A function f: A→B is onto if

Range ⊂ B

Domain ∼ Range

Domain ⊂ A

Range = B

32 / 50

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

Ordered pair

Binary relation

Function

None of these

33 / 50

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

m n

m × n

m + n

n × m

34 / 50

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

incentre

circumcentre

centroid

orthocentre

35 / 50

A function f: A→B is (1−1) if

Domain = Range

Domain ⊂ A

Range ⊂ B

Range is not repeated

36 / 50

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

Row

column

determinant

matrix

37 / 50

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

P′ ∩ Q

P′ ∪ Q

P ∩ Q′

P = Q

38 / 50

The vertical lines of numbers in a matrix are called.

Rows

columns

column matrix

Row matrix

39 / 50

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

concurrent

coincident

congruent

parallel

40 / 50

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

Transpose of A

Determinant of A

Multiplicative Inverse of A

Additive Inverse of A

41 / 50

Truth set of p↔q is

P = Q

P′ ∩ Q′

P′ ∪ Q′

P ∪ Q

42 / 50

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

None of These

16

6

8

43 / 50

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

perpendicular bisector

normal

altitude

median

44 / 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

45 / 50

Truth set of a contradiction is

False

ϕ

Universal set

True

46 / 50

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

Square matrix

row matrix

column matrix

Rectangular matrix

47 / 50

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

mid-point of x, y

abscissa of x, y

ordinate of x, y

graph of (x, y)

48 / 50

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

I & III

II & IV

I & II

I & IV

49 / 50

Any matrix of order m × 1 is called

row matrix

Square matrix

Rectangular matrix

column matrix

50 / 50

y = x is the straight line.

bisecting the 2nd and 4th quadrants

bisecting the 1st and 3rd quadrants

parallel to y-axis

parallel to x-axis

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ALL FORCES Inter Base – Math Quiz 05

⚔️ ALL FORCES Inter Base – Math Quiz ⚔️

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