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

Truth set of p↔q is

P ∪ Q

P′ ∪ Q′

P′ ∩ Q′

P = Q

3 / 50

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

m n

m × n

n × m

m + n

4 / 50

Any matrix of order m × 1 is called

row matrix

Square matrix

Rectangular matrix

column matrix

5 / 50

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

Ordered pair

Binary relation

Function

None of these

6 / 50

The vertical lines of numbers in a matrix are called.

columns

Rows

column matrix

Row matrix

7 / 50

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

Determinant of A

Transpose of A

Additive Inverse of A

Multiplicative Inverse of A

8 / 50

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

Square matrix

Rectangular matrix

row matrix

column matrix

9 / 50

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

coincident

parallel

concurrent

congruent

10 / 50

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

Rectangular matrix

column matrix

row matrix

Square matrix

11 / 50

Truth set of a tautology is

Universal set

True

False

ϕ

12 / 50

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

I

III

IV

II

13 / 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.

rhombus

kite

trapezoid

parallelogram

14 / 50

Every subset of Cartesian product A×B is called

Range

Relation

Domain

Function

15 / 50

y = x is the straight line.

bisecting the 2nd and 4th quadrants

bisecting the 1st and 3rd quadrants

parallel to x-axis

parallel to y-axis

16 / 50

A function f: A→B is (1−1) if

Domain ⊂ A

Range ⊂ B

Domain = Range

Range is not repeated

17 / 50

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

perpendicular

neither

parallel

non coplanar

18 / 50

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

Rectangular matrix

Square matrix

row matrix

column matrix

19 / 50

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

Q−P

P∩Q

P−Q

P∪Q

20 / 50

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

none of these

1 : 2

1 : 1

2 : 1

21 / 50

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

row matrix

column matrix

Square matrix

Rectangular matrix

22 / 50

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

P′

U

None

ϕ

23 / 50

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

above

below

on

none of these

24 / 50

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

Transpose of A

Multiplicative Inverse of A

Additive Inverse of A

Determinant of A

25 / 50

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

centroid

centre

orthocentre

circumcentre

26 / 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

27 / 50

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

P ∩ Q′

P = Q

P′ ∩ Q

P′ ∪ Q

28 / 50

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

None of These

8

6

16

29 / 50

The element aᵢⱼ of any matrix A is present in

ith row and jth column

(i + j)th row and column

ith column and jth row

(i − j)th row and column

30 / 50

Any matrix A is called real if all aᵢⱼ are

0

Imaginary numbers

1

real numbers

31 / 50

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

0°

π

45°

135°

32 / 50

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

perpendicular bisector

median

normal

altitude

33 / 50

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

6

2

4

3

34 / 50

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

circumcentre

centre

orthocentre

centroid

35 / 50

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

α = 90° only

α = 0° or α = 180°

0° < α < 180°

α > 180°

36 / 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)

37 / 50

Any matrix of order 1 × n is called

Rectangular matrix

row matrix

Square matrix

column matrix

38 / 50

Truth set of a contradiction is

False

True

Universal set

ϕ

39 / 50

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

intersecting lines

family of lines

two lines

one line

40 / 50

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

ordinate of x, y

abscissa of x, y

mid-point of x, y

graph of (x, y)

41 / 50

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

normal

perpendicular bisector

altitude

median

42 / 50

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

column

determinant

Row

matrix

43 / 50

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

II

III

IV

I

44 / 50

The horizontal lines of numbers in a matrix are called.

column

Row matrix

Rows

column matrix

45 / 50

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

Range ⊆ B

Range = B and Range is not repeated

Domain = A

Domain = Range

46 / 50

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

I & II

I & IV

II & IV

I & III

47 / 50

If f: A→B is an into function

Range ⊂ B

Range = B

Domain ≠ A

Range is not repeated

48 / 50

A function f: A→B is onto if

Range = B

Domain ⊂ A

Range ⊂ B

Domain ∼ Range

49 / 50

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

k²∣A∣

∣k∣∣A∣

k³∣A∣

∣k∣²∣A∣

50 / 50

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

incentre

centroid

circumcentre

orthocentre

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ALL FORCES Inter Base – Math Quiz 05

⚔️ ALL FORCES Inter Base – Math Quiz ⚔️

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