ALL FORCES Inter Base – Math Quiz 05

⚔️ 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

Every subset of Cartesian product A×B is called

Function
Relation
Range
Domain

2 / 50

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

m n
n × m
m × n
m + n

3 / 50

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

P∪Q
Q−P
P−Q
P∩Q

4 / 50

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

circumcentre
centre
orthocentre
centroid

5 / 50

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

column matrix
Rectangular matrix
Square matrix
row matrix

6 / 50

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

graph of (x, y)
mid-point of x, y
ordinate of x, y
abscissa of x, y

7 / 50

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

neither
parallel
perpendicular
non coplanar

8 / 50

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

α = 0° or α = 180°
α = 90° only
0° < α < 180°
α > 180°

9 / 50

A function f: A→B is (1−1) if

Domain ⊂ A
Range is not repeated
Domain = Range
Range ⊂ B

10 / 50

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

16
None of These
6
8

11 / 50

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

Rectangular matrix
column matrix
row matrix
Square matrix

12 / 50

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

2 : 1
1 : 2
1 : 1
none of these

13 / 50

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

P−Q
P∩Q
P∪Q
Q−P

14 / 50

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

II
III
IV
I

15 / 50

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

altitude
perpendicular bisector
normal
median

16 / 50

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

None of these
Ordered pair
Function
Binary relation

17 / 50

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

I & III
I & IV
II & IV
I & II

18 / 50

The element aᵢⱼ of any matrix A is present in

(i − j)th row and column
ith column and jth row
(i + j)th row and column
ith row and jth column

19 / 50

Truth set of p↔q is

P′ ∪ Q′
P′ ∩ Q′
P ∪ Q
P = Q

20 / 50

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

Rectangular matrix
column matrix
Square matrix
row matrix

21 / 50

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

below
none of these
on
above

22 / 50

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

ax + by + c = 0
ax + by² + c = 0
ax² + by + c = 0
ax² + by² + c = 0

23 / 50

Truth set of a tautology is

ϕ
False
True
Universal set

24 / 50

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

P′ ∩ Q
P ∩ Q′
P = Q
P′ ∪ Q

25 / 50

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

∣k∣∣A∣
k³∣A∣
k²∣A∣
∣k∣²∣A∣

26 / 50

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

column matrix
Square matrix
row matrix
Rectangular matrix

27 / 50

Any matrix of order 1 × n is called

column matrix
Square matrix
Rectangular matrix
row matrix

28 / 50

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

concurrent
coincident
parallel
congruent

29 / 50

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

0°
135°
45°
π

30 / 50

Any matrix of order m × 1 is called

column matrix
Square matrix
Rectangular matrix
row matrix

31 / 50

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

centroid
orthocentre
centre
circumcentre

32 / 50

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

Range ⊆ B
Domain = A
Range = B and Range is not repeated
Domain = Range

33 / 50

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

centroid
orthocentre
incentre
circumcentre

34 / 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)

35 / 50

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

U
ϕ
P′
None

36 / 50

Truth set of a contradiction is

False
Universal set
True
ϕ

37 / 50

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

family of lines
one line
intersecting lines
two lines

38 / 50

The horizontal lines of numbers in a matrix are called.

column matrix
column
Row matrix
Rows

39 / 50

If f: A→B is an into function

Range is not repeated
Range ⊂ B
Range = B
Domain ≠ A

40 / 50

A function f: A→B is onto if

Domain ⊂ A
Range ⊂ B
Range = B
Domain ∼ Range

41 / 50

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

3
6
4
2

42 / 50

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

Multiplicative Inverse of A
Transpose of A
Additive Inverse of A
Determinant of A

43 / 50

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

Determinant of A
Multiplicative Inverse of A
Transpose of A
Additive Inverse of A

44 / 50

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

I
II
IV
III

45 / 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
parallelogram
trapezoid

46 / 50

The vertical lines of numbers in a matrix are called.

Rows
column matrix
columns
Row matrix

47 / 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

48 / 50

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

matrix
determinant
column
Row

49 / 50

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

altitude
perpendicular bisector
normal
median

50 / 50

Any matrix A is called real if all aᵢⱼ are

1
Imaginary numbers
0
real numbers

Your score is
0%

ALL FORCES Inter Base – Math Quiz 05

⚔️ ALL FORCES Inter Base – Math Quiz ⚔️

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