Mathematics Practice Tests 5 - PLS Academy

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Created by Ali Durrani

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Math Practice Test 5

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1 / 100

Category: Math Ch 6 Class 12

For any parabola in the standard form , if the directrix is ? = ? , then its equation is

?2 = 4??

?2 = −4??

?2 = 4??

2 = −4?y

2 / 100

Category: Math Ch 7

3 / 100

Category: Math Ch 4 Class 12

In the normal form, ????? + ????? = ? the value of ? is

Positive

Negative

positive or negative

Zero

4 / 100

Category: Math Ch 4

The complex fourth roots of unity are ……. of each other.

Additive inverse

equal to

square of

None of these

5 / 100

Category: Math Ch 2 Class 12

6 / 100

Category: Math Ch 14

General solution of every trigonometric equation consists of :

One solution only

two solutions

infinitely many solutions

no real solution

7 / 100

Category: Math Ch 6

An arrangement of numbers according to some definite rule is called:

Sequence

Combination

Series

Permutation

8 / 100

Category: Math Ch 4

If sum of all cube roots of unity is equal to ?^? + ? , then ? is equal to:

−1

±?

9 / 100

Category: Math

Inverse of a line is :

A line

a parabola

a point

not defined

10 / 100

Category: Math Ch 5

A mixed form of fraction is :

An integer+ improper fraction

a polynomial+improper fraction

a polynomial+proper fraction

a polynomial+rational fraction

11 / 100

Category: Math Ch 6

If sum of series is defined then it is called:

Convergent series

Divergent series

finite series

Geometric series

12 / 100

Category: Math Ch 2 Class 12

13 / 100

Category: Math Ch 4

The complex cube roots of unity are………………. each other.

Multiplicative inverse

reciprocal

square

None of these

14 / 100

Category: Math Ch 1 Class 12

15 / 100

Category: Math Ch 2

Inverse of any element of a group is:

Not unique

unique

has many inverses

none of these

16 / 100

Category: Math Ch 5

An open sentence formed by using sign of “ = ” is called a/an

Equation

Formula

Rational fraction

Theorem

17 / 100

Category: Math Ch 6

A sequence is function whose domain is

18 / 100

Category: Math Ch 14

19 / 100

Category: Math Ch 5 Class 12

For feasible region:

? ≥ 0, ? ≥ 0

? ≥ 0, ? ≤ 0

? ≤ 0, ? ≥ 0

? ≤ 0, ? ≤ 0

20 / 100

Category: Math Ch 6 Class 12

The foci of hyperbola always lie on :

? − ????

?????????? ???s

? − ????

Conjugate axis

21 / 100

Category: Math Ch 12

22 / 100

Category: Math Ch 12

The circle passing through the thee vertices of a triangle is called:

Circum circle

in-circle

ex-centre

escribed circle

23 / 100

Category: Math Ch 2 Class 12

24 / 100

Category: Math Ch 7 Class 12

25 / 100

Category: Math Ch 7 Class 12

26 / 100

Category: Math Ch 2 Class 12

A stationary point is called ______ if it is either a maximum point or a minimum point

Stationary point

turning point

critical point

point of inflexion

27 / 100

Category: Math Ch 9

Straight line angle is equal to

1/2 ????????

? radian

180°

All of these

28 / 100

Category: Math Ch 5

29 / 100

Category: Math Ch 8

30 / 100

Category: Math Ch 13

31 / 100

Category: Math Ch 5 Class 12

The non-negative constraints are also called

Decision variable

Convex variable

Decision constraints

concave variable

32 / 100

Category: Math Ch 7 Class 12

33 / 100

Category: Math Ch 4 Class 12

34 / 100

Category: Math Ch 6

The last term of an infinite sequence is called :

??ℎ term

last term

does not exist

35 / 100

Category: Math Ch 7 Class 12

36 / 100

Category: Math Ch 6 Class 12

The locus of a revolving line with one end fixed and other end on the circumference of a circle
of a circle is called:

a sphere

a circle

a cone

a conic

37 / 100

Category: Math Ch 5 Class 12

The graph of the inequality ?? + ?? ≥ ? is _____ side of line ?? + ?? = ?

Origin side

non-origin side

upper

left

38 / 100

Category: Math Ch 7 Class 12

The vector whose initial point is at the origin and terminal point is ? , is called

Null vector

unit vector

position vector

normal vector

39 / 100

Category: Math Ch 6 Class 12

40 / 100

Category: Math Ch 1 Class 12

41 / 100

Category: Math Ch 3 Class 12

42 / 100

Category: Math Ch 5

43 / 100

Category: Math Ch 1 Class 12

44 / 100

Category: Math Ch 1 Class 12

45 / 100

Category: Math Ch 8

46 / 100

Category: Math Ch 3 Class 12

47 / 100

Category: Math Ch 5 Class 12

A function which is to be maximized or minimized is called______ function

Subjective

objective

qualitative

quantitative

48 / 100

Category: Math Ch 7 Class 12

49 / 100

Category: Math Ch 9

If the rotation of the angle is counter clock wise, then angle is:

Negative

Positive

Non-Negative

None of these

50 / 100

Category: Math Ch 6

The sum of infinite geometric series is valid if

|?| > 1

|?| = 1

|?| ≥ 1

|?| < 1

51 / 100

Category: Math Ch 3

A rectangular array of numbers enclosed by a square brackets is called:

Matrix

Row

Column

Determinant

52 / 100

Category: Math Ch 7 Class 12

If the cross product of two vectors is zero, then the vectors must be

Parallel

orthogonal

reciprocal

Non coplanar

53 / 100

Category: Math Ch 3 Class 12

54 / 100

Category: Math Ch 7

Probability of non-occurrence of an event E is equal to :

1 − ?(?)

?(?) + ?(? ?(?)

?(?)/ ?(?)

1 + ?(?)

55 / 100

Category: Math Ch 1 Class 12

56 / 100

Category: Math Ch 12

When we look an object above the horizontal ray, the angle formed is called angle of:

Elevation

depression

incidence

reflects

57 / 100

Category: Math Ch 12

58 / 100

Category: Math Ch 2

The set of odd numbers between 1 and 9 are

{1,3,5,7}

{3,5,7,9}

{1,3,5,7,9}

{3,5,7}

59 / 100

Category: Math Ch 5 Class 12

If ? > ? then

– ? > −?

– ? < ?

? < ?

– ? < −b

60 / 100

Category: Math Ch 3

If a matrix A has only one column then it is called:

Row vector

Column vector

square matrix

Rectangle matrix

61 / 100

Category: Math Ch 9

One rotation in anti-clock wise direction is equal to:

180°

270°

360°

90°

62 / 100

Category: Math Ch 3 Class 12

63 / 100

Category: Math Ch 6

64 / 100

Category: Math Ch 2 Class 12

65 / 100

Category: Math Ch 5 Class 12

The graph of a linear equation of the form ?? + ?? = ? is a line which divides the whole
plane into ______ disjoints parts.

Two

four

more than four

infinitely many

66 / 100

Category: Math Ch 7

Non occurrence of an event E is denoted by:

∼ ?

E^c

All of these

67 / 100

Category: Math Ch 13

68 / 100

Category: Math Ch 12

69 / 100

Category: Math Ch 12

70 / 100

Category: Math Ch 9

??°??′ equal to

16.5°

32°/2

16.05°

16.2°

71 / 100

Category: Math Ch 2

Total number of subsets that can be formed from the set {?, ?, ?} is

72 / 100

Category: Math Ch 2 Class 12

73 / 100

Category: Math Ch 4 Class 12

The point P in the plane that corresponds to the ordered pair (?, ?) is called:

????ℎ ?? (?, ?)

mid-point of ?, ?

???????? ?? ?, ?

ordinate of ?, y

74 / 100

Category: Math Ch 3 Class 12

∫ ?????? =

– ???? + ?

???? + ?

– ???? + ?

???? + c

75 / 100

Category: Math Ch 3 Class 12

76 / 100

Category: Math Ch 5

When a rational fraction is separated into partial fractions, then result is always :

A conditional equations

an identity

a partial fraction

an improper fraction

77 / 100

Category: Math Ch 6 Class 12

The chord containing the centre of the circle is

Radius of circle

Diameter of circle

Area of circle

Tangent of circle

78 / 100

Category: Math Ch 6

79 / 100

Category: Math Ch 3

. If a matrix of order ? × ? then the matrix of order ? × ? is :

Transpose of A

Inverse of A

Main diagonal of A

Adjoint of A

80 / 100

Category: Math Ch 9

??°??′ equal to

16.5°

32°/2

16.05°

16.2°

81 / 100

Category: Math

82 / 100

Category: Math Ch 7

83 / 100

Category: Math Ch 6

84 / 100

Category: Math Ch 2 Class 12

85 / 100

Category: Math Ch 3

The main diagonal elements of a skew symmetric matrix must be:

any non-zero number

any complex number

86 / 100

Category: Math Ch 1 Class 12

The term “Function” was recognized by______ to describe the dependence of one quantity
to another.

Lebnitz

Euler

Newton

Lagrange

87 / 100

Category: Math Ch 7 Class 12

. If the scalar product of three vectors is zero, then vectors are

Collinear

coplanar

non coplanar

non-collinear

88 / 100

Category: Math Ch 3 Class 12

89 / 100

Category: Math Ch 5

When a rational fraction is separated into partial fractions, then result is always :

A conditional equations

an identity

a partial fraction

an improper fraction

90 / 100

Category: Math Ch 6

91 / 100

Category: Math Ch 7 Class 12

92 / 100

Category: Math Ch 6

4. As sequence whose range is ? ?. ?., set of real numbers is called:

Real sequence

Imaginary sequence

Natural sequence

Complex sequence

93 / 100

Category: Math Ch 14

94 / 100

Category: Math Ch 3

The element ??? of any matrix A is present in:

? ?ℎ row and ? ?ℎ column

? ?ℎ column and ? ?ℎ row

(? + ?)?ℎ row and column

95 / 100

Category: Math Ch 7

A die is rolled , the probability of getting 3 or 5 is:

2/3

15/36

-15/36

1/36

96 / 100

Category: Math Ch 2

The number of all subsets of a set having three elements is:

97 / 100

Category: Math Ch 7

98 / 100

Category: Math Ch 3

Let A be a matrix and ? is an integer then ? + ? + ? + ⋯ to ? terms

? + ?

? − ?

?^?

99 / 100

Category: Math Ch 5 Class 12

100 / 100

Category: Math Ch 4

5. The equation in which variable occurs in exponent , called:

Exponential function

Quadratic equation

Reciprocal equation

Exponential equation

Your score is

The average score is 53%

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