Mathematics Practice Tests 5

Created by Ali Durrani

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Math Practice Test 5

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1 / 100

Category: Math Ch 10

a

b

c

d

2 / 100

Category: Math Ch 6 Class 12

a

b

c

d

3 / 100

Category: Math Ch 10

a

b

c

d

4 / 100

Category: Math Ch 1 Class 12

If a graph express a function , then a vertical line must cut the graph at

One point only

Two points

More than one point

No point

5 / 100

Category: Math Ch 2 Class 12

a

b

c

d

6 / 100

Category: Math Ch 9

60th part of ?° is equal to

One second

One minute

1 Radian

? radian

7 / 100

Category: Math Ch 2 Class 12

A point where 1st derivative of function is zero , is called

Stationary point

corner point

point of concurrency

common point

8 / 100

Category: Math Ch 6

The next term of the sequence ?, ?, ??, ??, … is

112

120

124

None of these

9 / 100

Category: Math Ch 1 Class 12

a

b

c

d

10 / 100

Category: Math Ch 5 Class 12

An inequality with one or two variables has ________ solutions.

One

two

three

infinitely many

11 / 100

Category: Math Ch 4

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

Multiplicative inverse

reciprocal

square

None of these

12 / 100

Category: Math Ch 7 Class 12

Which of the following can be the direction angles of some vector

45°, 45°, 60°

30°, 45°, 60°

45°, 60°, 60°

obtuse

13 / 100

Category: Math Ch 3 Class 12

a

b

c

d

14 / 100

Category: Math Ch 3 Class 12

To determine the area under the curve by the use of integration , the idea was given by

Newton

Archimedes

Leibnitz

Taylor

15 / 100

Category: Math Ch 3 Class 12

a

b

c

d

16 / 100

Category: Math Ch 7 Class 12

Two vectors are said to be negative of each other if they have the same magnitude and
__________direction.

Same

opposite

negative

parallel

17 / 100

Category: Math Ch 6 Class 12

The midpoint of the foci of the ellipse is its

Vertex

Centre

Directrix

None of these

18 / 100

Category: Math

A compound proposition which is always neither true nor false is called:

Tautology

contradiction

absurdity

contingency

19 / 100

Category: Math Ch 1

If ? is any non-zero real number, then multiplicative inverse is

– ?

1/?

-1/?

not defined

20 / 100

Category: Math Ch 2

Squaring a number is a:

Unary operation

binary operation

relation

Function

21 / 100

Category: Math Ch 4 Class 12

If the equations of the sides of a triangle are given then the intersection of any two lines in
pairs gives ________ the triangles.

Vertices

centre

mid-points of sides

centriod

22 / 100

Category: Math Ch 3

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

1

0

any non-zero number

any complex number

23 / 100

Category: Math Ch 4 Class 12

The centroid of a triangle divides each median in the ration of

2:1

1:2

1:1

None of these

24 / 100

Category: Math Ch 2 Class 12

a

b

c

d

25 / 100

Category: Math Ch 1

. If ? < ? then

? < ?

1/? < 1/?

1/? > 1/?

? − ? > 0

26 / 100

Category: Math Ch 2

In a proposition if ? → ? ???? ? → ? is called

Inverse of ? → ?

converse of ? → ?

contrapositive of ? → ?

None

27 / 100

Category: Math Ch 4 Class 12

The slope of the line ?? + ?? + ? = ? is

?/?

–?/?

?/?

–?/a

28 / 100

Category: Math

A compound proposition which is always wrong is called:

Tautology

contradiction

absurdity

contingency

29 / 100

Category: Math

The multiplicative identity of complex number is

(0,0)

(0,1)

(1,0)

(1,1)

30 / 100

Category: Math Ch 8

a

b

c

d

31 / 100

Category: Math Ch 12

a

b

c

d

32 / 100

Category: Math Ch 1

For any complex number ?, it is always true that |?| is equal to:

|?|

| − ?|

all of these

33 / 100

Category: Math Ch 7 Class 12

a

b

c

d

34 / 100

Category: Math Ch 10

a

b

c

d

35 / 100

Category: Math Ch 5

A fraction ?(?)/?(?), ?(?) ≠ ? is called proper fraction if :

Degree of ?(?) < Degree of ?(?)

Degree of ?(?) = Degree of ?(?)

Degree of ?(?) > Degree of ?(?)

Degree of ?(?) ≥ Degree of ?(?)

36 / 100

Category: Math

The additive identity in set of complex number is

(0,0)

(0,1)

(1,0)

(1,1)

37 / 100

Category: Math Ch 6

The general term of a ?. ?., is :

?? = ??^(?−1)

?? = ??^?

?? = ?.?^(?+1)

None of these

38 / 100

Category: Math Ch 1 Class 12

a

b

c

d

39 / 100

Category: Math Ch 10

a

b

c

d

40 / 100

Category: Math Ch 13

a

b

c

d

41 / 100

Category: Math Ch 6 Class 12

The circle whose radius is 1 is called:

Unit circle

point circle

circumcircle

in-circle

42 / 100

Category: Math Ch 5 Class 12

For feasible region:

? ≥ 0, ? ≥ 0

? ≥ 0, ? ≤ 0

? ≤ 0, ? ≥ 0

? ≤ 0, ? ≤ 0

43 / 100

Category: Math Ch 6 Class 12

The set of points which are equal distance from a fixed point is called:

Circle

Parabola

Ellipse

Hyperbola

44 / 100

Category: Math Ch 5

a

b

c

d

45 / 100

Category: Math Ch 7 Class 12

The angles ?, ?, ??? ? which a non-zero vector ? makes with ? − ????, ? − ???? and
? − ???? respectively are called_____________ of ?.

Direction cosines

direction ratios

direction angles

inclinations

46 / 100

Category: Math Ch 11

The graph of trigonometric functions have:

Break segments

Sharp corners

Straight line segments

smooth curves

47 / 100

Category: Math Ch 3 Class 12

a

b

c

d

48 / 100

Category: Math Ch 3 Class 12

a

b

c

d

49 / 100

Category: Math Ch 5 Class 12

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

Subjective

objective

qualitative

quantitative

50 / 100

Category: Math Ch 4

Sum of all cube roots of 64 is :

0

1

64

-64

51 / 100

Category: Math Ch 4 Class 12

If ? 0 then the point ?(−?, −?) lies in the quadrant

I

II

III

IV

52 / 100

Category: Math Ch 7 Class 12

The lines joining the mid-points of any two sides of a triangle is always _____to the third side.

Equal

Parallel

perpendicular

base

53 / 100

Category: Math Ch 6

If sum of series is defined then it is called:

Convergent series

Divergent series

finite series

Geometric series

54 / 100

Category: Math Ch 7 Class 12

a

b

c

d

55 / 100

Category: Math Ch 1 Class 12

The quantity which is used as a variable as well as constant is called

Parameter

Constant

Real Number

None of these

56 / 100

Category: Math Ch 7 Class 12

a

b

c

d

57 / 100

Category: Math Ch 9

An angle is in standard position , if its vertex is

At origin

at ? − ????

??? − ????

in 1st Quad Only

58 / 100

Category: Math Ch 3

For any two matrices A and B ,(? + ?)^? =

?^?.?^?

?^? + ?^?

59 / 100

Category: Math Ch 12

The point of intersection of the right bisectors of the sides of the triangle is :

Circum centre

In-centre

Escribed center

Diameter

60 / 100

Category: Math Ch 7 Class 12

a

b

c

d

61 / 100

Category: Math Ch 7 Class 12

The vector whose magnitude is 1 is called

Null vector

unit vector

free vector

scalar

62 / 100

Category: Math Ch 7

. The number of ways for sitting 4 persons in a train on a straight sofa is:

24

6

4

None of these.

63 / 100

Category: Math Ch 10

???(?? − ?) =

????

– ????

????

– ????

64 / 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

65 / 100

Category: Math Ch 1

The set {?, −?} possesses closure property ?. ?. ?

+

×

÷

−

66 / 100

Category: Math Ch 11

Range of ? = ???? is

?

? ≥ 1?? ? ≤ −1

−1 ≤ ? ≤ 1

? − [−1,1]

67 / 100

Category: Math Ch 3

a

b

c

d

68 / 100

Category: Math Ch 7 Class 12

a

b

c

d

69 / 100

Category: Math Ch 4 Class 12

?? ? < 0, ? < 0 then the point ?(?, ?) lies in the quadrant

I

II

III

IV

70 / 100

Category: Math Ch 4 Class 12

The point where the medians of a triangle intersect is called_________ of the triangle.

Centroid

centre

orthocenter

circumference

71 / 100

Category: Math Ch 6

If sum of series is not defined then it is called:

Convergent series

Divergent series

finite series

Geometric series

72 / 100

Category: Math Ch 4 Class 12

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

Median

altitude

perpendicular bisector

normal

73 / 100

Category: Math Ch 7 Class 12

a

b

c

d

74 / 100

Category: Math Ch 6

a

b

c

d

75 / 100

Category: Math Ch 9

Two rays with a common starting point form:

Triangle

Angle

Radian

Minute

76 / 100

Category: Math Ch 2 Class 12

a

b

c

d

77 / 100

Category: Math Ch 7

A card is drawn from a deck of 52 playing cards. The probability of card that it is an ace card is:

2 /13

4 /13

1 /13

17 /13

78 / 100

Category: Math Ch 7 Class 12

a

b

c

d

79 / 100

Category: Math Ch 6

a

b

c

d

80 / 100

Category: Math Ch 6

a

b

c

d

81 / 100

Category: Math Ch 9

Straight line angle is equal to

1/2 ????????

? radian

180°

All of these

82 / 100

Category: Math Ch 9

?° is equal to

30 minutes

60 minutes

1/60 minutes

1/2 minutes

83 / 100

Category: Math

Every recurring decimal is

a rational number

an irrational number

a prime number

a whole number

84 / 100

Category: Math Ch 2 Class 12

a

b

c

d

85 / 100

Category: Math Ch 3 Class 12

a

b

c

d

86 / 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

87 / 100

Category: Math Ch 1

Golden rule of fraction is that for ? ≠ ?, ?/? =

??/??

??/?

??/b

88 / 100

Category: Math Ch 3 Class 12

a

b

c

d

89 / 100

Category: Math Ch 10

a

b

c

d

90 / 100

Category: Math Ch 12

a

b

c

d

91 / 100

Category: Math Ch 7 Class 12

a

b

c

d

92 / 100

Category: Math Ch 6

An infinite geometric series is convergent if

|?| > 1

|?| = 1

|?| ≥ 1

|?| < 1

93 / 100

Category: Math Ch 3

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

??ℎ row and ??ℎ column

??ℎ column and ??ℎ row

(? + ?)?ℎ row and column

94 / 100

Category: Math Ch 12

To solve an oblique triangles when measure of three sides are given , we can use:

Hero’s formula

Law of cosine

Law of sine

Law of tangents

95 / 100

Category: Math Ch 2

If ? ∈ ? ∪ ? then

? ∉ ? ?? ? ∉ ?

? ∉ ? ?? ? ∈ ?

? ∈ ? ?? ? ∉ ?

? ∈ ? ?? ? ∈ ?

96 / 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

97 / 100

Category: Math Ch 4 Class 12

A line bisecting 2nd and 4th quadrants has inclination:

0°

45°

135°

∞

98 / 100

Category: Math Ch 3 Class 12

a

b

c

d

99 / 100

Category: Math Ch 13

a

b

c

d

100 / 100

Category: Math Ch 9

Two rays with a common starting point form:

Triangle

Angle

Radian

Minute

Your score is

The average score is 52%

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The additive identity in set of complex number is