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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

If cosα= 4/5, then cosα/2

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Question # 2

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I

|A|

|A| I

None of these

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Question # 3

For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

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Question # 4

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Question # 5

The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45^𝜊.The height of the tower is

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37m

97m

101m

70m

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Question # 6

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Question # 7

If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

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Question # 8

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

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Question # 9

a chord passing through the focus of a parabola is called a:

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Focal chord

Latus rectum

Tangent

Directrix

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Question # 10

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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parabola

circle

hyperbola

ellipse

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Question # 11

The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

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Question # 12

The solution of the equation 3 tan²x = 1 is ____________

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none of these

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Question # 13

The common point to four standard parabolas

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Focus

Centre

Vertex

P(x,y)

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Question # 14

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Question # 15

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

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Question # 16

The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

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Question # 17

cos(3π/2 +θ) = _____;

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sinθ

cosθ

-sinθ

-cosθ

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Question # 18

Range of cotθis

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(+∞to -∞)

(-1 to +1)

(-5 to +5)

Set of even numbers only

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Question # 19

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Question # 20

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1

2

3/2

5/2

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Question # 21

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

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Question # 22

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Question # 23

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Question # 24

22.5°=______

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Question # 25

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Question # 26

The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if

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a≠ b,h≠0

a=b

h≠0

h=0

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Question # 27

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

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Question # 28

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none of these

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Question # 29

The Domain of y = sin x is ______

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Set of real numbers

Rational

Irrational no.

None of above

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Question # 30

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Question # 31

The expansion of (1 - 3x)^-1is valid if

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| x | < 1

| x | < 3

| x | < 1/3

None of these

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