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Online Tests

ECAT Pre General Science Mathematics Online Test MCQs With Answers

Question # 1

i¹⁰¹ =

Choose an answer

i

i²

-i

-1

Next

Question # 2

Additive inverse of - a - b is

Choose an answer

a

-a + b

a - b

a + b

Next

Question # 3

A tower subtends an angle of 30° at a point distant d from the foot of the tower and on the same level as the foot of the tower. At a second point, h vertically above the firs, the angle of depression of the foot of the tower, is 60°. The height of the tower is

Choose an answer

h/3

h/3d

3h

3h / d

Next

Question # 4

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

Choose an answer

Next

Question # 5

x = r2, y = 1 are the parametric equation of

Choose an answer

Circle

Hyperbola

Ellipse

Parabola

Next

Question # 6

What is the value of cos (cos-1 2) ?

Choose an answer

√2

1/2

undefine

0

Next

Question # 7

f(x) = ax + b will be an identity function if

Choose an answer

a = 1 , b = 1

a = 1 , b = 0

Next

Question # 8

A and B be two square matrices and if their inverse exist, the (AB)^-1=

Choose an answer

A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

Next

Question # 9

Choose an answer

Next

Question # 10

The slope of the normal at (4,3) to the circle x²+y²=25 is

Choose an answer

3/4

-3/4

4/3

-4/3

Next

Question # 11

The value of x and y when (x + iy)2 = 5 - 4i

Choose an answer

x = 2, y = -1

x = -2, y = 1

x = 2, y = -i

x = 2, y = 2

Next

Question # 12

Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....

Choose an answer

3.5

3

4

None of these

Next

Question # 13

In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is

Choose an answer

69°

66°

60°

63°

Next

Question # 14

If a > 0, b > 0, c > 0, then the roots of the equation ax²+ bx + c = 0 are

Choose an answer

Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

Next

Question # 15

Let A and B be two sets. If every element of A is also an element of B then

Choose an answer

Next

Question # 16

Choose an answer

Next

Question # 17

For all points (x,y) in second quadrant

Choose an answer

x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

Next

Question # 18

The solution set of the equation |3x + 2| = 5 is

Choose an answer

Next

Question # 19

If -1 < x < 0, which of the following statements must be true?

Choose an answer

x < x²< x³

x < x³< x²

x²< x³< x

x²< x < x³

Next

Question # 20

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

Choose an answer

- x

Infinite set

Φ

{-4,4}

Next

Question # 21

Choose an answer

Next

Question # 22

Choose an answer

I quadrant

II quadrant

III quadrant

IV quadrant

Next

Question # 23

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

Choose an answer

Next

Question # 24

The number of points of intersection of two curves y = 2 sin x and y = 5x²+ 2x + 3 is

Choose an answer

0

1

2

None of these

Next

Question # 25

The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is

Choose an answer

y = x

y = x - 1

y = x + 1

y = x + 1

Next

Question # 26

Choose an answer

direction ratios

direction cosines

direction angles

none of these

Next

Question # 27

The slope of the tangent of the circle x³ + y³ =25 at (4,3) is:

Choose an answer

-4/5

4/3

-25/4

25/3

Next

Question # 28

(A ∩ B)c =

Choose an answer

A∩ B

(A ∪ B)c

Ac∪Bc

Φ

Next

Question # 29

A vector with magnitude one is called

Choose an answer

constant vector

unit vector

zero vector

null vector

Next

Question # 30

If f(x) = -x³then f(-2) is

Choose an answer

-2

-4

-8

8

Next

Question # 31

The formula an = arn-1represents

Choose an answer

nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

Next

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