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Online Tests

ECAT Pre General Science Mathematics Online Test MCQs With Answers

Question # 1

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0

1

2

1/2

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Question # 2

The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

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Question # 3

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

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Question # 4

Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is

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Question # 5

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 # 6

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Question # 7

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K/6

2K

3K

6K

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Question # 8

If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:

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10

5

0

20

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Question # 9

A fixed point which lies on the axis of the cone is called its:

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axis

apex

plane

diameter

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Question # 10

The value of the expression sinθ+ cosθlies between

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Question # 11

What is the period of 5 cot x=?

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π

-π

π/2

2π

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Question # 12

P∉ A means

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Pis subset of A

Pis an element of A

P does not belongs to A

A does not element of P

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Question # 13

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

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Question # 14

sin5θ+sin3θ = _______;

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2sin 4θ cosθ

2cos 4θ sinθ

2cos 4θ cosθ

-2sin 4θ sinθ

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Question # 15

The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is

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Question # 16

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Question # 17

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Question # 18

If | x | < 1, then the first two terms of (1 - x)^1/2are

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Question # 19

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Question # 20

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

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Question # 21

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Question # 22

Range of sinθis

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Question # 23

The minimum value of the quadratic function f(x) = 5 x 2-11,is

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7

-7

6

-11

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Question # 24

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

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X = 2, y = -1

X = -2, y=1

X = 2, y = -1

X = 2, y = 2

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Question # 25

If ∀a,b ε R,then a +b ε R is a property

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

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Question # 26

5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

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Question # 27

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Question # 28

The solution of the equation 3 tan²x = 1 is ____________

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none of these

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Question # 29

The complement of set A relative to universal set U is the set

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

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Question # 30

π is the ration of

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Area of a circle to its diameter

Area of a circle to its radius

Circumference of a circle to its diameter

Circumference of circle to its radius

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Question # 31

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

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Boundaries

Variable separable

Initial values

None

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