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Online Tests

ECAT Pre General Science Mathematics Online Test MCQs With Answers

Question # 1

The solution of the equation 3 tan²x = 1 is ____________

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none of these

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Question # 2

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Question # 3

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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Question # 4

Domain of cosec x is ______

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Question # 5

sin -1(sin2π/3) =

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π/2

2π/3

-3π/2

π/3

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Question # 6

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4(x³- 3x²)³+ c

3x²- 6x + c

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Question # 7

The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

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Question # 8

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Question # 9

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Question # 10

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

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Question # 11

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Question # 12

The product of cube roots of unity is

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Zero

1

-1

None of these

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Question # 13

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Question # 14

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

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Question # 15

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Question # 16

A conjunction of two statement p and q is true only if

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p is true

q is true

Both p and q are true

both p and q are false

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Question # 17

sin[cot^-1{cos(tan^-1x)}]=

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Question # 18

graph of sine function is bounded between lines

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y± 1 = 0

x± 1 = 0

x± y - 0

None of these

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Question # 19

Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is

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1/4

1/3

1/2

1/6

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Question # 20

The logic in which every statement is regarded as true or false and no other possibility is called

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Aristotelian login

Inductive logic

Non-Aristotelian logic

None of these

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Question # 21

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

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A = B

B = C

A≠ C

A ≠ B

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Question # 22

Range of cosec x is ______

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{-1, 1}

R

Negative real numbers

R - { x | - 1 < x < 1}

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Question # 23

A right angle is the angle of measure

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90'

60°

60"

90°

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Question # 24

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f(x) = x²

f(x²) = x

f(x) = x

none of these

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Question # 25

Domain of tan x is ______

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Question # 26

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

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Question # 27

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Question # 28

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Question # 29

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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Question # 30

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Question # 31

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

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