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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

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Question # 2

A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

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1/2

2/3

1/3

2/5

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Question # 3

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

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Question # 4

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Question # 5

The common ration of a geometric sequence cannot be

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0

1

2

3

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Question # 6

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Question # 7

Unit vector in the positive direction of x-axis is

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Question # 8

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

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Question # 9

Archimedes approximate the function by horizontal function and the area under f by the sum of small

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Parallelograms

Squares

Retangles

Polygons

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Question # 10

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t. to addition

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Question # 11

The sum of infinite numbers of terms of an arithmetic series is

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Finite

Infinite

May or may not finite

None of these

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Question # 12

The series obtained by adding the terms of a geometric sequence is called

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Infinite series

Arithmetic series

Geometric series

Harmonic series

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Question # 13

The solution of the equation 3 tan²x = 1 is ____________

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none of these

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Question # 14

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2 b

2 a

2 ab

a + b

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Question # 15

The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is

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(0,0)

(1,1)

(2,2)

(3,3)

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Question # 16

The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by

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Question # 17

8 . 7 . 6. 5 in factorial form is

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Question # 18

The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

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Question # 19

A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

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Question # 20

A circle passing through the vertices of any triangle is called

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Circumcirle

Incircle

Escribed circle

Unit circle

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Question # 21

i¹⁰¹ =

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i

i²

-i

-1

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Question # 22

The quadratic formula is

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Question # 23

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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Question # 24

Domain of cosθis

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Set of odd numbers

Set of integers

Set of real numbers

Set of complex numbers

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Question # 25

If for two events A and B , P(A∪B)=1,then events A and B are

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Certain events

Mutually exclusive

Complementary events

Independent

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Question # 26

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Question # 27

The harmonic mean between a and b is

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Question # 28

Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

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3

1

2

4

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Question # 29

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Question # 30

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A

A'

U

None of these

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Question # 31

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