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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

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Question # 2

The additive inverse of 0 is

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1

-1

0

Does not exist

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Question # 3

The principal value of sin^-1[-√(√3) /2] is

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5π/3

-2π/3

-

π/3

π/3

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Question # 4

If A = {x/x is a positive integer and 4≤x<23}, then A=

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{1,2,3,4,5,6,7}

{4,5,6...........22}

{1,2,3,.........23}

{1,2,3,4,5}

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Question # 5

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Question # 6

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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Question # 7

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Question # 8

The distance of the points (3, 4, 5) from y-axis is

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Question # 9

An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is

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2 mn

1/2 mn

mn

mn²

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Question # 10

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 # 11

The sides of a right angled triangle are in A.P The ratio of sides is

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1:2:3

3:4:5

2:3:4

5:8:3

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Question # 12

Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when

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q = 0, r = 0,p ≠ 0

p = 0,qr≠ 0

r = 0,pq≠ 0

q = 0, pq≠ 0

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Question # 13

The vertices of the ellipse x²+ 4y²= 16 are

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Question # 14

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y : x

x : y

-y : x

-x : y

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Question # 15

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a₁+ a₂

a²₁+ a²₂

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Question # 16

The root of the quadratic equation are

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3

2

1

4

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Question # 17

Sin 50°-sin 70°+sin 10° is equal to

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1

0

1/2

2

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Question # 18

The number of x-intercepts of y= sin x in his period

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0

1

2

3

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Question # 19

The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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Question # 20

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quadrant I

quadrant II

quadrant III

quadrant IV

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Question # 21

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6

20

0

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Question # 22

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A positive integer

A negative integer

A natural number

An irrational number

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Question # 23

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Question # 24

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Question # 25

If uv= Projuv then

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Uandvare parallel

vis a unit vector

Uis a unit vector

Both b and c

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Question # 26

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Question # 27

The solution of differential equation:

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dy/dx+y/x = x²is :

4xy = x⁴+ c

4x = x⁴= c

4 y = x⁴+ c

4x=4x³ + c

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Question # 28

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

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Question # 29

Period of sin 3x is ______

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Question # 30

Find the geometric mean between 4 and 16

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Question # 31

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sec x tan x

-cosec x cot x

sec²x

-sin x

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