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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108

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8

6

7

36

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Question # 2

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Question # 3

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3

1

2

4

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Question # 4

The set {-1,1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

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Question # 5

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Question # 6

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Question # 7

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Question # 8

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-2

-1

1

2

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Question # 9

The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

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Question # 10

f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

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Question # 11

Roots of the equation x²- 7x + 10 = 0 are

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{2, 5}

{-2, 5}

{2,5}

{-2,-5}

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Question # 12

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1

2

3/2

5/2

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Question # 13

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Question # 14

cos2a=______;

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cos2 a-sin2 a

2cos2 a-1

1-2 sin2 a

All of these

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Question # 15

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None of these

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Question # 16

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-3 -2i

3 +2i

1 + 2i

1 - 2i

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Question # 17

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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parabola

circle

hyperbola

ellipse

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Question # 18

Roots of the equation x²+ 7x + 12 = 0 are

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

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Question # 19

The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a

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Square

Rhombus

Rectangle

Parallelogram

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Question # 20

The set {1,2,3,4......} is called

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Set of natural numbers

Set of whole numbers

Set of rational number

Set of irrational numbers

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Question # 21

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

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Question # 22

Area bounded between the curve xy=2 and the lines x=1 and x=2

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ln2 square units

ln√2 square units

ln4 square units

Square units

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Question # 23

The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is

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50 cm/sec

60 cm/sec

61 cm/sec

None of these

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Question # 24

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

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Question # 25

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Question # 26

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Question # 27

The set {-1, 1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

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Question # 28

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I quadrant

II quadrant

III quadrant

IV quadrant

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Question # 29

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Question # 30

A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string

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62m

82m

73m

57m

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Question # 31

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