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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

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Question # 2

Two circles are said to be concentric if they have

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same radius

same chord

same centre

same diameter

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Question # 3

Total number of subsets that can be formed out of the set {a,b,c} is

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1

4

8

12

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Question # 4

2cos2 a/2 =______;

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1+sina

1-sina

1+cosa

1-cosa

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Question # 5

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Question # 6

πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

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Question # 7

An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

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Question # 8

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additive property

multiplicative property

additive identity

multiplicative identity

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Question # 9

Which of the following is not a unit vector

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[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

[1, 0, 0]

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Question # 10

The value of the expression sinθ+ cosθlies between

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Question # 11

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Question # 12

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Rational

Irrational

Non-real

Zero

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Question # 13

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none of these

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Question # 14

In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages

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45

30

25

50

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Question # 15

i⁹ =

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i²

-1

1

i

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Question # 16

3x + 4 > 0 is

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equation

identity

inequality

none of these

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Question # 17

The area bounded by y = x (x2 - 4) and below x - axis is

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4

0

-4

8

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Question # 18

The point (x₁, y₁) lies outside the circle x²+ y²+ 2gx + 2fy + c =0 if

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Question # 19

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Question # 20

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

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Question # 21

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Addition

Subtraction

Multiplication

None of these

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Question # 22

The distance of the point (1.1) from the origin is

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0

2

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Question # 23

If (0, 0) and (1, 0) are the end points of a diameter, then the equation of the circle is

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Question # 24

Range of y = sec x is

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-1≤ y≤ 1

y≥ 1 or y≤ -1

y≤ 1or y≥ -1

-∞ < y < +∞

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Question # 25

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Question # 26

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Question # 27

sin^-1 x =

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tan^-1 x

Cosec^-1 x

Cosec x

cosec^-1(1/x)

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Question # 28

√2 is a number

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Rational

Irrational

Even

Odd

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Question # 29

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

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Question # 30

(7, 9) + (3, -5) =

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(4, 4)

(10, 4)

(9, -5)

(7, 3)

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Question # 31

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

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