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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

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Question # 2

If Z₁= 1 + i, Z₂= 2+3i, then |Z₂- Z₁| = ?

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Question # 3

If the graph of f is entirely below the x-axis, then the value of definite integral is

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= 0

< 0

> 0

None

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Question # 4

The area under the curve y = 1/x² between x = 1 and x =4 is:

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-25

0.75

-0.35

-10

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Question # 5

If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

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Question # 6

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Question # 7

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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Question # 8

Period of 2 cos x is ______

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Question # 9

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A

A'

U

U'

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Question # 10

The velocity of a particle moving along a straight line is given by v = 3t + t². The acceleration of the particle after 4 seconds from the start is

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4

11

26

None

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Question # 11

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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Question # 12

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Question # 13

The expansion (1 + x)^-3holds when

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|x| > 1

|x| < 1

x < 1

x > 1

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Question # 14

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a sec(ax + b) + c

- a sec(ax + b) + c

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Question # 15

The quadratic formula is

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Question # 16

Every whole number is

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A real number

An irrational number

A prime number

A negative integer

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Question # 17

Which is in the solution set of 4x - 3y < 2

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(3, 0)

(4, 1)

(1, 3)

None

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Question # 18

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range of f

domain of f

both (a) and (b)

none of these

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Question # 19

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8

1/56

56

None of these

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Question # 20

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

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Question # 21

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Question # 22

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A

B

A'B'

B'A

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Question # 23

The cube roots of 8 are

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Question # 24

The equation of the directrix of the parabola x²= 4ay is

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x + a = 0

x - a = 0

y + a = 0

y - a = 0

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Question # 25

The null vector is regarded to be perpendicular to

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Every vector

In some cases

Both a b

None

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Question # 26

What is the period of 6 sin x=?

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π

-π

π/2

2π

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Question # 27

Domain of tan x is ______

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Question # 28

If Z₁= 1 + i, Z₂= 2+3i, then |Z₁- Z₂| = ?

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Question # 29

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Question # 30

Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10

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Question # 31

If 3x⁴+ 4x³+ x - 5 is divided by x + 1, then the reminder is

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0

7

-7

5

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