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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

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Question # 2

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9/4

4/9

1

None of these

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Question # 3

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1

-1

5

2

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Question # 4

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

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Question # 5

Through how many radians does the minute hand of a clock turn in one hour

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Question # 6

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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Question # 7

Which of the following is a quadrantal angle

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30°

45°

60°

90°

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Question # 8

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

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Question # 9

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 # 10

If f(x) = tan x then f(0) is

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0

1

1/2

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Question # 11

Let A and B be two sets. If every element of A is also an element of B then

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Question # 12

sin(a-90°)=______;

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sina

cosa

-sinθ

-cosa

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Question # 13

A joint equation of the lines through the origin and perpendicular to the lines ax2 +2hxy +by2 =0 is indentical is ax2 +2hxy +by2 =0 if

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h2 = ab

a + b =0

a = b

a≠ b

a = b = 0

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Question # 14

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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z₁ > z₂

z₁ = z₂

z₁ < z₂

None of these

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Question # 15

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π / 3

π / 4

π / 6

0

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Question # 16

ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

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Question # 17

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Question # 18

An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

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Question # 19

Which of the following integrals can be evaluated

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Question # 20

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Question # 21

The line joining the center of a circle to the midpoint of the chord is

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Perpendicular to the tnagent

Perpendicular to the normal

Perpendicular to the chord

Perpendicular to the chord

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Question # 22

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Question # 23

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none of these

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Question # 24

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Question # 25

If 0 = R, thenthe additive inverse of a is

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1/9

^1/-9

a

-a

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Question # 26

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

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Question # 27

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Question # 28

A circle which touches one side of a triangle extermally and the other two sides produced is called

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In-circle

Circumcircle

e-circle

Point circle

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Question # 29

In R the left cancellation property w.r.t addition is

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Question # 30

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

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Question # 31

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