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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

If cosα= 4/5, then cosα/2

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Question # 2

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

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2

3

4

1

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Question # 3

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Question # 4

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Question # 5

If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:

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x² = 4y -32

x² =8y -32

y³ = 16 x

x2 + 8y =32

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Question # 6

If a polynomial P(x) is divided by x + a, then the remiander is

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P(a)

P(-a)

P(0)

None of these

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Question # 7

The domain of the principle sine function is

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Question # 8

Domain of cosecθis

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Question # 9

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Question # 10

The order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

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Question # 11

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Question # 12

An improper rational fraction can be reduced by division to a

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Proper fraction

Polynomial

mixed form

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Question # 13

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Question # 14

∀x,y∈ R and x < 0, y < 0, which one is true

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xy < o

xy = o

xy > o

None of these

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Question # 15

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0

1

-1

None of these

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Question # 16

For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

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Question # 17

The square roots of negative numbers is called

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Real no

Complex no

Positive no

Negative no

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Question # 18

G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

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Question # 19

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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Question # 20

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

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3 / 10

5 / 10

7 / 10

9 / 10

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Question # 21

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none of these

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Question # 22

The positive integer just greater than (1+0.0001)¹⁰⁰⁰⁰is

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4

5

2

3

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Question # 23

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0

-1

1

not defined

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Question # 24

Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

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Question # 25

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Reflexive property

Symmetric property

Transitive property

Additive property

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Question # 26

The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

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36 square units

3 square units

6 square units

18 square units

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Question # 27

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Question # 28

If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

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Question # 29

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Question # 30

Q∪ Q' =

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Q

Q'

N

R

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Question # 31

The set of complex numbers forms a group under the binary operation of

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Addition

none of these

Division

Subtraction

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