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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

The magnitude of a vector can never be

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Zero

Negative

Positive

None of these

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Question # 2

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none of these

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Question # 3

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

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Question # 4

Derivative of a w.r.t x is

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0

1

x

x

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Question # 5

w²⁹= ______

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0

1

w

w²

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Question # 6

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

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Question # 7

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Question # 8

Each complex cube root of unity is square of

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itself

1

-1

the other

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Question # 9

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Question # 10

Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

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Question # 11

At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

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90°

60°

30°

45°

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Question # 12

The differential equation of all st. lines which are at a constant distance to form the origin is

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Question # 13

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

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Question # 14

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 # 15

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Question # 16

There is no element common in

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N and W

E and W

N and O

Q and Q'

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Question # 17

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In(x²- x + 1)⁴+ c

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Question # 18

If S is a sample space and event set E = S then P(E) is

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>0

1

<1

0

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Question # 19

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

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Question # 20

If A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

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Question # 21

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Question # 22

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

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Question # 23

The range of the principle cos function is

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Question # 24

A conditional "if p then q" is denoted by

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Question # 25

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Question # 26

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none of these

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Question # 27

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Question # 28

Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

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Question # 29

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Question # 30

cos 2α=

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1 - 2 sin²α

sin ²α+ cos²β

sin²α- cos²β

None of these

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Question # 31

If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

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