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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

What is the probability of being born on Wednesday?

Choose an answer

1/7

1/2

1/3

1/8

Next

Question # 2

A prime number can be a factor of a square only if it occurs in the square at least

Choose an answer

Once

Thirce

Twice

None of these

Next

Question # 3

Sin^-1(-x)=

Choose an answer

Cos^-11/x

- Sin^-1X

Cot^-1X

None of these

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Question # 4

Choose an answer

Next

Question # 5

The no of term is the expansion of (a+x)n-1 is

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n+1

n-1

n

n-2

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Question # 6

Choose an answer

Next

Question # 7

Rank of matrix [1 3 5 0] is

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1

3

2

4

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Question # 8

In polar form of complex number r =

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Next

Question # 9

If a > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

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Question # 10

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

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Question # 11

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Next

Question # 12

Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when

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q = 0, r = 0,p ≠ 0

p = 0,qr≠ 0

r = 0,pq≠ 0

q = 0, pq≠ 0

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Question # 13

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Next

Question # 14

Sand falls from a tube in such a way that it forms a cone whose height is always 4/3 times the radius of its base and radius of the base increases at the rate of 1/8 cm/sec. When this radius is 1 meter, the rate at which the amount of sand increases is

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Next

Question # 15

If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length

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|u+v|

|u|+|v|

|u-v|

|u|-|v|

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Question # 16

The geometrical representation of a linear function is

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Circle

Parabola

Straight lie

None of these

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Question # 17

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1

2

3

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Question # 18

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Next

Question # 19

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 # 20

The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are

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Next

Question # 21

Choose an answer

15

15 i

-15 i

-15

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Question # 22

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Next

Question # 23

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cos 2x

2 cos 2x

2 sin2x

-2 cos2x

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Question # 24

If sinαand cosαare the roots of the equation px²+ qx + r =0, then

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p²- q²+ 2pr = 0

(p + r)²= q²- r²

p²+ q²- 2pr = 0

(p - r)²= q²+ r²

Next

Question # 25

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Next

Question # 26

The angle between lines xy =0 is

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45°

60°

90°

180°

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Question # 27

The coordinates of a point P(x,y) referred to XY-system are

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(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

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Question # 28

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

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Question # 29

The angle between the vectors 3i + j - k and 2i - j + k is

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Next

Question # 30

Three right angles is the angle of measure

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270°

180°

90°

270'

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Question # 31

A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is

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2 / 13

4 / 13

5 / 13

8 / 13

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