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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

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Question # 2

If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

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Question # 3

The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is

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Question # 4

For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

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Question # 5

i⁹ =

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i²

-1

1

i

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Question # 6

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Question # 7

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Question # 8

Find a if 1 is a root of the equation x²+ ax + 2 = 0

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3

-3

2

0

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Question # 9

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I quadrant

II quadrant

III quadrant

IV quadrant

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Question # 10

A square matrix A for which A^t= -A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

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Question # 11

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-1

1

2

-2

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Question # 12

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

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Question # 13

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6

360

120

24

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Question # 14

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A.P.

G.P.

H.P.

None of these

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Question # 15

∀x,y∈R and x> 0 , y>0, if x > y

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None of these

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Question # 16

probability of a certain event is

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0

-1

1

∞

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Question # 17

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3x²+ 2

3x²+ 2x + 3

x³+ x²

none of these

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Question # 18

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3 x 2

2 x 3

3 x 3

2 x 2

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Question # 19

Geometric mean between a and b is

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Question # 20

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Question # 21

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Question # 22

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

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0

1

1/2

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Question # 23

Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is

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3! P(n, r - 3)

P(n, 3) P(n, r - 3)

P(r, r)P(n, r - 3)

P(n - 3, r)

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Question # 24

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Question # 25

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

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Question # 26

A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

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b cotαtanβ

b tanαtanβ

b tanαcotβ

None of these

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Question # 27

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0

-2

1

4

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Question # 28

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (-1,-2) the

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d₁< d₂

d₁> d₂

d₁= d₂

none of these

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Question # 29

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

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Question # 30

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Question # 31

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