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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

The sum of n terms of a series is denoted by

Choose an answer

d

n

S_n

a_n

Next

Question # 2

The value of k (k > 0) for which the equation x²+ kx + 64 = 0 and x²- 8x + k = 0 both will have real roots is

Choose an answer

8

-16

-64

16

Next

Question # 3

Choose an answer

n!

0!

1

None of these

Next

Question # 4

I is not

Choose an answer

Real number

Natural number

Prime Number

Whole Number

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Question # 5

s > t then

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(s - t)²> (t - s)²

(s - t)²< (t - s)²

(s - t)²= (t - s)²

None

Next

Question # 6

Choose an answer

Addition

Subtraction

Multiplication

None of these

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Question # 7

The general term of the A.P. is

Choose an answer

a₁+ (n - 1) d

n + (a₁- 1) d

d + (n - 1) a₁

None of these

Next

Question # 8

Choose an answer

Next

Question # 9

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangement is

Choose an answer

⁶C₃x ⁴C₂

⁴C₂x ⁴P₃

⁴P₂x ⁶P₃

None of these

Next

Question # 10

Choose an answer

0

1

-1

none of these

Next

Question # 11

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

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Next

Question # 12

If distance of (a,b) from x-axis is 2 then

Choose an answer

a = 2

b = 2

a = b

b = 4

Next

Question # 13

Choose an answer

A

B

A'

None of these

Next

Question # 14

Choose an answer

Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

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Question # 15

The zero vector is

Choose an answer

[0, 0, 0]

[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

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Question # 16

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the co-ordinate plane. Let d = distance between P and Q

Choose an answer

Next

Question # 17

A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is

Choose an answer

1/6

1/3

1/2

2/3

Next

Question # 18

A vector with magnitude one is called

Choose an answer

constant vector

unit vector

zero vector

null vector

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Question # 19

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

Next

Question # 20

Choose an answer

The law of sines

The law of consines

The law of tangents

None of these

Next

Question # 21

In R, the additive identity is

Choose an answer

0

1

-1

None

Next

Question # 22

Choose an answer

Next

Question # 23

The range of the function f : x→ y is defined by

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{x| y = f (x) ∀x∈ X ∧y∈y}

{(x,y) |y = f (x)∀x∈ X}

{y|y = f (x) ∀x∈ X ∧y∈y}

Y

Next

Question # 24

sec (-360°) = ______

Choose an answer

0

1

2

3

Next

Question # 25

Choose an answer

Next

Question # 26

Choose an answer

0

1

Next

Question # 27

Choose an answer

1

-1

0

None of these

Next

Question # 28

x³+ 2x²- 3x + 5 is ______

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An equation

A polynomial

Proper rational fractions

Improper rational fractions

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Question # 29

Which of the following has the same value as i¹¹³?

Choose an answer

i

-1

-i

1

Next

Question # 30

The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is

Choose an answer

Next

Question # 31

A,G,H are in

Choose an answer

A.P

G.P

H.P

None of these

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