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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

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Question # 2

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x

y

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Question # 3

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Question # 4

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

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Question # 5

cotθ= sin 2θifθ=

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Question # 6

Z is a group under

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Subtraction

Multiplication

Addition

None of these

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Question # 7

a chord passing through the focus of a parabola is called a:

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Focal chord

Latus rectum

Tangent

Directrix

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Question # 8

The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

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Question # 9

If p and q are two statements then their conjunction is denoted by

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Question # 10

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Question # 11

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

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Question # 12

Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

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Question # 13

sin -1(sin2π/3) =

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π/2

2π/3

-3π/2

π/3

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Question # 14

If A is a non singular matrix then A^-1= ______

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Question # 15

Cot 45° = ______

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Question # 16

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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Question # 17

The probability to get an odd number in a dice thrown once is

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1/2

1/6

1/3

2

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Question # 18

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

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Fractinal numbers

Rational Numbers

Even Numbers

Whole Numbers

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Question # 19

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Question # 20

A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

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Question # 21

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Question # 22

The proposition S(n) for any n∈ N is only true if k∈ N and

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

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Question # 23

The multiplicative inverse of 1 is

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1

-1

0

Does not exist

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Question # 24

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

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Question # 25

The first three terms in the expansion of (1 - x)^-3are

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

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Question # 26

If in a set of real no a is multiplicative identity then

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a,a = a²

a,a = 1

a,a = 0

None of these

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Question # 27

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Question # 28

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0

1

13

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Question # 29

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

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Question # 30

∀x,y∈R and x> 0 , y>0, if x > y

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None of these

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Question # 31

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

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