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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

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a sec(ax + b) + c

- a sec(ax + b) + c

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Question # 2

Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always

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Positive

Negative

Real

None of these

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Question # 3

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

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Question # 4

f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

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Question # 5

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Question # 6

The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

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Question # 7

Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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Question # 8

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0

1

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Question # 9

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Question # 10

An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =

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1 / 11

2 / 11

3 / 11

6 / 11

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Question # 11

The directrix of y2 =-4ax is

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y =-a

y = a

x = a

x = -a

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Question # 12

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Question # 13

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Biconditional

Implication

Antecedent

Hypothesis

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Question # 14

If f(x) = x²then f(-2) is

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-2

2

4

-4

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Question # 15

x = sin^-13, then the value of sin x is

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√(3/2)

3

Not possible

-1

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Question # 16

If n is any positive integer then n²> n + 3 for

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Question # 17

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

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Question # 18

Which is not included in the domain of cos^-1x

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0

1

-1

2

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Question # 19

Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

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Question # 20

Through how many radians does the hour hand of a clock turn in one hour

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Question # 21

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Question # 22

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Question # 23

If l, m, n are the d.c.'s of a line, then

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l2+ m2+ n2= 0

l2+ m2+ n2= 1

l + m + n = 1

l = m = n = 1

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Question # 24

If the exponent in the binomial expansion is 6, then the middle term is

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2nd

3rd

4th

5th

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Question # 25

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Question # 26

One root of the equation cos x - x + 1/2 = 0 lies in the interval

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Question # 27

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b = c

a = c

a = c

b = 0

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Question # 28

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Question # 29

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a²b²c²

4a²b²c²

4abc

None

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Question # 30

The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a

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Square

Parallelogram

Rectangle

Rhombus

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Question # 31

If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in

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A.M

G.M

H.M

G.P

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