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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

The sets {1, 2, 4} and {4, 6, 8, 10} are

Choose an answer

Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

Next

Question # 2

The radius of the circle (x - 1)²+ (y + 3)²= 61 is

Choose an answer

8

4

64

None of these

Next

Question # 3

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

Next

Question # 4

f(x)g(x)- ∫g(x) f′(x) dx is equal to

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∫f(x)g′(x)dx

∫f′(x)g(x)dx

∫f′(x)g(x)′dx

∫f(x)g(x)dx

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Question # 5

Fundamental law is

Choose an answer

Next

Question # 6

Choose an answer

0

2

4/3

5/3

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Question # 7

2x + 3y > 4 is a linear inequality in

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one variable

two variables

three variables

none of these

Next

Question # 8

Choose an answer

Next

Question # 9

If y = 2x , then

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y1 -ln2y = 0

y2-(ln2)2 y = 0

y2-(ln2)y1 = 0

All are correct

Next

Question # 10

The value of the expression sinθ+ cosθlies between

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Next

Question # 11

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 # 12

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

Next

Question # 13

Choose an answer

none of these

Next

Question # 14

3x + 4 > 0 is

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equation

inequality

identity

none of these

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Question # 15

How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5

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720

600

120

6-5!

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Question # 16

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

Next

Question # 17

Choose an answer

Next

Question # 18

The sum of all positive integral multiple of 5 less than 100 is

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950

760

1230

875

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Question # 19

If a particle moves according to the law s = t³- t², then its velocity at time t = 1.5 is

Choose an answer

9/2

15/4

5

None

Next

Question # 20

The mid point of the line segment joining the points A(3,1) and B(-2,-4) is

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(1, -3)

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Question # 21

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Next

Question # 22

22.5°=______

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Next

Question # 23

A function from A to B is denoted by

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f: A→ B

f: B → A

f: → A :B

f → A→ B

Next

Question # 24

A = B if

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A is equivalent to B

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Question # 25

∫ x cos dx is equal to :

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x cos x + sin x

cos x + x sin x

x cos x + x sin x

x sin x + cos x

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Question # 26

The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is

Choose an answer

120°

30°

130°

45°

Next

Question # 27

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2 x 2

2 x 3

3 x 2

3 x 3

Next

Question # 28

Choose an answer

Next

Question # 29

Choose an answer

Principle of equality of Fractions

Rule for product of fraction

Golden rule of fraction

Rule of quotient of Fraction

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Question # 30

The vertex of the graph of the quadratic function f(x) = x2 -10, is

Choose an answer

(0 , -10)

(-10,0)

(10,0)

(0,10)

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Question # 31

Choose an answer

1.5

1.2

8

None of these

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