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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

If we have a statement "if p then q" then q is called

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Conclusion

Implication

Unknown

Hypothesis

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Question # 2

If all members of a sequence are real numbers then it is called a

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Series

Function

Real sequence

Range

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Question # 3

Roots of the equation x²+ 7x + 12 = 0 are

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

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Question # 4

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Question # 5

For each real number, there is a number which is its

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Negative

Possitive

Opposite

Similar

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Question # 6

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Question # 7

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Question # 8

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

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Question # 9

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Question # 10

csc(-π/2) = __________;

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0

1

-1

Undefined

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Question # 11

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Question # 12

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Question # 13

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

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0

5

6

10

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Question # 14

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

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Question # 15

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

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Question # 16

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Question # 17

Which of the following is a quadrantal angle

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30°

45°

60°

90°

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Question # 18

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

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Question # 19

Rank of matrix [1 3 5 0] is

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1

3

2

4

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Question # 20

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4(x³- 3x²)³+ c

3x²- 6x + c

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Question # 21

A function F(x) is called even if

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F(x) = F (-x)

F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

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Question # 22

(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if

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a+b=c+d

a+c=b+d

a+d=b+c

All are correct

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Question # 23

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0

U

u/2

log u

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Question # 24

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Principle of equality of fractions

Rule for product of fraction

Rule for quotient of fraction

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Question # 25

In R the left cancellation property w.r.t addition is

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Question # 26

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1

0

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Question # 27

If f(x) = x²- x then f(-2) is

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4

6

2

0

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Question # 28

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Question # 29

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2

4

8

12

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Question # 30

The common point to four standard parabolas

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Focus

Centre

Vertex

P(x,y)

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Question # 31

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

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-a

a +1

-1-a

None of these

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