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Online Tests

ECAT Mathematics Online Test MCQs With Answers

Question # 1

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Question # 2

Multiplying each side of an inequality by (-1) will:

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Not effect

Change the sign

Become zero

Not defined

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Question # 3

{0} is a

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Empty set

Singleton set

Zero set

Null Set

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Question # 4

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Question # 5

How many arrangements of the letter of the word PAKPATTAN can be made

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Question # 6

The zero vector is

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[0, 0, 0]

[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

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Question # 7

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

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Question # 8

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none of these

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Question # 9

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Question # 10

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

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Question # 11

In one hour, the hour hand of a clock turns through

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Question # 12

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sin h x

cos h x

tan h x

cot h x

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Question # 13

n(n-1)(2n-1), for all natural numbers n, is divisible by

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12

6

2

18

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Question # 14

If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a

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Circle

Hyperbola

Ellipse

Parabola

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Question # 15

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Question # 16

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Question # 17

f(x) = C is

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identity function

constant function

linear function

quadratic function

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Question # 18

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Question # 19

An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

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Question # 20

The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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Question # 21

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

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Question # 22

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Question # 23

If n is odd then the middle terms in the expansion of (a + x)ⁿare

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Question # 24

If A and B are two sets then any subset R of B x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

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Question # 25

Tan 2θ=

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Question # 26

The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

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Order

Degree

Variables

All are correct

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Question # 27

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xy

y

0

x

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Question # 28

For different values of k equation 4x+5y =k represents

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Parallel lines

Lines parallel to x -axis

Perpendicular lines

Lines parallel to y -axis

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Question # 29

If f (x) = |x|, then (0,0) is the

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Critical point

Inflection point

Stationary point

None of these

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Question # 30

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

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p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

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Question # 31

The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if

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a≠ b,h≠0

a=b

h≠0

h=0

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