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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

For all points (x,y) on y-axis

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x is positive

x = 0

x is negative

y = 0

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Question # 2

For any positive integer n

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ABn = Bn A ⇔ AB = BA

ABn = Bn A⇔ A,B are square matrices and AB = BA

ABn = BnA⇔ A + B

ABn = BnA ⇔ A and B are square matries

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Question # 3

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = -1

X = -2, y=1

X = 2, y = -1

X = 2, y = 2

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Question # 4

The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

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Question # 5

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Question # 6

w^-12= ______

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0

1

w

w²

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Question # 7

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Question # 8

Two sets A and B are said to be disjoint if

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Question # 9

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none of these

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Question # 10

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A

A'

U

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Question # 11

The distance of the point (-2, -3) from the origin is

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2

-5

-3

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Question # 12

A circle is a limiting case of an ellipse whose eccentricity

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Tends to a

Tends to b

Tends to 0

Tends to a + b

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Question # 13

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Rule of quotient of fraction

Golden rule of fraction

Rule for product of fraction

Principle for equality of fraction

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Question # 14

If f(x) = x²- x then f(2) is

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4

6

2

0

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Question # 15

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

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Question # 16

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 # 17

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Addition

Multiplication

Division

Both addition and multiplication

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Question # 18

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Question # 19

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Question # 20

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7

5

6

None of these

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Question # 21

A square matrix A = [aij] is lower triangular matrix when:

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aij = 0 for all i < j

bij = 0

cij = 0

dij =0

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Question # 22

A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is

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Question # 23

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Identity matrix

Diagonal matrix

Null matrix

Hermitian matrix

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Question # 24

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Question # 25

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Question # 26

A matrix in which the number of rows is equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

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Question # 27

The general term of the A.P. is

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a₁+ (n - 1) d

n + (a₁- 1) d

d + (n - 1) a₁

None of these

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Question # 28

The velocity of a particle moving along a straight line is given by v = 3t + t². The acceleration of the particle after 4 seconds from the start is

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4

11

26

None

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Question # 29

An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

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Question # 30

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

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Question # 31

A function from X to X is denoted as

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f : X to Y

f : Y to Y

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