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Online Tests

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Question # 1

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0

1

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Question # 2

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Question # 3

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Question # 4

The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

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Question # 5

Domain of y = cot x = ______

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Question # 6

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

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Question # 7

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Rational fraction

Proper fraction

Improper rational fraction

None of these

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Question # 8

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Question # 9

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

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Question # 10

The solution set of the equation |3x + 2| = 5 is

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Question # 11

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

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Question # 12

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all

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Question # 13

If A = {x/x is a positive integer and 4≤x<23}, then A=

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{1,2,3,4,5,6,7}

{4,5,6...........22}

{1,2,3,.........23}

{1,2,3,4,5}

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Question # 14

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Question # 15

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

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Question # 16

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

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Question # 17

The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

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Question # 18

If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is

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Question # 19

(n + 2) (n + 1) n= ______

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Question # 20

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Question # 21

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

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Question # 22

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

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Question # 23

Range of tanθis

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Set of complex numbers

Set of real numbers

Set of odd numbers

Set of positive integers only

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Question # 24

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Question # 25

Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when

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q = 0, r = 0,p ≠ 0

p = 0,qr≠ 0

r = 0,pq≠ 0

q = 0, pq≠ 0

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Question # 26

Domain of cosec x is ______

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Question # 27

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

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Question # 28

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Question # 29

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Additive property in R

Multiplication property in R

Cancellation property in R

Distribution property in R

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Question # 30

√x = ______ if is a prime number

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Rational no

Natural no

Irrational no

Complex no

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Question # 31

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

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