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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
x
3
+ 2x
2
- 3x + 5 is ______
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An equation
A polynomial
Proper rational fractions
Improper rational fractions
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Question # 2
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Question # 3
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Question # 4
Considering Cosine Rule of any triangle ABC, possible measures of angle A includes
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Angle A is obtuse
Angle A is acute
Angle A is right-angle
All of above
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Question # 5
tan 294° =______;
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tan 24°
-tan 24°
cot 24°
-cot 24°
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Question # 6
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Question # 7
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Question # 8
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Question # 9
The function {f(x,y)|y = ax2 +bx +c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 10
A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called
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A proper fraction
An improper fraction
An equation
An identity
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Question # 11
Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then
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α = β
αβ = 1
α = β
α = 1
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Question # 12
1+3x+6x2 +10x3 +....=
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(1+x)-3
(1-x)-2
(1-x)-3
(1+x)-2
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Question # 13
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
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x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 14
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 15
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none of these
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Question # 16
The vertex of the graph of the quadratic function f(x) = x2 -10, is
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(0 , -10)
(-10,0)
(10,0)
(0,10)
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Question # 17
The multiplicative inverse of 1 - 2i is
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Question # 18
If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then
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p = -14
p = -1
p =0
p=12
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Question # 19
The probability to get an odd number in a dice thrown once is
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1/2
1/6
1/3
2
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Question # 20
The different of tan x is
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sec2 x
ln |sec x|
sec2 xdx
-cos ec2 x
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Question # 21
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Question # 22
Which of the following is a quadrantal angle
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100°
200°
170°
270°
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Question # 23
If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a
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Constant function
Variable value
Function of upper limit
All
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Question # 24
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Question # 25
A conditional is regarded as false only when the antecedent is true and consequent is
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True
False
Known
Unknown
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Question # 26
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 27
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sin x + c
-sin x + c
cos x + c
-cos x + c
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Question # 28
The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a
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Square
Rhombus
Rectangle
Parallelogram
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Question # 29
If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is
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Question # 30
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Question # 31
cos(a-β) = ______;
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sin a cosβ + cos a sinβ
sin a cos β - cos a sinβ
cos a cos β + sin a sinβ
cos a cosβ - sin a sinβ
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