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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y
2
= 4x, then
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a = 2b
2a = b
a
2
= 2b
2a = b
2
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Question # 3
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 4
A dice is rolled. The probability that the dots on the top are greater than 4 is
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1/6
1/3
1/2
1
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Question # 5
Which of the following is a scalar
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weight
force
speed
momentum
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Question # 6
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Question # 7
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Question # 8
A point where two of its boundary lines intersect is called
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Corner point
Feasible point
Vertex
Feasible solution
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Question # 9
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(x, y)
(kx, y)
(x, ky)
(kx, ky)
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Question # 10
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Question # 11
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 # 12
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 13
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 14
∫Sec
2
(ax + b) dx is equal to:
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tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 15
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
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A = B
B = C
A≠ C
A ≠ B
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Question # 16
sn (2sin-10.8)
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0.56
0.69
-0.16
0.96
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Question # 17
Range of 3 sin x is ______
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[ -3, 3]
[-1, 1]
R
None of these
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Question # 18
The 31 term of the A.P 5,2,-1.....is
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-82
82
85
-85
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Question # 19
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 20
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1
2
3/2
5/2
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Question # 21
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Question # 22
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1
5
7
9
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Question # 23
30° = ______
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Question # 24
A fraction in which the degree of the numerator is less than the degree of the denominator is called
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Polynomial
Equation
Proper fraction
Improper fraction
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Question # 25
A line joining two distinct points on a parabola is called
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Axis
Directrix
Chord
Tangent
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Question # 26
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A
A'
U
A A'
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Question # 27
f(x) = 3x/x
2
+ 1 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 28
The set of rationals numbers between 0 and I is
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Finite
Null set
Infinite
None of these
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Question # 29
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 30
The distance between the points (2,3) and (3,2) is
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5
2
10
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Question # 31
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