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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If distance of (a,b) from x-axis is 2 then
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a = 2
b = 2
a = b
b = 4
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Question # 2
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Question # 3
The function f{(x, y) | y = ax
2
+ bx + c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 4
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1
0
-1
2
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Question # 5
sin h x = ___________
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Question # 6
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6, -12, -18
-6, 4, 9
-6, -4, -9
-6, 12, 18
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Question # 7
The fifth term of an A.P. Whose first term is 5 and common difference is 3,is
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20
17
25
30
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Question # 8
Every irrational number is
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A real number
A prime number
A natural number
An integer
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Question # 9
For each even natural number n (n
2
-1) is divisible by
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6
3
4
8
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Question # 10
The distance of the point (2.3) from x-axis is
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2
3
5
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Question # 11
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Question # 12
(0,1) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 13
If a
1
, r are first term and the common ratio respectively then the sum of an infinite geometric series is
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Question # 14
x = ________ is in the solution of 2x - 3 < 0
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2
-2
3
4
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Question # 15
The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is
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1.2%
1.5%
0.16%
100.16%
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Question # 16
x =r cosθ,y= sinθ are the parametric equations of
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Circle
Ellipse
Parabola
Hyoerbola
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Question # 17
The additive identity of real number is
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1
2
1/2
0
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Question # 18
The centroid of a triangle divides each median in the ratio
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2 : 1
3 : 1
3 : 2
1 : 1
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Question # 19
A number A is called the arithmetic mean between a and b if a, A, b is ______
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Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 20
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 # 21
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 22
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a tan(ax + b) + c
- a tan(ax + b) + c
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Question # 23
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images
pre-images
constants
none of these
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Question # 24
1.4142135... is ______
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A natural number
A rational number
A prime number
An irrational number
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Question # 25
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Rational
Irrational
Even
Odd
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Question # 26
2π is the period of
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sin𝜽
tan𝜽
cot𝜽
all circular function
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Question # 27
If (x
1
, y
1
) and (x
2
,
y
2
) are the end points of a diameter then the centre of the circle is
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Question # 28
Which of the following integrals can be evaluated
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Question # 29
x = r2, y = 1 are the parametric equation of
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Circle
Hyperbola
Ellipse
Parabola
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Question # 30
The solution set of the equation tan
-1
x - cot
-1
x = cos
-1
(2 - x) is
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[0, 1]
[-1, 1]
[1, 3]
None of these
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Question # 31
Which of the following is factor of x11+a11, where n is an odd integer
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x-a
x+a
2x-a
2x+a
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