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ECAT Mathematics Online Test MCQs With Answers
Question # 1
What is the circular measure of the angle between the hands of a watch at 4 O'clock
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Question # 2
The sum of indicated terms of a sequence is called
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Arithmetic series
Series
Harmonic series
None of these
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Question # 3
The set of real roots of the equation log
(5x + 4)
(2x +3)
3
- log
(2x + 3)
(10x
2
+ 23x + 12) = 1 is
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{-1}
{-3/5}
Empty set
{-1/3}
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Question # 4
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 5
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Question # 6
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Question # 7
cos(π/2-θ) = ________;
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cosθ
sinθ
-cosθ
-sinθ
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Question # 8
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0
U
u/2
log u
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Question # 9
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Question # 10
If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
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Question # 11
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Question # 12
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perpendicular vectors
concurrent vectors
parallel vectors
none of these
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Question # 13
The identity element with respect to subtraction is
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0
-1
0 and 1
None of thes
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Question # 14
Which of the following integrals can be evaluated
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Question # 15
6! = ______
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360
720
6.5.4
None of these
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Question # 16
The square root of 2i - 20i is
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±(5 - 2i)
±(5+ 2i)
(5 - 2i)
None of these
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Question # 17
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Question # 18
{1, 2, 3, 4,.....} is set of ______
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 19
The equation x2+ y2- 8x+ 6y+ 25= 0 represents
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A circle
A pair of straight lines
A point
None of these
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Question # 20
A circle passing through the vertices of any triangle is called ______
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In circle
Circum circle
Escribed circle
None of these
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Question # 21
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Question # 22
A quadrilateral whose diagonals are perpendicular bisector of each other is
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Square
Rectangle
Rhombus
Parallelogram
Trapezium
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Question # 23
What is the conjugate of -7 -2i ?
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-7 + 2i
7 +2i
7 -2i
√53
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Question # 24
x = _________ is in the solution of 2x + 3 < 0
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0
2
-1
-2
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Question # 25
∫x sin xdx is equal to:
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sin x/x + cos x
sin x - cos x/x
x cos x + sin x
- x cos x + sin x
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Question # 26
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 27
Minor of an element a
ij
is denoted by
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M
ij
A
ij
|A|
None of these
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Question # 28
The polar form of complex number x ≠ I y =
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r cos θ+ r sin θ
r cos θ+ is sin θ
cos θ+ r sin θ
i cos θ+ i sin θ
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Question # 29
In (x +iy) y is called as
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Imaginary part
Complex number
Real part
None of above
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Question # 30
The slope of the normal at the point (at
2
, 2at) of the parabola y
2
= 4ax is
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1/t
t
-t
-1/t
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Question # 31
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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