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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called
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Constant function
Polynomial function
Identity function
Linear function
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Question # 2
For the equation |x
2
| + |x| -6 =0, the roots are
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One and only one real number
Real with sum one
Real with sum zero
Real with product zero
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Question # 3
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Question # 4
Ifᵨ> 1 , then the conic, is:
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Ellipse
Parabola
Hyperbola
None of these
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Question # 5
The roots of (x - a)(x - b) = ab x2 are always
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Real
Depends upon a
Depends upon b
Depends upon a and b
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Question # 6
sin
α=
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2 sin
α
cos
α
2 sin
α
cos
β
2 sin
α
/2 cos
α
/2
1+ tan
2
α
/2
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Question # 7
An event having more than one sample point is called
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Certain event
Compound event
Simple event
None
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Question # 8
24 can be written as a product of
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Odd factors
Even factors
Whole factors
Prime factors
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Question # 9
The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30° and 60° respectively. The height of the tower is
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10 m
15 m
20 m
None of these
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Question # 10
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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Question # 11
If a
n
= 2n -3, write the first four terms
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-3, -1, 1, 3
1, 3, 5, 7
-1, 1, 3, 5
None of these
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Question # 12
The function sine and Cosine have the closed internal as their range
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[1, 0]
[-1, 1]
[0, 1]
[-1, 2]
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Question # 13
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 14
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none of these
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Question # 15
The standard parabolic form of the equation f(x) = x
2
+4 x +1 is
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x(x+4)+1
(x+2)
2
-3
(x+4)
3
+ 9
x(x-2)
2
+1
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Question # 16
θ and 2kπ+θ are the ________ angles
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Quadrantal angles
Coterminal
Allied
None
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Question # 17
The magnitude of vector a 2i-7j is
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√23
√43
3
√53
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Question # 18
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 19
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
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Question # 20
The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is
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30°
60°
45°
90°
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Question # 21
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Associative law of multiplication
Commutative law of addition
Commutative law of multiplication
Associative law of addition
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Question # 22
In-radius is denoted by
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r
η
r2
R
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Question # 23
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0
1
undefined
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Question # 24
x = ________ is in the solution of 2x - 5 > 0
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0
2
-2
3
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Question # 25
The conic is a parabola if
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e < 1
e > 1
e = 1
None of these
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Question # 26
w
-1
= ______
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0
1
w
w
2
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Question # 27
There is no integer n for which 3n is
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Even
Prime
Odd
Real
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Question # 28
sin
-1
[-1/2] = ______
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Question # 29
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 30
The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
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Question # 31
cos(3π/2 +θ) = _____;
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sinθ
cosθ
-sinθ
-cosθ
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