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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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real part of z
imaginary part of z
conjugate of z
modulus of z
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Question # 2
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 3
A matrix in which the number of rows is not equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 4
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none of these
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Question # 5
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5
20
9
4
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Question # 6
If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is:
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an ellipse
a circle
a parabols
a hyperbola
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Question # 7
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Question # 8
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 9
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 10
The angle of depression of a point A on the ground from the top of the tower is 30π,then the angle of elevation of the top of the tower at the point A is
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60π
40π
41π
30π
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Question # 11
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (-1,-2) the
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d
1
< d
2
d
1
> d
2
d
1
= d
2
none of these
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Question # 12
Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is
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0.28
0.13
0.12
0.42
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Question # 13
If m and n be two scalars, then (m+n) g =
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0
m+n
mβa+nβa
ma - mβa
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Question # 14
If
Ξ±
,
Ξ²
are the roots of ax
2
+ bx + c = 0 and
Ξ±
+ h,
Ξ²
+ h are the roots of px
2
+ qx + r=0, then h =
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Question # 15
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1
2
3/2
5/2
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Question # 16
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Question # 17
If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2β3 m on the ground, then the angle of elevation of the sun is
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30
ΞΏ
35
ΞΏ
45
ΞΏ
60
ΞΏ
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Question # 18
A Geometric Series is divergent only if
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|r|>1
|r|β₯1
|r|=1
None of these
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Question # 19
1 + 2 + 3 + ...... + n = ______
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Question # 20
Theβ is used for the
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Positive square root
Negative square root
+ve and -ve square root
Whole number
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Question # 21
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cos 2x
2 cos 2x
2 sin2x
-2 cos2x
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Question # 22
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sec x tan x
-cosec x cot x
sec
2
x
-sin x
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Question # 23
An equation of the form ax + by = k is homogeneous linear equation when
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b = 0, a = 0
a = 0,b β 0
b = -0,aβ 0
aβ 0,bβ 0, k = 0
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Question # 24
How many necklaces can be made from 6 beads of different colours?
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120
60
24
15
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Question # 25
Area of the circle with ends of a diameter at (-3,2) and (5,-6)
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128Ο sq. units
64Ο sq. units
32Ο sq.units
None of these
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Question # 26
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Question # 27
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Question # 28
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Question # 29
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Question # 30
The set of points {(x,y)|y = f(x),βxβ} is called
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Relation
Graph of f
Function
All are correct
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Question # 31
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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