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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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0
1
-1
none of these
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Question # 2
The set of integer is
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Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
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Question # 3
Roots of the equation x
2
- x = 2 are
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{2, -1}
{1, 0}
{2, 1}
{-2, 1}
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Question # 4
Cofactor of an element aij denoted by Aij is
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(-2)i+j
Mij
(-1)i+j Mij
None of above
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Question # 5
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π / 4
π / 6
π / 3
0
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Question # 6
The equation of a line parallel to the tangent to the circle x
2
+ y
2
= 16 at the point (2, 3) and passing thro' the origin is
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2x + 3y = 0
2x - 3y = 0
3x + 2y = 0
3x - 2y = 0
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Question # 7
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2x
3x
2
1
0
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Question # 8
Every real number is
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a positive integer
a rational number
a negative integer
a complex number
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Question # 9
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Question # 10
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Question # 11
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sin h x
cos h x
tan h x
cot h x
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Question # 12
The symbol of irrational is
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W
N
Q
Q'
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Question # 13
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0
1
-1
2
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Question # 14
Every relation, which can be represented by a linear equation in two variables, represents a
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Relation
Cartesian product
Function
Graph
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Question # 15
A non-homogeneous linear system AX = B has no solution if
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|A| = 0
|A|≠ 0
Rank (a) = no of variables
Rank > no of variables
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Question # 16
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 17
The parametric equations of a circle are
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Question # 18
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1
-i
i
0
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Question # 19
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Question # 20
For any equilateral r :R :η :r1 :r2 :r3 =
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1:2:3:4:5
1:2:3:3:3
1:2:4:4:4
2:1 :2 :2 :2
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Question # 21
Two circles are said to be concentric if they have
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same radius
same chord
same centre
same diameter
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Question # 22
If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______
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-5
5
0
1
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Question # 23
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1
0
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Question # 24
In ladder leaning against a vertical well makes an angle of 24
𝜊
with the wall, Its foot is 5m from the wall, its length is
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5.47m
2m
7m
6.29m
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Question # 25
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Question # 26
The complement of set A relative to universal set U is the set
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Question # 27
The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60
ο
and 30
ο
respectively. The the ratio of the heghts of the tower is
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2 : 1
3 : 1
1 : 2
1 : 3
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Question # 28
A triangle has ____ elements
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3
4
5
6
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Question # 29
Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is
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(2, 0)
(3, 0)
(0, 3)
(3, 2)
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Question # 30
The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is
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θ = 30°
θ = 45°
θ = 60°
θ = 75°
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Question # 31
∫
f
(x) is known as:
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Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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