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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
sin[cot
-1
{cos(tan
-1
x)}]=
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Question # 3
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Question # 4
The vertex of the equation y
2
= 4ax is:
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(2, -2)
(1,1)
(0 , 0)
(2 , 2)
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Question # 5
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Question # 6
(2 + w) (2 + w
2
) = ______
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1
2
3
0
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Question # 7
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Question # 8
A sequence is a functions whose domain is a subset of the set of
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Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 9
If | x | < 1, then the first two terms of (1 - x)
1/2
are
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Question # 10
The nth term of an A.P., is 12-4n. Its common difference is
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8
4
4
16
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Question # 11
The lotus of intersection of perpendicular tangents to the parabola y
2
= 4ax is:
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Axis of the parabola
Focal chord of the parabos
The tangent at vertex of the parabola
a directrix of the parabola
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Question # 12
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
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none of these
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Question # 13
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Question # 14
The set {-1, 1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 15
If n is add the expansion (a + x)
n
has middle terms
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2
3
4
5
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Question # 16
∀a,b,c∈R and c>0,then
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a>b ⇒ ac < bc
a>b ⇒ ac > bc
a<b ⇒ ac > bc
None of these
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Question # 17
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Question # 18
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 # 19
1/3 is a decimal
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Recurring
Terminating
Non-terminating
None of the above
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Question # 20
A circle which touches one side of a triangle extermally and the other two sides produced is called
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In-circle
Circumcircle
e-circle
Point circle
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Question # 21
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x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ c
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Question # 22
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Question # 23
For every positive integers n 1+5+9+....+ (4n - 3) is
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n(2n - 1)
(2n - 1)
n - 1
n
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Question # 24
The general solution of tan 3x = 1 is
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Question # 25
A chord passing through the centre of the circle is called
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the secant of the circle
the tangent of the circle
the arc of the circle
the diameter of the circle
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Question # 26
The axis of the parabola x
2
= 4ay is:
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y = 0
x = 0
x = -a
y = a
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Question # 27
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
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r
2
2 r
2
3 r
2
4 r
2
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Question # 28
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a
1
+ a
2
a
2
1
+ a
2
2
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Question # 29
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3 sec
2
x
3 sec
2
3x
sec
2
3x
sec
2
x
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Question # 30
The mid point of the line segment joining the points A(3,1) and B(-2,-4) is
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(1, -3)
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Question # 31
The periods of the function f(x) = x[x] is
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1
2
Non periodic
None of these
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