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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?
Choose an answer
10
66
71
106
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Question # 2
If f(x) = x
2
- x then f(2) is
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4
6
2
0
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Question # 3
A relation in which the equality is true for all values of the unknown is called ______
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An identity
An equation
A polynomial
None of these
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Question # 4
If the function y=2x -3, what is the preimage of 11?
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11
7
5
2
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Question # 5
The velocity of a particle moving along a straight line is given by v = 3t + t
2
. The acceleration of the particle after 4 seconds from the start is
Choose an answer
4
11
26
None
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Question # 6
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 7
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-1
0
1
None of these
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Question # 8
Period of sin x is
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Question # 9
Domain of cot x is ______
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Question # 10
Range of 3 sin x is ______
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[ -3, 3]
[-1, 1]
R
None of these
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Question # 11
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range of f
domain of f
both (a) and (b)
none of these
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Question # 12
y=-a is the equation of the directrix of
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y2 =4ax
x2=-4ay
x2=4ay
y2=-4ax
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Question # 13
The set {Z\{0}} is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 14
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Question # 15
If A(x
1
, y
1
) , B(x
2
, y
2
) and C(x
3
, y
3
) are the vertices of a triangle then its centroid is
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Question # 16
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Question # 17
If S is a sample space and event set E =Φ then P(E) is
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>0
1
<1
0
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Question # 18
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16
None of these
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Question # 19
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a
2
b
2
c
2
4a
2
b
2
c
2
4abc
None
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Question # 20
If s = 2t
3
- 3t
2
+ 15t - 8 is the equation of motion of a particle, then its initial velocity is
Choose an answer
8
15
-6
None
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Question # 21
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 # 22
The equation of the directrix of the parabola x
2
= 4ay is
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x + a = 0
x - a = 0
y + a = 0
y - a = 0
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Question # 23
The general equation of a circle is
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Question # 24
Which element is the additive inverse of (a, b) in Complex numbers?
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(a, 0)
(0, b)
(a, b)
(-a, -b)
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Question # 25
The eccentricity of parabola is:
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1
0
Greater than 1
Less than 1
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Question # 26
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Question # 27
General solution of tan 5
θ
= cot 2
θ
is
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Question # 28
cos(a-β) = ______;
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sin a cosβ + cos a sinβ
sin a cos β - cos a sinβ
cos a cos β + sin a sinβ
cos a cosβ - sin a sinβ
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Question # 29
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Question # 30
tan
θ
/2
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Question # 31
The eccentricity of the conic 9x
2
- 16y
2
= 144 is
Choose an answer
4/5
5/4
4/3
3/4
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