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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
The foot of perpendicular from (
α
,
β
,
γ
) only y-axis is
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(
α
, 0, 0)
(0,
β
, 0)
(0, 0,
γ
)
(0, 0, 0)
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Question # 3
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Question # 4
For all points (x,y) in first quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 5
What is the circular measure of the angles between the hands of which at 4 o clock
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π/6
3π/2
π/4
2π/3
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Question # 6
Tan 180° = ______
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-1
0
1
Undefined
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Question # 7
If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of
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Irrational numbers
Even numbers
Rational numbers
Whole numbers
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Question # 8
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5
-5
none
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Question # 9
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Less then 1
Equal to 1
Greater than 1 but less then 2
Greater then or equal to 2
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Question # 10
A polynomial P(x)has a factor (x-a)if P(a) =
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a
x
1
0
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Question # 11
If n is any positive integer then n
2
> n + 3 for
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Question # 12
Which of the following is factor of x11+a11, where n is an odd integer
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x-a
x+a
2x-a
2x+a
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Question # 13
The area of sector with central angle of 1 radians in a circular region whose radius is 2 m is
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Question # 14
Period of tan x is ______
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Question # 15
How many different 5-digit even numbers are possible form digit 1,2,4,6,8
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4 : 4!
4!
5!
4!+4!
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Question # 16
An ellipse slides between two lines at right angles to one another. The locus of its centre is :
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a parabola
an ellipse
a circle
a hyperbola
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Question # 17
If cos
-1
p + cos
-1
q + cos
-1
r =
π
then p
2
+ q
2
+ r
2
+ 2pqr is equal to
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3
1
2
-1
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Question # 18
If origin is the mid point of (a,3) and (5,b) then
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a = -5 , b = -3
a = 5 , b =3
a = -5 , b = 3
a = 5 , b = -3
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Question # 19
Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is
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2
9
2
10
2
11
2
8
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Question # 20
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Question # 21
The multiplicative inverse of x such that x = 0 is
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-x
does not exist
1/x
0
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Question # 22
cos 2
α=
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1 - 2 sin
2
α
sin
2
α
+ cos
2
β
sin
2
α
- cos
2
β
None of these
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Question # 23
The value of sin 28°cos 17°+cos 28°sin 17°is
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Question # 24
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Question # 25
∛8.6 is approximately equal to
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2.488
2.48
2.0488
2.05
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Question # 26
The span of a standard parabola depends upon
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x
a
y
y2
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Question # 27
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Question # 28
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both a & c
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Question # 29
If y = sin (ax + b), then fourth derivative of y with respect to x =
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a
4
cos (ax + b)
a
4
sin (ax + b)
-a
4
sin (ax + b)
a
4
tan (ax + b)
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Question # 30
The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a
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Square
Rhombus
Rectangle
Parallelogram
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Question # 31
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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