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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
If n is odd then the middle terms in the expansion of (a + x)
n
are
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Question # 2
When the angle between the ground and the sun is 30
𝜊
,flag pole costss a shadow of 40 mg long. the height of the top of the flag is
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25m
23m
12m
29m
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Question # 3
The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if
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A = B≠ 0
A≠ B and both are of same sign
A≠ B both are of opposite sign
Either A = 0 or B =0
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Question # 4
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Question # 5
If ΔABC is right triangle then the law of Cosines reduces to
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The Pythagoras Theorem
The law of Sines
The law of cosines
The law of tangents
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Question # 6
(1+w)(1+w2)(1+w4)(1+w8)....50 factors
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0
-1
1
2
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Question # 7
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Question # 8
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 # 9
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Question # 10
The distance of the point (-2,3) from x-axis is
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-2
2
3
1
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Question # 11
If sin 6
θ
+ sin 4
θ
+ sin 2
θ
, then
θ
=
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Question # 12
The law of tangents is ______
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Question # 13
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
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0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 14
The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is
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0
1
-1
h
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Question # 15
If y=f(x) is a function then x is called
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dependent variable
independent variable
constant
none of these
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Question # 16
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1
3
2-i
-1
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Question # 17
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Question # 18
The process of finding the unknown elements in triangle is called the
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solution of the triangle
Mean differnece
Engineering distance
angle of depressin
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Question # 19
The equation of the circle with centre (h, k) and radius r is
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(x+ h)
2
+ (y+ k)
2
= r
2
(x+ h)
2
+ (y - k)
2
= r
2
(x - h)
2
+ (y+ k)
2
= r
2
(x - h)
2
+ (y - k)
2
= r
2
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Question # 20
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Question # 21
Second derivative of y = x
9
+ 10x
2
+ 2x - 1 at x = 0 is
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10
20
12
1
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Question # 22
tan
-1
x > cot
-1
x holds for
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x > 1
x < 1
x = 1
All values of x
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Question # 23
The solution set of the equation 4 cos
2
x - 3 + 0 is
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none of these
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Question # 24
If the roots of ax
2
+ bx + c =0 are equal in magnitude but opposite in sign, then
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a = 0
b = 0
c = 0
None of these
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Question # 25
If a plane passes through the vertex of a cone then the intersection is
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an ellipse
a hyperbola
a point circle
a parabola
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Question # 26
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Question # 27
The number of the diagonals of a 6 sided figure is
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15
21
9
6
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Question # 28
The magnitude of vector a 2i-7j is
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√23
√43
3
√53
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Question # 29
Every real number is
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A complex number
A rational number
A natural number
A prime number
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Question # 30
The maximum value of sin
θ
cos
θ
is
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1
1/2
1/4
1/6
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Question # 31
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