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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Sin-1(-x)=
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x
-x
-sin-1 x
cos-1 x
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Question # 2
Number of terms in the expansion of (a+x)
n
is
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n - 1
n + 1
n + 2
n + 3
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Question # 3
Tangent is a periodic function and its period is ______
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2
π
3
π
π
4
π
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Question # 4
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
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(1,1)
(0,1)
(1,0)
(0,0)
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Question # 5
The term involving x
4
in the expansion of (3 - 2x)
7
is
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120
1512
1250
15120
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Question # 6
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
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Question # 7
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 # 8
The length of perpendicular from (3,1) to 4x +3y +20 =0 is
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6
7
3
8
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Question # 9
The mid point of the line segment joining the points (4,0) and (0,4) is
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(4,4)
(2,2)
(-4,-4)
(-2,-2)
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Question # 10
w
-1
= ______
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0
1
w
w
2
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Question # 11
Range if y = cos x is
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-1≤ y≤ 1
-1 < y < 1
-∞ < x < +∞
None of these
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Question # 12
The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is
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1.2%
1.5%
0.16%
100.16%
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Question # 13
The slope of the normal at (5 cos, 0, 5 sin 0) to the circle. x
2
+y
2
= 25 is:
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tan𝜽
cos𝜽 /sin𝜽
-cot𝜽
- tan𝜽
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Question # 14
tan
θ
/2
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Question # 15
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 16
The set {1,2,3,4......} is called
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Set of natural numbers
Set of whole numbers
Set of rational number
Set of irrational numbers
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Question # 17
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Question # 18
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 19
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cos 2x
2 cos 2x
2 sin2x
-2 cos2x
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Question # 20
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none of these
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Question # 21
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Question # 22
Sine rule for a triangle states that
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a/sin A = b/sin B = c/sin C
sin A/a = sin B/b = sin C/c
a/sin A + b/sin B + c/sin C
2a/sin A = 2b/sin B = 2c/sin C
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Question # 23
The eccentricity of the parabola y
2
= -8x is
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-2
2
-1
1
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Question # 24
In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=
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12
n=14
17
n=15
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Question # 25
The sum of an infinite geometric series exist if
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| r | < 1
| r | > 1
r = 1
r = -1
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Question # 26
The zero vector is
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[0, 0, 0]
[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
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Question # 27
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Question # 28
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Question # 29
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 # 30
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1
2
3
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Question # 31
The centroid of a triangle divides each median in the ratio
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2 : 1
3 : 1
3 : 2
1 : 1
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