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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x
2
+ 5x -5 for x> 0 is
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1
5
-5
-1
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Question # 2
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0
1
-1
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Question # 3
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Question # 4
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Additive property in R
Multiplication property in R
Cancellation property in R
Distribution property in R
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Question # 5
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Question # 6
30° = ______
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Question # 7
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Question # 8
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Question # 9
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A
A'
U
A A'
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Question # 10
The general equation of circle x
3
+ y
3
+ 2gx + 2fy + c = 0 , contains:
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Three independent variables
Two independent conntants
Three indepentent parameters
Three independent constants
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Question # 11
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 # 12
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Question # 13
If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 14
sec h x = ________
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Question # 15
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1
-1
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Question # 16
The domain of a finite sequence is a
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Set of natural numbers
R
Subset of N
Proper subset of N
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Question # 17
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 # 18
If A⊆ B, and B is a finite set, then
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n (a) < n(B)
n(B)<(A)
n(A)≤ n (B)
n(A)≥ n(B)
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Question # 19
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 20
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Question # 21
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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Question # 22
If p and q are two statements then their conjunction is denoted by
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Question # 23
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 24
A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is
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1 / 3
8 / 15
5 / 13
5 / 9
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Question # 25
The sum of the squares of three distinct real numbers, which are in G.P., is S
2
. if their sum is
α
S then
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Question # 26
Name the property used in 4 + 9 = 9 + 4
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 27
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Question # 28
The magnitude of vector a=i-3j+5k is:
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3
√35
√17
√35
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Question # 29
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Question # 30
Two tangents drawn from (2,3) to the circle x2+y2 =9 are
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Real and distinct
Imaginary
Real and coincident
None of these
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Question # 31
The sum of indicated terms of a sequence is called
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Arithmetic series
Series
Harmonic series
None of these
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