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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
2x - 3x + c
x
2
- 3x + c
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Question # 2
Every relation, which can be represented by a linear equation in two variables, represents a
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Relation
Cartesian product
Function
Graph
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Question # 3
x
2
+ x - 6 = 0 is
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An equation
An identity
A polynomial
None of these
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Question # 4
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An ellipse
A parabola
A circle
A hyperbola
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Question # 5
The equation of the circle with centre origin and radius r is
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x
2
+ y
2
= 1
x
2
+ y
2
= r
2
x
2
+ y
2
= 0
x
2
- y
2
= r
2
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Question # 6
The expansion of (1 - 3x)
-1
is valid if
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| x | < 1
| x | < 3
| x | < 1/3
None of these
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Question # 7
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Question # 8
A disjunction of two statement p and q is true
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p is false
q is false
Both p and q are false
One of p and q is true
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Question # 9
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 # 10
sin (2
π
-
θ
)
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cos
θ
sin
θ
tan
θ
-sin
θ
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Question # 11
A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is
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Question # 12
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none of these
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Question # 13
3x + 4 > 0 is
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equation
identity
inequality
none of these
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Question # 14
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
Choose an answer
4
64
8
All values of k
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Question # 15
The exact degree value of the function sin-1( -√3/2) is
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70
ο
50
ο
90
ο
60
ο
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Question # 16
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 # 17
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
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2 AB
2 BA
A + B
AB
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Question # 18
The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is
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1 / 4
1 / 2
3 / 4
25 / 98
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Question # 19
The negation of a number
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a relation
a function
unary operation
binary operation
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Question # 20
For all points (x,y) in fourth 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 # 21
1/3 is ______
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A prime number
An integer
A rational number
An irrational number
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Question # 22
F(x) = x
x
decreases in the interval
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(0, e)
(0, 1)
(-
∞
,0)
None
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Question # 23
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none of these
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Question # 24
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 # 25
What is the circular measure of the angle between the hands of a watch at 4 O'clock
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Question # 26
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 27
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none of these
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Question # 28
cos(π/2-θ) = ________;
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cosθ
sinθ
-cosθ
-sinθ
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Question # 29
If D = {a} , the P(D) =
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{a}
∅
{∅,{a}}
{∅,a}
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Question # 30
The distance of the point (-2 , -3) from y-axis is
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2
-2
3
-3
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Question # 31
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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