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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The general equation of a circle is
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Question # 2
The central angle of an arc of a circle whose length is equal to the radius of the circle is called one
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Degree
Second
Minute
Radian
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Question # 3
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2x - 3x + c
x
2
- 3x + c
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Question # 4
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-a -b -c
1
0
-1
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Question # 5
The axis of the parabola y
2
= 4ax is
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X = 0
Y = 0
X = y
X = -y
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Question # 6
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0
-1
1
not defined
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Question # 7
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6x + 2 + c
6x + x
2
+ c
6x
3
+ x
2
+ x
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Question # 8
Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7
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7 / 40
5 / 40
11 / 40
None of these
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Question # 9
There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is
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n
P
m
n
C
m
x (m - 1) !
n-1
P
m
None of these
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Question # 10
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Question # 11
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 12
Domain of cosec x is ______
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Question # 13
The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are
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Question # 14
Which of the following sets is finite
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The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
The set of real numbers between 0 and 1
The set of rational numbers between 0 and 1
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Question # 15
If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length
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|u+v|
|u|+|v|
|u-v|
|u|-|v|
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Question # 16
The set Q
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Forms a group under addition
Does not form a group
Contains no additive indentity
Contains no additive inverse
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Question # 17
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Hermitian matrix
Skew-hermitian matrix
Symmetric matrix
Identity matrix
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Question # 18
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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 19
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
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A.P.
G.P.
H.P.
None of these
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Question # 20
Cot 45° = ______
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Question # 21
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2
x
2
x
In x
2
x
In 2
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Question # 22
The angle of elevation of the top of a tree from a point 17 meters from is foot is 42
𝜊
The height of the tree is
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12m
21m
17m
15m
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Question # 23
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Question # 24
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
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2 and 64
64 and 3
64 and 4
None of these
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Question # 25
The coordinates of a point P(x,y) referred to XY-system are
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(x+y,y+k)
(x-h,y-k)
(x,y)
(x-h,y-k)
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Question # 26
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Question # 27
tan270° =__________;
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0
1
-1
Undefined
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Question # 28
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Question # 29
0.25 is ______
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An irrational number
A natural number
A prime number
A rational number
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Question # 30
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Question # 31
The direction cosines of y-axis are
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1, 0, 0
0, 1, 0
0, 0, 1
1, 1, 1
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