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ECAT Mathematics Online Test MCQs With Answers
Question # 1
An equation which hold good for all values of the variables is called
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Identity
fraction
mixed form
Partial equation
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Question # 2
A polynomial of arbitrary degree
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f(x) = o
f(x) = x
f(x) = a
f(x) = ax + b,a ≠ 0
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Question # 3
The polynomial x - a is a factor of the polynomial f(x) if and only if
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f(a) is positive
f(a) is negative
f(a) = 0
None of these
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Question # 4
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 # 5
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12
6
8
none of these
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Question # 6
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ab=-1
ab = 1
ab = 2
None
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Question # 7
Digit in the unit place of the number 183! + 3
183
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7
6
3
0
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Question # 8
If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to
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12
9
6
3
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Question # 9
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 10
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cos x
sec x tan x
sec
2
x
-cosec
2
x
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Question # 11
f(x) = 2x
2
+ 3x + 5 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 12
3/4 is ______
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An odd number
An even number
A natural number
A rational number
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Question # 13
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Question # 14
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 # 15
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Question # 16
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Question # 17
Considering Cosine Rule of any triangle ABC, possible measures of angle A includes
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Angle A is obtuse
Angle A is acute
Angle A is right-angle
All of above
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Question # 18
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 # 19
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π / 3
π / 4
π / 6
0
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Question # 20
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0
1
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Question # 21
(n + 2) (n + 1) n= ______
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Question # 22
Range of 2 tan x is ______
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[-2, 2]
-1 < x < 1
R
None of these
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Question # 23
Another name of quadratic equation is
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Polynomial
2nd degree polynomial
Linear equation
simaltaneous equations
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Question # 24
If sin
α
and cos
α
are the roots of the equation px
2
+ qx + r =0, then
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p
2
- q
2
+ 2pr = 0
(p + r)
2
= q
2
- r
2
p
2
+ q
2
- 2pr = 0
(p - r)
2
= q
2
+ r
2
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Question # 25
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Question # 26
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Question # 27
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
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32
31
64
1024
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Question # 28
The element range of sequence are called
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Series
progression
Members
Terms
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Question # 29
The largest possible domain of the function:
y=√(x ) is:
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(0 ,∞)
12
(3 , 12)
( 3 ,∞)
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Question # 30
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 31
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Multiplication property
Additive property
Trichotomy property
Transitive property of inequality
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