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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 2
A function in which the variable appears as exponent is called:
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An identity function
A logarithmic function
an exponential function
A rational function
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Question # 3
โx, y โ R, either x = y or x > y or x < y is
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Transitive property
Reflexive property
Trichotomy property
None of these
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Question # 4
If sided of๐ABC are 16,20,and 33, then the value of the greatests angle to
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150๐ 20'
132๐ 35'
101๐ 25'
160๐ 50'
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Question # 5
If a tangent line touches the function y = f (x) in more than one point then y = f (x) is
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Periodic
Surjective
Bijective
Injective
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Question # 6
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Question # 7
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ab=-1
ab = 1
ab = 2
None
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Question # 8
For any two sets A and, A โ B if
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x โ A โ x โ B
x โ A โ x โ B
x โ A โ x โ B
None of these
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Question # 9
A,G,H are in
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A.P
G.P
H.P
None of these
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Question # 10
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Question # 11
n(n-1)(2n-1), for all natural numbers n, is divisible by
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12
6
2
18
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Question # 12
The corner point of the boundary lines, x-2y
2x + y = 2 is:
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(2,6)
(6,2)
(-2,2)
(2,-2)
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Question # 13
A polynomial of arbitrary degree
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f(x) = o
f(x) = x
f(x) = a
f(x) = ax + b,a โ 0
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Question # 14
The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is
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2
1
-1
-2
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Question # 15
The first three terms in the expansion of (1 + x)
-1
are
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1 + x + x
2
1 - x - x
2
-1 -x + x
2
1 - x + x
2
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Question # 16
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 17
If f(x) = -x
2
then f(-2) is
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-2
2
-4
4
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Question # 18
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
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4
64
8
All values of k
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Question # 19
The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is
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3
2
1
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Question # 20
Conic sections or simply conics are the curves obtained by cutting a right circular cone by
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a line
two lines
a plane
two planes
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Question # 21
If a,b c are sides of a triangle taken in order then a x b =
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b x c
b x a
cxa
Both a & b
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Question # 22
Multiplying each side of an inequality by (-1) will:
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Not effect
Change the sign
Become zero
Not defined
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Question # 23
No term of a geometric sequence can be
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0
1
2
3
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Question # 24
sin 540ยฐ =
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0
1
2
3
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Question # 25
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0
1
-1
undefined
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Question # 26
f(x) = 2
x
+ 3 . 2
2x
+ 5 is
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 27
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8
4
64
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Question # 28
A vector of magnitude zero is called
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Position vector
Null vector
Free vector
None of these
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Question # 29
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Question # 30
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x
39
40x
39
40x
41
none of these
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Question # 31
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0
1
-2
10
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