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ECAT Mathematics Online Test MCQs With Answers
Question # 1
A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called
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A proper fraction
An improper fraction
An equation
An identity
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Question # 2
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 3
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Question # 4
f(x) = ax + b will be an identity function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 5
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6, -12, -18
-6, 4, 9
-6, -4, -9
-6, 12, 18
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Question # 6
The tangents drawn from the point P to a circle are real and coincident if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 7
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 8
√-1 b=
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b
2
2b
None of these
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Question # 9
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 10
6 is
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A prime integer
An irrational number
A rational number
An odd integer
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Question # 11
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Question # 12
∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a
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Symmetric property
Cancellation property w.r.t multiplication
Reflexive property
Transitive property
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Question # 13
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I and II quadrants
I and III quadrants
II and III quadrants
II and IV quadrants
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Question # 14
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Question # 15
If the domain of the function f: x⟶ 2x
3
+ 1 is {-1,2,3}, the range of the function is
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{3,2,5}
{1,3,9}
{-1,-2,-3}
{3,9,19}
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Question # 16
a chord passing through the focus of a parabola is called a:
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Focal chord
Latus rectum
Tangent
Directrix
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Question # 17
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π
π/6
-
π/2
2
π
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Question # 18
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 19
A point where two of its boundary lines intersect is called
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Corner point
Feasible point
Vertex
Feasible solution
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Question # 20
Ifᵨ> 1 , then the conic, is:
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Ellipse
Parabola
Hyperbola
None of these
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Question # 21
If f(x) = x
2
then f(0) is
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0
1
2
none of these
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Question # 22
(n + 2) (n + 1) n= ______
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Question # 23
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A finite set
An infinite set
An empty set
None of these
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Question # 24
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8
1/56
56
None of these
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Question # 25
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Question # 26
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Question # 27
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 # 28
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (-1,-2) the
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d
1
< d
2
d
1
> d
2
d
1
= d
2
none of these
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Question # 29
Two sets A and B are said to be disjoint if
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Question # 30
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Question # 31
a >b ⇒a +c >b +c is known as
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Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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