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ECAT Mathematics Online Test MCQs With Answers
Question # 1
ab > 0 and a > 0 then
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a > b
a < b
a = b
None
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Question # 2
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9/4
4/9
1
None of these
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Question # 3
Which of the following sets has closure property w.r.t. addition
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{ 0 }
{ 1 }
{ 0, -1}
{ 1, -1}
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Question # 4
If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:
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10
5
0
20
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Question # 5
π is the ration of
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Area of a circle to its diameter
Area of a circle to its radius
Circumference of a circle to its diameter
Circumference of circle to its radius
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Question # 6
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Question # 7
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0
1
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Question # 8
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 9
Period of 3 sin x is ______
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Question # 10
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 11
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Question # 12
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cos 3x + c
- cos 3x + c
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Question # 13
8 . 7 . 6. 5 in factorial form is
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Question # 14
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Question # 15
n different objects can be arranged taken all at a time in ______
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(n + 1)! ways
(n - 1)! ways
n! ways
n ways
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Question # 16
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Question # 17
The domain of y = cos-1 x is
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-∞ < x < ∞
-1≤ x≤ 1
x≤ -1 or x ≥ 1
None of these
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Question # 18
∀a,b, c ε R,a +c = b + c = > a = b
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Reflexive property
Symmetric property
Cancellations property w.r.t. addition
Transitive property
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Question # 19
If n∈Z+ then(a+x)n is a/an
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Finite series
Convergent series
Infinite series
Divergent series
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Question # 20
y=-a is the equation of the directrix of
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y2 =4ax
x2=-4ay
x2=4ay
y2=-4ax
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Question # 21
The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if
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c =±√2
c =0
c=±√17
c=±√15
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Question # 22
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 23
π is ______
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A complex number
A rational number
A natural number
An irrational number
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Question # 24
If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is
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Question # 25
The set of real roots of the equation log
(5x + 4)
(2x +3)
3
- log
(2x + 3)
(10x
2
+ 23x + 12) = 1 is
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{-1}
{-3/5}
Empty set
{-1/3}
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Question # 26
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Question # 27
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Question # 28
The set R is ........w.r.t subtraction
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Not a group
A group
No conclusion drawn
Non commutative group
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Question # 29
Domain of 1+cot2θ=csc2θ is
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[0,π]
R-{x/x=nπ,n∈ z}
(-∞,+∞)
[-1,1]
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Question # 30
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Question # 31
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1
-1
0
I
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