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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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5
-5
none
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Question # 2
The set (Z, +) forms a group
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Forms a group w.r.t. addition
Non commutative group w.r.t. multiplication
Forms a group w.r.t multiplication
Doesn't form a group
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Question # 3
In quadratic equation f(x) = ax
2
,if a >0, then the graph of parabola
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Opens up
Opens down
close up
symmetric w.r.t.x.axis
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Question # 4
In the expansion of (a + x)
n
the general term T
r + 1
is
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Question # 5
The set of the first elements of the orders pairs forming a relations is called its
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Relation in B
Range
Domain
Relation in A
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Question # 6
Sin 45° = ______
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Question # 7
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Question # 8
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Question # 9
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π / 4
π / 6
π / 3
0
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Question # 10
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Question # 11
If 4 sin
2
θ
=1, then values of
θ
are
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Question # 12
Which of the following is a vector
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length
momentum
volume
speed
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Question # 13
4/√49 is a
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Irrational Number
Prime Number
Rational number
Whole number
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Question # 14
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Question # 15
If sin 6
θ
+ sin 4
θ
+ sin 2
θ
, then
θ
=
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Question # 16
e-radii are denoted by
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η
r2
r3
All of these
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Question # 17
y=0 of the parabola y
2
= 4ax is the
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equation of directirx
Equatio of the tangent
Equation of axis
equation of latus rectum
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Question # 18
If #n = (n-5)
2
+ 5, then find #3 x #4.
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54
12
4
9
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Question # 19
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Question # 20
Range of 2 tan x is ______
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[-2, 2]
-1 < x < 1
R
None of these
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Question # 21
The range of y = cot x = ______
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-
∞
> y > +
∞
-
∞
> x > +
∞
-
∞ <
y < +
∞
None of above
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Question # 22
Every whole number is
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A real number
An irrational number
A prime number
A negative integer
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Question # 23
sin
-1
[-1/2] = ______
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Question # 24
The area of sector with central angle of 1 radian in a circular region whose radius is 2m is
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0.5m2
2m2
1m2
4m2
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Question # 25
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A complex number
A rational number
A natural number
An irrational number
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Question # 26
An ellipse slides between two lines at right angles to one another. The locus of its centre is :
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a parabola
an ellipse
a circle
a hyperbola
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Question # 27
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8
9
10
11
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Question # 28
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 29
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4(x
3
- 3x
2
)
3
+ c
3x
2
- 6x + c
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Question # 30
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none of these
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Question # 31
A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is
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