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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is
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1.2%
1.5%
0.16%
100.16%
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Question # 2
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 3
The domain of the principle cos function is
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Question # 4
How many numbers are there between 103 and 750 which are divisible by 6
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125
107
108
113
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Question # 5
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 6
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Question # 7
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 # 8
For n€ N,2
n>2
> n is to only when
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n<2
n≤ 4
n≥ 4
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Question # 9
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Question # 10
The many subset can be formed from the set {a,b,c,d}
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8
4
12
16
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Question # 11
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1
2
3
4
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Question # 12
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 13
A circle is a limiting case of an ellipse whose eccentricity
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Tends to a
Tends to b
Tends to 0
Tends to a + b
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Question # 14
If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is
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12
6
3
0
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Question # 15
The set (Q, .)
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Forms a group
Does not form a group
Contains no additive identity
Contains no additive inverse
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Question # 16
Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by
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46
60
50
70
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Question # 17
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 # 18
To each element of a group there corresponds ............. inverse element
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Two
One
No
Three
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Question # 19
If a 1-1 correspondence can be established b/w two sets A and B, then they are called
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Equal sets
Equivalent sets
Over lapping sets
None of these
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Question # 20
The different of tan x is
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sec2 x
ln |sec x|
sec2 xdx
-cos ec2 x
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Question # 21
graph of trigonometric function y = sec x does not meet
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x - axis
y -axis
both axis
None of these
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Question # 22
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Question # 23
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Question # 24
In natural logarithm the base is
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1
0
10
e
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Question # 25
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 # 26
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perpendicular vectors
parallel vectors
concurrent vectors
none of these
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Question # 27
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Question # 28
The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a
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Square
Rhombus
Rectangle
Parallelogram
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Question # 29
The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is
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(-3,10)
(-3,-10)
(3,10)
(3,-10)
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Question # 30
A circle passing through the vertices of any triangle is called ______
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In circle
Circum circle
Escribed circle
None of these
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