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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The inclination of a line parallel to x-axis is
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Question # 2
For any set B,B∪B' is
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Is set B
Set B'
Universal set
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Question # 3
The number of permutation that can be formed from the letters of the word OBJECT is
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700
600
720
620
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Question # 4
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Question # 5
In quadratic equation y=ax
3
+bx+c, if b and c are both zero then the graph is
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Symmetric w.r.t.y-axis
Symmetric w.r.t.x-axis
Straight Line
Circle
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Question # 6
Product of any n consecutive positive integers is divisible by
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n
√n
n!
None
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Question # 7
In ladder leaning against a vertical well makes an angle of 24
𝜊
with the wall, Its foot is 5m from the wall, its length is
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5.47m
2m
7m
6.29m
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Question # 8
Every recurring decimal represents
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A natural number
A rational number
An irrational number
A whole number
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Question # 9
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0
1
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Question # 10
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 11
A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is
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73 / 120
83 / 120
67 / 120
43 / 120
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Question # 12
f(x) = x
3
is:
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an odd function
an even function
an implicit function
a quadratic funtion
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Question # 13
What is the period of tan 4/3 x =?
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π/4
4π/3
7π/4
3π/4
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Question # 14
The contra positive of p → q is
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q → p
~q→~q
~p→~q
None of these
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Question # 15
(a-1)-1 =
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a-1
a
-a
None of above
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Question # 16
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 17
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quadratic function
constant function
linear function
exponential function
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Question # 18
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Question # 19
The value of x, and y, when (x + iy)
2
= 5 + 4i
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X = 2, y = 1
X = -2, y = 1
X = 2, y = -1
X = 2, y = 2
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Question # 20
(x + 2)
2
= x
2
+ 4x
+ 4 is
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A linear equation
A cubic equation
A quadratic equation
None
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Question # 21
Domain of cosec
θ
is
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Question # 22
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Question # 23
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Question # 24
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Question # 25
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Question # 26
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Question # 27
The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is
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(√6,1)
(2,3)
(7,-2√6)
(4,-√6)
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Question # 28
A∪(A∪B)= --------------------
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B
A
A∪B
None of these
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Question # 29
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A
A'
U
U'
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Question # 30
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 31
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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