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ECAT Mathematics Online Test MCQs With Answers
Question # 1
A square matrix A for which A
t
= -A is called a
Choose an answer
Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 2
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 3
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none of these
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Question # 4
f(x) = 1 is
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identity function
constant function
linear function
quadratic function
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Question # 5
The proposition S(n) is true∀n∈N,S(k+1) true when ______is true
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S(1)
Both a & c
S(k)
None
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Question # 6
√-1 b=
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b
2
2b
None of these
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Question # 7
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 # 8
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Question # 9
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3/4
r
v
None of these
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Question # 10
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Question # 11
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Question # 12
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Question # 13
If distance of (a,b) from origin is 5 then
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a
2
+ b
2
=5
a = 5
b = 5
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Question # 14
There are ______ types of rational fraction
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Three
Four
Five
Two
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Question # 15
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0
-1-w
2
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Question # 16
Derivative of sin x w.r.t. sin x is
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0
1
sin x
cos x
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Question # 17
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3K
K2
K3
K
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Question # 18
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a cot(ax + b) + c
- a cot(ax + b) + c
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Question # 19
The sample space for tossing a coin once is
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{T, T}
{H, H}
{H, T}
None of these
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Question # 20
How many term are there in the A.P, in which a
1
= 11 , a
n
=68, d=3
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30
27
20
21
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Question # 21
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Question # 22
6 is
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A prime integer
An irrational number
A rational number
An odd integer
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Question # 23
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Question # 24
Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....
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3.5
3
4
None of these
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Question # 25
If f(x) = x
2
- x then f(-2) is
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4
6
2
0
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Question # 26
The period of tan [x/3] is ______
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2
π
4
π
3
π
5
π
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Question # 27
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Question # 28
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Question # 29
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In(x
2
- x + 1)
4
+ c
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Question # 30
The number of arbitrary constants in the general solution of a differential equation is equal to the different equation
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Order
Degree
Variables
All are correct
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Question # 31
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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