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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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A
-
A
t
-A
A
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Question # 2
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Question # 3
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
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9998
9999
10000
None of these
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Question # 4
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Question # 5
f(x)g(x)- ∫g(x) f′(x) dx is equal to
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∫f(x)g′(x)dx
∫f′(x)g(x)dx
∫f′(x)g(x)′dx
∫f(x)g(x)dx
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Question # 6
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I and
I
V
quadrants
none of these
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Question # 7
Two circles are said to be concentric if they have
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same radius
same chord
same centre
same diameter
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Question # 8
The set of the first elements of the ordered pairs forming a relation is called its
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Function on B
Range
Domain
A into B
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Question # 9
Period of tan 4x is ______
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Question # 10
The synthetic division method is only used to divide a polynomial by
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quadratic equation
binomial
linear equation
monomial
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Question # 11
The square matrix A is skew-symmetric when At=
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-B
-C
-A
-D
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Question # 12
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Question # 13
The length of the tangent from (2, 1) to the circle x
2
+ y
2
+ 4y + 3 = 0 is
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Question # 14
If Projvu = Projuv, then
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Uand vare parallel
|u|=|v|
Uandvre perpendicular
One ofuorv
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Question # 15
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Question # 16
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A
B
A'B'
B'A
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Question # 17
sin[cot
-1
{cos(tan
-1
x)}]=
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Question # 18
1,1/3,1/5,1/7,1/9..... is a
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geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 19
The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is
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120
100
140
160
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Question # 20
nCn-r is equal to
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n!
n-1Cr
nCr
None of these
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Question # 21
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 # 22
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Question # 23
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Question # 24
The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is
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1
0
1'
1"
1 rad
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Question # 25
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1
-1
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Question # 26
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Question # 27
If A and B are two disjoint events then
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P(A∪B)=P(A)+P(B)
P(A∪B)=P(A)-P(A∪B)
P(A∪B)=P(A)or P(B)
None
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Question # 28
When the angle between the ground and the sun is 30
𝜊
,flag pole costss a shadow of 40 mg long. the height of the top of the flag is
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25m
23m
12m
29m
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Question # 29
The function whose range consists of just one element is called
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One-One Function
Identity Function
Onto Function
Constant Function
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Question # 30
Gooch crucible is made of :
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Brass.
Porcelain.
Bronze.
Gold.
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Question # 31
If sin x + sin
2
x = 1, then the value of Cos
12
x + 3cos
10
x + 3cos
8
x + cos
6
x + 2 cos
4
x + cos
2
x-2 is equal to
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0
1
2
sin
2
x
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