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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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-2
-1
1
2
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Question # 2
The formula an = arn-1represents
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nth term of G.P
Sum of the first n terms
G.M between a and b
None of these
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Question # 3
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Question # 4
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Question # 5
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Question # 6
n
C
2
= exists when n is ______
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Question # 7
(2.02)4 s equal to
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16
16.6496
17
18
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Question # 8
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Question # 9
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1
2
3
4
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Question # 10
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 # 11
∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is
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Trichotomy property
Transitive property
Symmetric property
Additive property
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Question # 12
(7,9) +(3,-5) =
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(4,4)
(10,4)
(9,-5)
(7,3)
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Question # 13
Which of the following is factor of x11+a11, where n is an odd integer
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x-a
x+a
2x-a
2x+a
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Question # 14
If p and q are two statements then their biconditional 'p if q' is denoted by
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Question # 15
An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)
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Implicit equation
Differential equation
General equation
None of these
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Question # 16
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Question # 17
Group of none-singular matrices under multiplication is
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None-Abelian group
Semi group
Abelian group
None of these
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Question # 18
The parabola y2 + 2y + x = 0 lie in _____ quadrant.
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First
Second
Third
Fourth
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Question # 19
If a particle moves according to the law s = t
3
- t
2
, then its velocity at time t = 1.5 is
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9/2
15/4
5
None
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Question # 20
The equation of the circle witch centre (-3, 5) and radius 7 is
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(x-3)
2
+ (y+5)
2
= 7
2
(x-3)
2
+ (y-5)
2
= 7
2
(x+3)
2
+ (y+5)
2
= 7
2
(x+3)
2
+ (y-5)
2
= 7
2
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Question # 21
The transpose of a row matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 22
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A
-A
A
t
A
-
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Question # 23
The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by
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Question # 24
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 # 25
In the interval 0≤ x ≤ π, the sine is
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Not a function
Not defined
Infinity
Not one-to-one function
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Question # 26
A number H is said to be the H.M. between a and b if a, H, b are in
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A.P.
G. P.
H. P.
None of these
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Question # 27
Range of sec
θ
is
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Z - {x | -1 < x < 1}
W - {x | -1 < x < 1}
R - {x | -1 < x < 1}
R
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Question # 28
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sec 3x + c
- cosec 3x + c
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Question # 29
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Question # 30
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None of these
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Question # 31
If the angle between two vectors with magnitude 2 and 15 is 30
°
then their scalar product is
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15
30
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