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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If n∈Z+ then(a+x)n is a/an
Choose an answer
Finite series
Convergent series
Infinite series
Divergent series
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Question # 2
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 3
Choose an answer
1
2
3
None of these
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Question # 4
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 # 5
If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?
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0
2
4
7
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Question # 6
If ax + bx + c =0 is satisfied by every value of x,then
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b = 0,c = 0
c = 0
b = 0
a = b = c = 0
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Question # 7
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Question # 8
Choose an answer
none of these
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Question # 9
(a,0) x (c, 0) =
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(0,ac)
(ac, 0)
(0,0)
(a, c)
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Question # 10
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Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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Question # 11
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Question # 12
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 13
Cofactor of an element a
ij
is defined by
Choose an answer
(-1)
i+j
|A|
(-1)
i+j
M
ij
(-1)
i+j
M
-1
None of these
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Question # 14
i
=
Choose an answer
√1
√2
√-2
√-1
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Question # 15
∫sin(ax+b) dx is equal to:
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1/2a cos (ax + b)
-1/a cos (ax +b)
1/a cos (ax +b)
1/a ln (ax + b)
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Question # 16
Find the geometric mean between 4 and 16
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Question # 17
The number of permutation that can be formed from the letters of the word OBJECT is
Choose an answer
700
600
720
620
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Question # 18
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 # 19
Choose an answer
1
-1
5
2
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Question # 20
Choose an answer
2
1
5
0
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Question # 21
The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is
Choose an answer
12
𝜊
9
𝜊
7
𝜊
-120
𝜊
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Question # 22
The set (Z, +) forms a group
Choose an answer
Forms a group w.r.t. addition
Non commutative group w.r.t. multiplication
Forms a group w.r.t multiplication
Doesn't form a group
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Question # 23
Choose an answer
none of these
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Question # 24
The equation of the circle with centre (-h, -k) and radius r is
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(x +h)
2
+ (y+k)
2
= r
2
(x +h)
2
+ (y-k)
2
= r
2
(x -h)
2
+ (y+k)
2
= r
2
(x -h)
2
+ (y-k)
2
= r
2
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Question # 25
Choose an answer
Evert element of A is in B
Every element of B is in A
Every element of A is in B'
Every element of A is in A
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Question # 26
If f(x) = x
2
then f(0) is
Choose an answer
0
1
2
none of these
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Question # 27
The coefficient of xn in the expansion of (1-x)-1 is
Choose an answer
(-1)n2n
1
(-1)n(n+1)
(n+1)
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Question # 28
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Question # 29
Period of tan x is ______
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Question # 30
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
Choose an answer
α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 31
For any equilateral r :R :η :r1 :r2 :r3 =
Choose an answer
1:2:3:4:5
1:2:3:3:3
1:2:4:4:4
2:1 :2 :2 :2
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