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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
tan
-1
(1/4) + tan
-1
(2/9) is equal to
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1/2 cos
-1
(3/5)
1/2 sin
-1
(3/5)
1/2 tan
-1
(3/5)
tan
-1
1/2
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Question # 3
A vector with magnitude one is called
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constant vector
unit vector
zero vector
null vector
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Question # 4
In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=
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12
n=14
17
n=15
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Question # 5
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None of these
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Question # 6
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Question # 7
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k3
0
3k
k6
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Question # 8
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x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ c
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Question # 9
f(x) = 2x
2
+ 3x + 5 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 10
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Question # 11
There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is
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n
P
m
n
C
m
x (m - 1) !
n-1
P
m
None of these
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Question # 12
If 4 sin
2
ฮธ
=1, then values of
ฮธ
are
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Question # 13
The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is
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x + y + z - 15 = 0
x - y + z - 15 = 0
x - y - z - 15 = 0
x + y + z + 15 = 0
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Question # 14
For an arithmetic series to be convergent it is necessary that the series has
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Finite terms
d<0
Infinite terms
None of these
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Question # 15
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Question # 16
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From an empty set
1
2
>2
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Question # 17
The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents
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Circle
Hyperbola
Ellipse
Pair of straight lines
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Question # 18
The unit vector along y-axis is
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none of these
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Question # 19
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none of these
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Question # 20
The two parts into which 57 should be divided so that their product is 782 are
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43,14
34,23
33,24
44,13
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Question # 21
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R
2R
r
2r
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Question # 22
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0
1
none of these
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Question # 23
If sided of๐ABC are 16,20,and 33, then the value of the greatests angle to
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150๐ 20'
132๐ 35'
101๐ 25'
160๐ 50'
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Question # 24
If a
1
, r and a
n
are the first term, common ratio and the nth term respectively of a G. P. then a
n
=
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a
1
r
n
a
1
r
n-1
a
1
r
n+1
a
1
r
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Question # 25
If a=5j + 2j,b=2i -3j, then|a+2b|=
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โ21
โ97
โ39
None of these
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Question # 26
The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is
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3
2
1
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Question # 27
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1
-1
0
I
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Question # 28
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Question # 29
The product of the four fourth roots of unity is
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0
1
-1
None of these
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Question # 30
โa,b,cโR, a >b โง b>c โ a >c is
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Trichotomy property
Transitive property
Symmetric property
Additive property
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Question # 31
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A
A'
U
U'
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