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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The square roots of negative numbers is called
Choose an answer
Real no
Complex no
Positive no
Negative no
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Question # 2
If the circle x
2
+ y
2
+ 2gx +2fy + c = 0 passes through the origin then
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c = 0
c = -1
c = -2
c = 1
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Question # 3
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
Choose an answer
18
6
3
0
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Question # 4
The period of 2 cos x is
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30π
7π
5π
2π
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Question # 5
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Question # 6
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Question # 7
Range of 2 tan x is ______
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[-2, 2]
-1 < x < 1
R
None of these
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Question # 8
Choose an answer
36
360
24
6
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Question # 9
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120
5
4
6
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Question # 10
tan(2π+θ) = ________;
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tanθ
-tanθ
cotθ
-cotθ
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Question # 11
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
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(1,1)
(0,1)
(1,0)
(0,0)
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Question # 12
If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then
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h=2a
h=a+b
h=ab
h=ac
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Question # 13
If 4 - x >5, then
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x > 1
x > -1
x < 1
x < -1
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Question # 14
{x : xε Z and x < 1} is
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Singleton set
A set with two points
Empty set
None of these
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Question # 15
Choose an answer
a
x
In a + c
a
x
+ c
x a
x
+ c
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Question # 16
Choose an answer
9/4
4/9
1
None of these
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Question # 17
The number of permutations of n objects of which there are n
1
like of one kind, n
2
like of the second kind and n
3
like objects of third kind are
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Question # 18
In the expansion of (a + x)
n
the sum of exponents of a and x in each term of the expansion is
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n + 1
n - 1
n
2n
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Question # 19
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
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0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 20
Range of sin x is ______
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[-1, 1]
R
Negative real numbers
None of these
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Question # 21
If n is any positive integer then n
2
> n + 3 for
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Question # 22
If #n = (n-5)
2
+ 5, then find #3 x #4.
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54
12
4
9
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Question # 23
The area bounded by y = x (x2 - 4) and below x - axis is
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4
0
-4
8
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Question # 24
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0
1
2
3
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Question # 25
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Question # 26
The point of concurrency of the right bisectors of the sides of a triangle is called
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incentre
circum center
e-center
centroid
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Question # 27
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Question # 28
The eccentricity of ellipse becomes zero, then it takes the form of:
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a parabols
a straight line
a circle
None of these
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Question # 29
If a, b, c are in A.P., then 3
a
, 3
b
, 3
c
are in
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A.P.
G.P.
H.P.
None of these
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Question # 30
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A natural number
A rational number
An irrational number
A whole number
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Question # 31
The sum of all odd numbers between 100 and 200 is
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6200
7500
6500
3750
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