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ECAT Mathematics Online Test MCQs With Answers
Question # 1
3x + 4 < 0 is
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inequality
equation
identity
not inequality
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Question # 2
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Question # 3
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Question # 4
The period of cosec 10x is _______
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Question # 5
The sum of indicated terms of a sequence is called
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Arithmetic series
Series
Harmonic series
None of these
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Question # 6
The maximum value of sin
θ
cos
θ
is
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1
1/2
1/4
1/6
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Question # 7
The distance of the point (2,3) from y-axis is
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2
3
5
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Question # 8
The function sine and Cosine have the closed internal as their range
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[1, 0]
[-1, 1]
[0, 1]
[-1, 2]
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Question # 9
The period sin
2
θ
is
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π
2
π
2
π
π/2
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Question # 10
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 11
The point (x
1
, y
1
) lies outside the circle x
2
+ y
2
+ 2gx + 2fy + c =0 if
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Question # 12
If x
2
+ px + 1 is a factor of ax
3
+ bx +c, then
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a
2
+ c
2
= -ab
a
2
- c
2
= -ab
a
2
- c
2
= ab
None of these
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Question # 13
The negative square root of 9 can be written as:
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-√9
√9
√18
-√18
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Question # 14
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Question # 15
The identity element of a set X with respect to intersection in P(x) is
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X
Does not exist
∅
None of these
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Question # 16
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Question # 17
The multiplicative inverse of 1 - 2i is
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Question # 18
Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is
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2
9
2
10
2
11
2
8
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Question # 19
The coefficient of the third term of (8a-b)
1/3
, after simplification is
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-228
1/288
1/220
-1/177
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Question # 20
Which of the following us a scalar
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displacement
velocity
acceleration
density
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Question # 21
A and B throw a dice. The probability that A's throw is not greater then B's is
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5 / 12
7 / 12
1 / 6
1 / 2
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Question # 22
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Question # 23
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Question # 24
If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a
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Constant function
Variable value
Function of upper limit
All
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Question # 25
Find the geometric mean between 4 and 16
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Question # 26
Express as a sum or difference: 2 sin 5
θ
cos
θ
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cos 4
θ
- cos 2
θ
sin 4
θ
+ sin 2
θ
cos 4
θ
+ cos 2
θ
sin 4
θ
- sin 2
θ
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Question # 27
The 26th term of the A.P -2,-4,10,.............is
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136
-136
148
-148
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Question # 28
The roots of px2 - (p-q)x-q=0 are
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equal
Irrational
Rational
Imaginary
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Question # 29
Digit in the unit place of the number 183! + 3
183
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7
6
3
0
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Question # 30
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none of these
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Question # 31
y=0 of the parabola y
2
= 4ax is the
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equation of directirx
Equatio of the tangent
Equation of axis
equation of latus rectum
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