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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is
Choose an answer
2
1
-1
-2
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Question # 2
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 3
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 4
Arithmetic mean between x - 3 and x + 5 is
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x + 1
x + 2
x + 3
x + 4
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Question # 5
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An empty set
Universal set
A singleton set
None of these
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Question # 6
3x + 4
>
0 is
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equation
inequality
identity
none of these
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Question # 7
x = _________ is in the solution of 2x + 3 < 0
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0
2
-1
-2
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Question # 8
(x3-1/x)12
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295
495
395
722
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Question # 9
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 10
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
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α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 11
4
1+x
+ 4
1-x
= 10 is called
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 12
Derivative of sin x w.r.t. sin x is
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0
1
sin x
cos x
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Question # 13
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Question # 14
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 15
Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is
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-a
a +1
-1-a
None of these
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Question # 16
The range of the principle cot function is
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Question # 17
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Question # 18
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Question # 19
The solution of the equation 3 tan
2
x = 1 is ____________
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none of these
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Question # 20
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Right angled
Obtuse angled
Isosceles
Equilateral
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Question # 21
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
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a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 22
An equation which holds good for all values of variables is called
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Equation
Conditional equation
Constant
None
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Question # 23
The square root of every incomplete square is an
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Rational numbers
Even numbers
odd numbers
Irrational numbers
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Question # 24
For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?
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(3, 2)
(2, 3)
(1, 8)
(0, 3)
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Question # 25
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sin h x
cos h x
tan h x
cot h x
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Question # 26
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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Parabola
Circle
Hyperbola
Ellipse
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Question # 27
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Question # 28
The equation x2+ y2- 8x+ 6y+ 25= 0 represents
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A circle
A pair of straight lines
A point
None of these
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Question # 29
n
2
- 1 divisible by 8 when n is
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an odd integer
an even integer
Irrational
Prime Number
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Question # 30
The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is
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36 square units
3 square units
6 square units
18 square units
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Question # 31
It is not possible to find the exact value of
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π
√9
∛27
√1
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