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ECAT Mathematics Online Test MCQs With Answers
Question # 1
x = sin
-1
3, then the value of sin x is
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√(3/2)
3
Not possible
-1
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Question # 2
For all points (x,y) on x-axis
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x is positive
x is negative
y = 0
y is negative
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Question # 3
If T = {2,4,6,8,10,12}, then
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T = (First six natural numbers)
T = (First six odd numbers)
T = (First six real numbers)
T = ( First six even numbers)
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Question # 4
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Question # 5
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0
undefined
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Question # 6
The coefficient of the second term of (a+b)
4
is
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1
9
3
5
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Question # 7
If the matrices A and B are conformable for multiplication then (AB)
t
= ______
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AB
A
t
B
t
B
t
A
t
A
t
B
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Question # 8
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Question # 9
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Associative law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 10
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Question # 11
If circumference of circle is divided into 360 congruent parts the angle subtended by one part at the centre of circle is
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1 degree
1 second
1 minute
1 radian
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Question # 12
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Question # 13
The logic in which every statement is regarded as true or false and no other possibility is called
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Aristotelian login
Inductive logic
Non-Aristotelian logic
None of these
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Question # 14
Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is
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Question # 15
The line y = 4x + c touches the hyperbola x
2
- y
2
= 1 if
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Question # 16
For any two sets A and, A ⊆ B if
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x ∈ A ⇒ x ∈ B
x ∉ A ⇒ x ∉ B
x ∈ A ⇒ x ∉ B
None of these
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Question # 17
6 is
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A prime integer
An irrational number
A rational number
An odd integer
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Question # 18
A chord passing through the centre of the circle is called
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the secant of the circle
the tangent of the circle
the arc of the circle
the diameter of the circle
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Question # 19
Sin-1(-x)=
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x
-x
-sin-1 x
cos-1 x
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Question # 20
x =r cosθ,y= sinθ are the parametric equations of
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Circle
Ellipse
Parabola
Hyoerbola
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Question # 21
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 # 22
1,1/3,1/5,1/7,1/9..... is a
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geometric sequence
finite sequence
infinite sequence
arithmetic series
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Question # 23
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Question # 24
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Question # 25
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Question # 26
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π
π/6
-
π/2
2
π
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Question # 27
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additive property
multiplicative property
additive inverse
additive identity
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Question # 28
Period of Tangent function is
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0°
-
π
π
2
π
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Question # 29
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
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A = B
B = C
A≠ C
A ≠ B
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Question # 30
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a
x
a
x
In a
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Question # 31
______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)
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Leibniz
Newton
Euler
None of these
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