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ECAT Mathematics Online Test MCQs With Answers
Question # 1
ᵨ is a
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variable
Positive constant
Positive variable
Directrix
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Question # 2
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Question # 3
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Question # 4
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 # 5
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0
undefined
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Question # 6
An infinite arithmetic series is always
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Convergent
Oscillatory
Divergent
None of these
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Question # 7
If z = (x,y) , then z ̅ =
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(-x,y)
(x,-y)
(-x, -y)
None of these
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Question # 8
Two circles are said to be concentric if they have
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same radius
same chord
same centre
same diameter
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Question # 9
√(-1b) =?
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b i
-i b
b2
i√b
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Question # 10
A function in which the second elements of the order pairs are distinct is called
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Onto function
One-one function
Identity function
Inverse function
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Question # 11
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 # 12
(0.90)
1/2
is equal to
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0.99
0.90
0.80
0.88
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Question # 13
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 # 14
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 15
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Principle of equality of Fractions
Rule for product of fraction
Golden rule of fraction
Rule of quotient of Fraction
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Question # 16
In R, the additive inverse of a is
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0
1
-a
1/a
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Question # 17
For all points (x,y) in first quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 18
G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are
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2, 2, 2
3, 3, 3
2, 2, 4
2, 3, 4
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Question # 19
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Question # 20
If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is
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1
3
2
4
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Question # 21
A sequence is a functions whose domain is a subset of the set of
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Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 22
The formula an = a +(n-1)d for an A.P is called
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nth term of an A.P
Sum of first n terms
A,M between a and b
None of the above
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Question # 23
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Question # 24
If you are looking a bird in the tree from the ground then the angle formed is called angle of______;
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Elevation
Depression
Right angle
None of these
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Question # 25
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Question # 26
The exact value of cos-1 (0) is
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π/2
-π/2
3π
π-π/6
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Question # 27
The period of the trigonometric function y = sin x cos x is
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2π
π
4π
π / 2
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Question # 28
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 29
The polynomial x - a is a factor of the polynomial f(x) if and only if
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f(a) is positive
f(a) is negative
f(a) = 0
None of these
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Question # 30
If a,b,c are unit vectors then |a + b|2 +|a - b|2
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4
8ab
9cos
4(a,b)
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Question # 31
The total cost of 2 apples and 3 oranges is $1.70, which of the following is true
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The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
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