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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
An empty set
Universal set
A singleton set
None of these
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Question # 2
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 3
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2, 3
3, 3
2, 6
2, 4
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Question # 4
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3
1
2
4
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Question # 5
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Question # 6
If 3x
4
+ 4x
3
+ x - 5 is divided by x + 1, then the reminder is
Choose an answer
0
7
-7
5
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Question # 7
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 # 8
The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3
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5,3
5,-3
5,0
10,0
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Question # 9
Through how many radians does the hour hand of a clock turn in one hour
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Question # 10
The period of|sin2x| is
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π/2
-π/2
π
π/3
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Question # 11
The maximum value of the quadratic function f(x) = 2x2-4x+7,is
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3
5
-3
-5
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Question # 12
The point where the axis meets the parabola is called
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Directrix
Foucu
Chord
Vertix
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Question # 13
The equation of the circle with centre (5, -2) and radius 4 is
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(x-5)
2
+ (y+2)
2
= 16
(x-5)
2
+ (y+2)
2
= 4
(x-5)
2
+ (y-2)
2
= 16
(x-5)
2
+ (y-2)
2
= 4
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Question # 14
cos2a=______;
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cos2 a-sin2 a
2cos2 a-1
1-2 sin2 a
All of these
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Question # 15
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π
π / 2
π / 3
π / 4
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Question # 16
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
Choose an answer
A = B
B = C
A≠ C
A ≠ B
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Question # 17
The set of the first elements of the orders pairs forming a relation is called its
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Relation in B
Range
Domain
Relation In A
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Question # 18
22.5°=______
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Question # 19
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Question # 20
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 # 21
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 22
(7, 9) + (3, -5) =
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(4, 4)
(10, 4)
(9, -5)
(7, 3)
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Question # 23
The additive inverse of 1 is
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1
-1
0
Does not exist
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Question # 24
Associative law of multiplication
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ab - ba
a(bc) = (ab) c
a(b + c) = ab +ac
(a +b)c = ac + bc
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Question # 25
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 26
The set of real roots of the equation log
(5x + 4)
(2x +3)
3
- log
(2x + 3)
(10x
2
+ 23x + 12) = 1 is
Choose an answer
{-1}
{-3/5}
Empty set
{-1/3}
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Question # 27
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 28
The series obtained by adding the terms of an arithmetic sequence is called the
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Infinite series
Harmonic series
Geometric series
Arithmetic series
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Question # 29
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sin h x
cos h x
tan h x
cot h x
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Question # 30
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Question # 31
Sec
-1
x =
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Cos
-1
1/x
cosec
-1
1/x
Cos
-1
(-x)
Tan
-1
x
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