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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Geometrically, the modulus of a complex number represents its distance from the
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Point (1, 0)
Point (0, 1)
Point (1, 1)
Point (0, 0)
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Question # 2
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An upper triangular matrix
A lower triangular matrix
A diagonal matrix
A null matrix
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Question # 3
Any recurring decimal represents a
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Irrational no
Integer
Rational no
None of these
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Question # 4
The number of different ways of describing a set is
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One
Two
Three
Four
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Question # 5
The set of all antiderivaties of f(= ∫f(x)dx) is the
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Definite integral
Indefinite integral
Integral
Area
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Question # 6
The additive inverse of 1 is
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1
-1
0
Does not exist
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Question # 7
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0
1
-2
10
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Question # 8
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Question # 9
i
-(4n+2)
= -------------------------------
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1
i
-1
-i
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Question # 10
If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called
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1-1 and onto
Bijective
1-1 and into
None of these
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Question # 11
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 12
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Question # 13
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Question # 14
The quadratic equation 8 sec
2
θ
- 6 sec
θ
+1 = 0 has
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Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 15
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 16
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Polynomial
Equation
Improper rational fraction
Proper rational fraction
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Question # 17
The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is
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(-3,10)
(-3,-10)
(3,10)
(3,-10)
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Question # 18
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Less then 1
Equal to 1
Greater than 1 but less then 2
Greater then or equal to 2
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Question # 19
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
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1700
17023
17027
17010
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Question # 20
i
101
=
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i
i
2
-i
-1
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Question # 21
The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the
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Angle of depression
Angle of elevation
Acute angle
Obtuse angle
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Question # 22
The corner point of the boundary lines, x- 2x
x+2y=10 is:
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(8,1)
(1,8)
(6,10)
(3,5)
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Question # 23
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Question # 24
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Question # 25
The sum of first n even number is
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n2
n(n+1)
n+1
n+2
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Question # 26
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Question # 27
If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x
y-z
. y
z-x
. z
x-y
eqals
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xyz
0
1
None of these
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Question # 28
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Question # 29
Z is a group under
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Subtraction
Multiplication
Addition
None of these
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Question # 30
G is geometric mean between a and b if a, G, b is
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A.P.
G.P.
H.P.
None of these
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Question # 31
A function which is to be maximized or minimized is called an
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Explicit function
Implicit function
Objective function
None
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