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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Φ set is the _______ of all sets
Choose an answer
Subset
Union
Universal
Intersection
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Question # 2
If a > b or a < b than a = b is a
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Additive property
Transitive property
Trichotomy property of inequality
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Question # 3
(a +b
i
) -c (c +d
i
) =
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(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 4
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Question # 5
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Question # 6
A and B be two square matrices and if their inverse exist, the (AB)
-1
=
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A
-1
B
-1
AB
-1
A
-1
B
B
-1
A
-1
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Question # 7
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perpendicular vectors
parallel vectors
concurrent vectors
none of these
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Question # 8
If A is any matrix then its additive inverse is
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A
A
-1
A
t
-A
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Question # 9
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Set of whole number
Rational Numbers
Complex numbers
Whole numbers
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Question # 10
Choose an answer
(2x+a+b+c)
(a+b+c)
(a+b+c+x)
0
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Question # 11
If x = 1/x for x ∈ R then the value of x is
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±1
0
2
4
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Question # 12
The angle of elevation of the top of a tree from a point 17 meters from is foot is 42
𝜊
The height of the tree is
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12m
21m
17m
15m
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Question # 13
Which one is quadrantal angle
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8181710°
2345°
-8181180°
-2344°
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Question # 14
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0
-1
1
1/2
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Question # 15
1/2,1/3,1/4,1/5.........is
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a geometric sec
an arithmetric series
finite sequence
an infinite sequece
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Question # 16
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Question # 17
The roots of the equation ax
2
+ bx + x = 0 are real and distinct if
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b
2
- 4ac <0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 18
The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is
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120°
30°
130°
45°
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Question # 19
If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be
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Improper subset of B
Super set of B
Proper subset of B
None of these
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Question # 20
If P is a whole number greater than 1, which has only P and I are factors. Then P is called
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Wholw number
Prime number
Even number
Odd number
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Question # 21
Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 22
The graph of y> 0 is the upper - half of:
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y-axis
x-axis
1st and 4th quandrant
2nd and 3rd quadrant
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Question # 23
The roots of (b-c)x2+(c-a) x+a-b=0 are equal if
Choose an answer
2b = a+c
2a = b+c
2c = a+b
a + b + c =0
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Question # 24
If the domain of the function f: x⟶ 2x
3
+ 1 is {-1,2,3}, the range of the function is
Choose an answer
{3,2,5}
{1,3,9}
{-1,-2,-3}
{3,9,19}
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Question # 25
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 26
There is no integer n for which 3
n
is
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Odd
even
Natural
Prime
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Question # 27
If order of A is m x n, then order of A
t
is
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m x m
n x n
m x n
n x m
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Question # 28
The geometrical representation of a linear function is
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Circle
Parabola
Straight lie
None of these
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Question # 29
A line joining two distinct points on a parabola is called
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Axis
Directrix
Chord
Tangent
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Question # 30
cot
θ
= sin 2
θ
if
θ
=
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Question # 31
Choose an answer
a constant function
linear function
quadratic funtion
none of these
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