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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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Question # 2
How many term are there in the A.P, in which a
1
= 11 , a
n
=68, d=3
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30
27
20
21
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Question # 3
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 4
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x-axis
y-axis
z-axis
None of these
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Question # 5
The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is
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70 m
85 m
35 m
None of these
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Question # 6
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 7
The value of k (k > 0) for which the equation x
2
+ kx + 64 = 0 and x
2
- 8x + k = 0 both will have real roots is
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8
-16
-64
16
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Question # 8
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Question # 9
For the parabola the line through focus and perpendicular to the directrix is called
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Tangent
Vertex
Axis
None
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Question # 10
The number of terms in the expansion of (a + x)
12
is
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13
12
11
10
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Question # 11
The general equation of a circle is
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Question # 12
The value of the expression sin
θ
+ cos
θ
lies between
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Question # 13
The greatest term in the expansion of (3+2x)
9
, when x=1 is
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4th
4th and 5th
5th
6th
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Question # 14
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 15
Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is
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375
500
625
150
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Question # 16
How many arrangements of the letters of the word ADDING can be made
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Question # 17
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Question # 18
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 19
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Question # 20
A triangle which is not right is called an ______ triangle
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Acute
Obtuse
Oblique
None of these
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Question # 21
If the intersection of two sets is non-empty, but either is a subset of other are called
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Disjoint sets
Over lapping
Equal sets
None of these
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Question # 22
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
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191
193
211
None of these
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Question # 23
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π / 3
π / 4
π / 2
π
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Question # 24
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Question # 25
The coordinates of a point P(x,y) referred to XY-system are
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(x+y,y+k)
(x-h,y-k)
(x,y)
(x-h,y-k)
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Question # 26
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cot x + c
tan x + c
-cot x + c
-tan x + c
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Question # 27
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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Question # 28
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1
0
-1
2
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Question # 29
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Question # 30
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 # 31
Period of sin 3x is ______
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