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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
A triangle has six
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side
elements
angle
tangents
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Question # 3
If f (x) is defined and continuous then f (x) is always
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Rational function
Trigonometric function
Logarithmic function
All are correct
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Question # 4
∫x/Sin
2
x dx is equal to:
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x cot x + ln|sinx |
-x cot x - ln|sinx |
x cot x - ln|sinx |
x. tan x- ln|secx |
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Question # 5
A number A is called the arithmetic mean between a and b if a, A, b is ______
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Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 6
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Question # 7
A circle drawn inside a triangle and touching its sides is called ______;
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Circumcirle
Incircle
Escribed circle
unit circle
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Question # 8
Which of the vectors have opposite direction?
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Question # 9
P∉ A means
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P
is subset of A
P
is an element of A
P does not belongs to A
A does not element of
P
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Question # 10
Area of inscribed circle is
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π R2
π η2
π r22
π r2
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Question # 11
When the angle between the ground and the sun is 30
𝜊
,flag pole costss a shadow of 40 mg long. the height of the top of the flag is
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25m
23m
12m
29m
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Question # 12
(n + 2) (n + 1)n in factorial form is
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Question # 13
w
11
= ______
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0
1
w
w
2
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Question # 14
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 15
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Multiplication property
Additive property
Trichotomy property
Transitive property of inequality
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Question # 16
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Question # 17
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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Question # 18
The line through the centre and perpendicular to the transverse axis is called the
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Major axis
Minor axis
Focal axis
Conjugate axis
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Question # 19
sin -1(sin2π/3) =
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π/2
2π/3
-3π/2
π/3
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Question # 20
For any set B, BUB' is
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Is set B
Set B'
Universal set
None of these
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Question # 21
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Question # 22
f (x) = | x | is a/an
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Injective function
Bijective function
Surjective function
Implicit function
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Question # 23
The term involving x
4
in the expansion of (3 - 2x)
7
is
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120
1512
1250
15120
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Question # 24
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 25
sin
-1
x =
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tan
-1
x
Cosec
-1
x
Cosec x
cosec
-1
(1/x)
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Question # 26
An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)
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Implicit equation
Differential equation
General equation
None of these
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Question # 27
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Question # 28
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A = B
B = C
A = C
None of these
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Question # 29
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Question # 30
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0
1
undefined
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Question # 31
The set {x +iy / x, y ∈ Q} forms a group under the binary operation of
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Addition
Multiplication
Division
Both addition and multiplication
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