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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
P∉ A means
Choose an answer
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 # 2
The factorial of a positive integers is a (an)
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Rational number
Positive integer
Real number
None
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Question # 3
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Orthogonal
Involutary
Idempotent
Nilpotent
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Question # 4
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 # 5
ᵨ is a
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variable
Positive constant
Positive variable
Directrix
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Question # 6
Choose an answer
1
2
3
None of these
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Question # 7
The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to
Choose an answer
-2
2
3
-1
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Question # 8
If f (x) = 2x+1 then fof (x) = _______;
Choose an answer
4x+3
2x +3
4x +1
None of these
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Question # 9
If eccentricity of ellipse becomes zero then it takes the form of
Choose an answer
A parabola
A circle
A straight line
None of these
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Question # 10
The set of integers is a subset of
Choose an answer
The set of natural numbers
The set of whole numbers
The set of prime numbers
The set of rational numbers
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Question # 11
Choose an answer
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Question # 12
If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is
Choose an answer
α
c
b
d
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Question # 13
y=0 of the parabola y
2
= 4ax is the
Choose an answer
equation of directirx
Equatio of the tangent
Equation of axis
equation of latus rectum
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Question # 14
∫
f
(x) is known as:
Choose an answer
Definite itegral
Indefinite integral
Fixed integral
Multiple integral
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Question # 15
∀a,b, c ε R,a +c = b + c = > a = b
Choose an answer
Reflexive property
Symmetric property
Cancellations property w.r.t. addition
Transitive property
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Question # 16
A key ring is an example of
Choose an answer
Permutation
Circular permutation
Combination
None
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Question # 17
∀x,y,z ∈ R and z 0,then
Choose an answer
x > y ⇒ xz > yz
x<y ⇒ xz < yz
x < y ⇒ xz > yz
None of these
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Question # 18
Choose an answer
Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 19
Choose an answer
x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ c
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Question # 20
If Z
1
= 1 + i, Z
2
= 2+3i, then |Z
1
- Z
2
| = ?
Choose an answer
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Question # 21
Choose an answer
The law of sines
The law of consines
The law of tangents
None of these
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Question # 22
Sin h
-1
x = _________
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Question # 23
The set of even prime numbers is
Choose an answer
(2,4,6,8,10}
{2,4,6,8,10,12}
{1,3,5,7,9}
{2}
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Question # 24
In ladder leaning against a vertical well makes an angle of 24
𝜊
with the wall, Its foot is 5m from the wall, its length is
Choose an answer
5.47m
2m
7m
6.29m
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Question # 25
Choose an answer
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Question # 26
i
3
=
Choose an answer
-1
i
-i
1
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Question # 27
Choose an answer
2s
2
2s
3
s
3
3s
3
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Question # 28
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Question # 29
If A and B are two matrices such that AB = B and BA =A, then A
2
+ B
2
=
Choose an answer
2 AB
2 BA
A + B
AB
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Question # 30
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
Choose an answer
191
193
211
None of these
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Question # 31
f(x) = ax + b will be a constant function if
Choose an answer
a = 1 , b = 1
a = 1 , b = 0
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