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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If uv= Projuv then
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Uandvare parallel
vis a unit vector
Uis a unit vector
Both b and c
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Question # 2
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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 # 3
An unbiased die is thrown. Then the probability of getting a prime is
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1/2
2/3
3/4
None of these
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Question # 4
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A.P.
G.P.
H.P.
None of these
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Question # 5
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Question # 6
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Question # 7
Choose an answer
none of these
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Question # 8
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0
20
90
80
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Question # 9
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2x + 2y
4 - x
2
-x/y
x/y
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Question # 10
Composition of functions is
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Non-commutative (fg ≠ gf)
non-associative [8(fh) ≠(8f)h]
Commutative (fg = gf)
f of-1≠ 1
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Question # 11
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1
2
-2
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Question # 12
nCn-r is equal to
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n!
n-1Cr
nCr
None of these
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Question # 13
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1
-1
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Question # 14
Domain of cos
θ
is
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Set of odd numbers
Set of integers
Set of real numbers
Set of complex numbers
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Question # 15
Power set of X i.e P(X) _______ under the binary operation of union U
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Forms a group
Does not form a group
Has no identity element
Infinite set although X is infinite
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Question # 16
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additive property
multiplicative property
additive identity
multiplicative identity
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Question # 17
In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is
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Straight line
Circle
Hyperbola
Symmetric w.r.t.0
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Question # 18
Choose an answer
a
1
+ a
2
a
2
1
+ a
2
2
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Question # 19
In common logarithm the base is
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1
0
10
e
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Question # 20
If n is any positive integer then 4
n
>3
n
+ 4 is true for all
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Question # 21
2π is the period of
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sin𝜽
tan𝜽
cot𝜽
all circular function
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Question # 22
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Even
Odd
Prime
None of these
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Question # 23
The set {Z\{0}} is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 24
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Improper rational fraction
Rational fraction
Proper rational fraction
None of above
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Question # 25
An equation of the form ax + by = k is homogeneous linear equation when
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b = 0, a = 0
a = 0,b ≠ 0
b = -0,a≠ 0
a≠ 0,b≠ 0, k = 0
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Question # 26
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Associative law of addition
Commutative law of addition
Additive identity
Closure law of addition
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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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Question # 29
If distance of (a,b) from y-axis is 2 then
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a = 2
b = 2
a = b
a = 4
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Question # 30
The parametric equations of a circle are
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Question # 31
The line y =mx +1 is tangent to the parabola y2 =4x if
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m=1
m=2
m=3
m=4
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