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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
How many different 5-digit even numbers are possible form digit 1,2,4,6,8
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4 : 4!
4!
5!
4!+4!
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Question # 2
The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is
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1
-15
9
2
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Question # 3
Cofactor of an element a
ij
is defined by
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(-1)
i+j
|A|
(-1)
i+j
M
ij
(-1)
i+j
M
-1
None of these
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Question # 4
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Question # 5
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5 / 12
3 / 8
5 / 8
7 / 4
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Question # 6
The square of the distance between two points P(x
1
, y
1
) and Q(x
2
, y
2
) is
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Question # 7
Decimal part of irrational number is
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Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
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Question # 8
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Question # 9
The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are
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Question # 10
If n is odd then the middle terms in the expansion of (a + x)
n
are
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Question # 11
The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3
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5,3
5,-3
5,0
10,0
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Question # 12
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 13
The complement of set A relative to universal set U is the set
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Question # 14
In (x + iy) x is the known as
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Imaginary part of complex number
Real part of complex number
Complex number
None of above
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Question # 15
45° = ______
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Question # 16
The period of 3 sin x is
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2π
9π
3π
5π
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Question # 17
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Question # 18
w
11
= ______
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0
1
w
w
2
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Question # 19
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Question # 20
{x|x∈R∧x≠x} is a
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Infinite set
Null set
Finite set
None of these
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Question # 21
In order of A is m x n and order of B is n x p then order of AB is
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m x m
n x n
m x p
p x m
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Question # 22
The set {0,-1} hold closure property under
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Addition
Both a & c
Multiplication
None of these
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Question # 23
In the function f: A⟶B, the elements of a are called
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Images
Pre-images
ranges
Parameters
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Question # 24
Two sets A and B are said to be disjoint if
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Question # 25
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Question # 26
The order axioms are satisfied by set of
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C
C and R
R
None of these
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Question # 27
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x
39
40x
39
40x
41
none of these
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Question # 28
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Question # 29
sin(180° -
θ)=
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cos
θ
-cos
θ
Tan
θ
Sin
θ
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Question # 30
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 # 31
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3K
K2
K3
K
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