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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by
Choose an answer
46
60
50
70
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Question # 3
{1, 2, 3} is _____
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an infinite set
A finite set
A singleton set
Universal set
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Question # 4
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1
0
-2
3
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Question # 5
Let a
1
, a
2
, a
3
, a
4
and a
5
be such that a
1
, a
2
, and a
3
are in A.P., a
2
, a
3
and a
4
are in G.P and a
3
, a
4
and a
5
are in H.P. Then, a
1
, a
3
and a
5
are in
Choose an answer
G.P.
A.P.
H.P.
None of these
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Question # 6
What is the number of elements of the power set of { }
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0
1
2
3
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Question # 7
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additive property
multiplicative property
additive inverse
additive identity
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Question # 8
3/4 is ______
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An odd number
An even number
A natural number
A rational number
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Question # 9
3x + 4 < 0 is
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inequality
equation
identity
not inequality
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Question # 10
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Question # 11
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π / 3
π / 4
π / 6
0
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Question # 12
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None of these
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Question # 13
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4x + 1
4x
2x
3
none of these
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Question # 14
Minor of an element a
ij
is denoted by
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M
ij
A
ij
|A|
None of these
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Question # 15
Find the geometric mean between 4 and 16
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Question # 16
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Question # 17
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Reflexive property
Symmetric property
Transitive property
Additive property
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Question # 18
The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called
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Linear Inequalities
Feasible regions
Half planes
Boundary
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Question # 19
(x + 2)
2
= x
2
+ 4x + 4 is
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A linear equation
A cubic equation
A quadratic equation
None
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Question # 20
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 21
Range of cos
θ
is
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Question # 22
The corner point of the boundary lines, x- 2x
x+2y=10 is:
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(8,1)
(1,8)
(6,10)
(3,5)
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Question # 23
The set (Z, +) forms a group
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Forms a group w.r.t addition
Forms a group w.r.t multiplication
Non commutative group w.r.t multiplication
Doesn't form a group
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Question # 24
The value of x and y when (x + iy)2 = 5 - 4i
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x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 25
Second derivative of y = x
9
+ 10x
2
+ 2x - 1 at x = 0 is
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10
20
12
1
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Question # 26
If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;
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Elevation
Depression
Right angle
None off these
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Question # 27
Sin -1 x=
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sin(π/2-x)
Sin-1 (π/2-x)
π/2-cos-1x
π/2 + cos-1x
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Question # 28
If the domain of sequence is finite set then the sequence is called
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geometric sequence
infinite sequence
finite sequence
arithmetic sequence
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Question # 29
The period of 2 cos x is
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30π
7π
5π
2π
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Question # 30
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Question # 31
The fifth term of the sequence a
n
= 2n + 3 is ______
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13
-13
8
3
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