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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
A point where two of its boundary lines intersect is called
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Corner point
Feasible point
Vertex
Feasible solution
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Question # 2
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(a + b)c = a . c + bc
a + b = b + a
(a + b) + c = a + (b + c)
a(b+ c) = ab + ac
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Question # 3
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Question # 4
How many signals can be given by 5 flags of different colours, using 3 flags at a time
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120
60
24
15
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Question # 5
The solution set of sin x + cos x = 0 is
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Question # 6
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Question # 7
The transport of a rectangular matrix is a
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Square matrix
Rectangular matrix
Row matrix
Column matrix
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Question # 8
if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is
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-i
2 + i
i
2 - i
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Question # 9
π is the ration of
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Area of a circle to its diameter
Area of a circle to its radius
Circumference of a circle to its diameter
Circumference of circle to its radius
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Question # 10
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a cosec(ax + b) + c
- a cosec(ax + b) + c
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Question # 11
Under multiplication, solution set of is
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Groupoid
Abelian group
Semi group
All of these
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Question # 12
The vertex of the graph of the quadratic function f(x) = x2 -10, is
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(0 , -10)
(-10,0)
(10,0)
(0,10)
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Question # 13
For a square matrix A, if A = At, then A is called
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Matrix
Transpose
Symmetric
Non-symmetric
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Question # 14
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Question # 15
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Question # 16
The set of points {(x,y)|y = f(x),∀x∈} is called
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Relation
Graph of f
Function
All are correct
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Question # 17
Group of none-singular matrices under multiplication is
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None-Abelian group
Semi group
Abelian group
None of these
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Question # 18
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Question # 19
For all points (x,y) in fourth quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 20
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I3
rI3
r
none
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Question # 21
The domain of an infinite sequence is a
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Set of natural numbers
R
Subset of N
None of the above
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Question # 22
The graph of y < 2 is the
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Left half plane
upper half plane
Right half plane
Lower half plane
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Question # 23
sin2 π/6 + sin2 π/3 + tan2 π/4 =______;
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1
2
3
4
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Question # 24
If a polynomial P(x) is divided by x + a, then the remiander is
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P(a)
P(-a)
P(0)
None of these
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Question # 25
2.333....is a
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Irrational no
Complex no
Rational no
None of these
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Question # 26
The distance of the point (a,b) from y-axis is
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a
b
a + b
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Question # 27
If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)
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f
1
C
0
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Question # 28
In R the right cancellation property w.r.t. addition is
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Question # 29
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0
1
-1
none of these
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Question # 30
The square root of every incomplete square is an
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Rational numbers
Even numbers
odd numbers
Irrational numbers
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Question # 31
If distance between (3,b) and (0,0) is 3 then b = _______
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3
9
0
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