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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
Choose an answer
Corner point
Feasible point
Vertex
Feasible solution
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Question # 2
If the function y=2x -3, what is the preimage of 11?
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11
7
5
2
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Question # 3
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Additive property of inequality
Commutative property
Additive inverse
Additive identity
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Question # 4
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Question # 5
Tan 2
θ=
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Question # 6
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Question # 7
Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0
Choose an answer
Touch externally
Touch internally
Intersects each other
Do not intersects
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Question # 8
Roots of the equation 9x
2
- 12x + 4 = 0 are
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Real and equal
Real and distinct
Complex
None of these
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Question # 9
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2
-2
none of these
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Question # 10
π
is the period of the function
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|sin x| + |sin x|
sin
4
x + cos x
sin (sin x) + sin (cos x)
None of these
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Question # 11
If x
3
+ 4x
3
- 2x +5 is divided by x - 1, then the reminder is
Choose an answer
8
6
4
None of these
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Question # 12
The equation of the normal to the circle x
2
+ y
2
= 25 at (4, 3) is
Choose an answer
3x - 4y =0
3x - 4y =5
4x + 3y = 5
4x + 3y = 25
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Question # 13
2.333....is a
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Irrational no
Complex no
Rational no
None of these
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Question # 14
The graph of linear equation 2x + 3y = 10
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Parabola
Circle
Hyperbola
Straight line
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Question # 15
The n numbers A
1
,A
2
,A
3
,.....A
n
are called an arithmetic means between a and b if a.A
1
,A
2
,A
3
.....A
n
, b is ______
Choose an answer
An arithmetic series
An arithmetic sequence
A geometric sequence
A harmonic sequence
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Question # 16
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Question # 17
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Question # 18
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Question # 19
The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3
Choose an answer
5,3
5,-3
5,0
10,0
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Question # 20
If the distance of any point on the curve from any of the two lines approaches zero then it is called
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Axis
Directrices
Asymptotes
None
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Question # 21
No term of a harmonic sequence can be
Choose an answer
0
1
2
3
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Question # 22
A function from X to X is denoted as
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f : X to Y
f : Y to Y
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Question # 23
If f (x) = |x|, then (0,0) is the
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Critical point
Inflection point
Stationary point
None of these
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Question # 24
Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when
Choose an answer
q = 0, r = 0,p ≠ 0
p = 0,qr≠ 0
r = 0,pq≠ 0
q = 0, pq≠ 0
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Question # 25
Choose an answer
0
1
-1
None of these
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Question # 26
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Question # 27
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Question # 28
A function from X to Y is written as
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f : X to Y
f : Y to Y
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Question # 29
The distance between the points A(3,1) and B(-2,-4) is
Choose an answer
5
25
10
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Question # 30
Which of the following has the same value as i
113
?
Choose an answer
i
-1
-i
1
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Question # 31
The term involving x
4
in the expansion (3-2x) is
Choose an answer
217x
4
15120x
4
313x
4
-25x
4
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