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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
A fraction in which the degree of the numerator is less than the degree of the denominator is called
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Polynomial
Equation
Proper fraction
Improper fraction
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Question # 3
A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is
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73 / 120
83 / 120
67 / 120
43 / 120
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Question # 4
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None of these
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Question # 5
sin (
α +
β)=
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sin
α
cos
β
- cos
α
sin
β
sin
α
cos
β
- cos
α
sin
β
sin
α
cos
α
- cos
β
sin
β
sin
α
cos
α
+ cos
β
sin
β
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Question # 6
The roots of the equation ax
2
+ bx + x = 0 are real and distinct if
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b
2
- 4ac <0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 7
The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is
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x+ y+ 1= 0
x+ y- 2= 0
x+ y+ 2= 0
2x +y +2 =0
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Question # 8
(n + 2) (n + 1)n in factorial form is
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Question # 9
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0
undefined
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Question # 10
√x = ______ if is a prime number
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Rational no
Natural no
Irrational no
Complex no
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Question # 11
The period of the function csc x/4 us
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4x
π/4
8π
π/8
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Question # 12
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Reflexive property
Symmetric property
Transitive property
Additive property
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Question # 13
The lotus of intersection of perpendicular tangents to the parabola y
2
= 4ax is:
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Axis of the parabola
Focal chord of the parabos
The tangent at vertex of the parabola
a directrix of the parabola
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Question # 14
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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 # 15
The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is
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x
2
+ y
2
+ z
2
+ ax + by + cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2 cz = 0
x
2
+ y
2
+ z
2
= a + b + c
x
2
+ y
2
+ z
2
- ax - by - cz =0
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Question # 16
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Question # 17
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Question # 18
Archimedes approximate the function by horizontal function and the area under f by the sum of small
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Parallelograms
Squares
Retangles
Polygons
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Question # 19
In a triangle if a > 45°,β > 30° then y cannot be
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90°
100°
10°
120°
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Question # 20
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 # 21
The behavior of trigonometric function is called
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Continuity
Discontinuity
Periodicity
Smoothness
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Question # 22
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Question # 23
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Question # 24
The number of terms in the expansion of (a + x)
12
is
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13
12
11
10
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Question # 25
The null vector is regarded to be perpendicular to
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Every vector
In some cases
Both a b
None
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Question # 26
A function whose range is just one element is called
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One-one function
Constant function
Onto function
Identity function
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Question # 27
The set { {a, b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 28
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
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9998
9999
10000
None of these
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Question # 29
sin (
α
+
β
) + sin (
α
-
β
)
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2 sin
α
cos
β
sin (2
α
β)
sin
α
cos
α
None of these
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Question # 30
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Question # 31
A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string
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62m
82m
73m
57m
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