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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Sin h
-1
x = _________
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Question # 2
In quadratic equation y=ax
3
+bx+c, if b and c are both zero then the graph is
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Symmetric w.r.t.y-axis
Symmetric w.r.t.x-axis
Straight Line
Circle
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Question # 3
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Question # 4
14 is not a
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Prime number
Whole number
Even number
Real number
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Question # 5
The sum of all positive integral multiple of 5 less than 100 is
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950
760
1230
875
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Question # 6
sn (2sin-10.8)
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0.56
0.69
-0.16
0.96
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Question # 7
∫Sec
2
(ax + b) dx is equal to:
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tan
2
(ax + b)
1/a tan
2
(ax + b)
1/atan (ax +b)
tan (ax + b)
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Question # 8
The length of the tangent from (2, 1) to the circle x
2
+ y
2
+ 4y + 3 = 0 is
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Question # 9
The decimal fraction in which we have finite number of digits in its decimal part is called.
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recurring decimal fraction
Non terminating faction
Non recurring fraction
terminating decimal fraction
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Question # 10
y=-a is the equation of the directrix of
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y2 =4ax
x2=-4ay
x2=4ay
y2=-4ax
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Question # 11
A diagonal matrix is always
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Identity
Triangular
Scalar
Non-singular
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Question # 12
What is the period of sin 2x/3 cos 4x=?
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π
2π
π/2
π/3
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Question # 13
A and B throw a dice. The probability that A's throw is not greater then B's is
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5 / 12
7 / 12
1 / 6
1 / 2
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Question # 14
If a,b c are sides of a triangle taken in order then a x b =
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b x c
b x a
cxa
Both a & b
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Question # 15
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 16
The value of sin
-1
5/13 is equal to
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Cos 5/13
Tan
-1
5/12
cos
-1
5/12
2 cos
-1
4/5
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Question # 17
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Question # 18
tan h x = _________
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Question # 19
The number of permutations of n objects of which there are n
1
like of one kind, n
2
like of the second kind and n
3
like objects of third kind are
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Question # 20
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5
15
10
20
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Question # 21
Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:
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Zero
one
negative constant
Non negative constant
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Question # 22
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Question # 23
The solution set of sin x + cos x = 0 is
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Question # 24
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Question # 25
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Question # 26
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-3 -2i
3 +2i
1 + 2i
1 - 2i
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Question # 27
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Question # 28
To express a single rational fraction as a sum of two or more single rational fractions which are called
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improper fractions
Partial fractions
mixed form
Polynomials
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Question # 29
Geometrically, the modulus of a complex number represents its distance from the
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Point (1, 0)
Point (0, 1)
Point (1, 1)
Point (0, 0)
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Question # 30
A function F(x) is called even if
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F(x) = F (-x)
F(x) = F(-x)
F(x) = -F(x)
2F(x) = 0
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Question # 31
The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is
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3
2
1
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