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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
A fraction in which the degree of the numerator is less the degree of the denominator is called
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Polynomial
Proper fraction
Rational fraction
None
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Question # 2
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Question # 3
If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is
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0
±1
±5
±7
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Question # 4
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 5
A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is
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50
25
10
100
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Question # 6
x =r cosθ,y= sinθ are the parametric equations of
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Circle
Ellipse
Parabola
Hyoerbola
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Question # 7
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Question # 8
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Question # 9
The roots of the equation ax
2
+ bx + c = 0 are real and equal 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 # 10
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x =0, y =4
x = -1, y = 2
x = 2, y = 3
x = 3, y = 4
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Question # 11
For the parabola the line through focus and perpendicular to the directrix is called
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Tangent
Vertex
Axis
None
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Question # 12
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a, b and c
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Question # 13
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One-one but not onto
One-one and onto
Onto but not one-one
Neither one-one nor onto
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Question # 14
A vector with magnitude one is called
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constant vector
unit vector
zero vector
null vector
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Question # 15
The quadratic formula is
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Question # 16
sin h x = ___________
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Question # 17
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Question # 18
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Question # 19
n!/(n-1)!=
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n
n!
(n-1)!
0!
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Question # 20
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none of these
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Question # 21
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Question # 22
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Question # 23
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Question # 24
If the cone is cut by a plane perpendicular to the axis of the conec, then the section is a:
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Circle
ellipse
hyperbola
parabola
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Question # 25
If a,b,c are unit vectors then |a + b|2 +|a - b|2
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4
8ab
9cos
4(a,b)
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Question # 26
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1
-1
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Question # 27
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 # 28
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Question # 29
If a set S contains n elements then P (S) has ........ number of elements
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2
n
2
n2
2.n
n
2
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Question # 30
Z is a group under
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Subtraction
Multiplication
Addition
None of these
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Question # 31
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X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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