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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
If f(x) = ax
2
, and a>0, then the lowest point on the parabola is called.
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Vertex of parabola
Co-ordinates of parabola
Roots of the equation
Coefficient of the equation
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Question # 2
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Question # 3
If the roots of ax
2
+ b = 0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0, b > 0
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Question # 4
Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is
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k = 9
k = ±9
k=-9
k=11
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Question # 5
The length of perpendicular from (3,1) to 4x +3y +20 =0 is
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6
7
3
8
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Question # 6
The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is
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1/5
2/5
1/10
3/10
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Question # 7
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None of these
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Question # 8
The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is
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Question # 9
i
=
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√1
√2
√-2
√-1
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Question # 10
f(x) = 3x/x
2
+ 1 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 11
Any whole number can be written as a product of factors which are
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Even number
Odd numbers
Prime number
Rational number
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Question # 12
The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is
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2:3
-2:3
3:2
-3:2
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Question # 13
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Question # 14
If a is any real number and a = a is called
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symmetric property
Trichotomy Properties
Transitive Property
Reflexive Properties
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Question # 15
5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is
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1 / 32
31 / 32
1 / 16
None of these
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Question # 16
The set {Z\{0}} is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 17
The third term of the sequence a
n
= (-1)
n-1
(n-7) is ______
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8
4
-4
8
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Question # 18
System of linear equation is inconsistent if
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System has no solution
System has one solution
System has two solution
None of above
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Question # 19
The law of cosines reduces to a2 +c2 =b2 for
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α = 90°
β = 90°
γ = 90°
α +β +γ =180°
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Question # 20
If ΔABC is right triangle then the law of Cosines reduces to
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The Pythagoras Theorem
The law of Sines
The law of cosines
The law of tangents
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Question # 21
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 22
If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______
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Question # 23
O is ______
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A positive integer
A negative integer
A natural number
An integer
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Question # 24
The angles with some initial and terminal sides are called
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Quadrantal angles
Coterminal angles
Allied angles
None
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Question # 25
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 26
The vertex of the equation y
2
= 4ax is:
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(2, -2)
(1,1)
(0 , 0)
(2 , 2)
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Question # 27
Which of the following is a vector.
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work
time
density
electric field
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Question # 28
The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is
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191
193
211
None of these
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Question # 29
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Reflexive property
Symmetric property
Transitive property
Additive property
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Question # 30
The period of|sin2x| is
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π/2
-π/2
π
π/3
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Question # 31
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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