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ECAT Mathematics Online Test MCQs With Answers
Question # 1
A vector of magnitude zero is called
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Position vector
Null vector
Free vector
None of these
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Question # 2
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0.9
0.74
0.2016
None of these
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Question # 3
If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a
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Constant function
Variable value
Function of upper limit
All
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Question # 4
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 5
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Question # 6
The factorial of a positive integers is a (an)
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Rational number
Positive integer
Real number
None
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Question # 7
In R the right cancellation property w.r.t. addition is
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Question # 8
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Question # 9
n
2
- 1 divisible by 8 when n is
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an odd integer
an even integer
Irrational
Prime Number
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Question # 10
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In f(x) + c
f(x) - c
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Question # 11
If a, b, c are in AP., a, b, c are in G.P. then A, m
2
b, c are in
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A.P.
G.P.
H.P.
None of these
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Question # 12
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Question # 13
Cos (
α
+
β
) - cos (
α
-
β
) =
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-2 sin
α
sin
β
2 sin
α
cos
β
-2 sin
α
cos
α
4 sin
α
cos
β
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Question # 14
The maximum value of the quadratic function f(x) = 2x2-4x+7,is
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3
5
-3
-5
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Question # 15
A triangle has ____ elements
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3
4
5
6
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Question # 16
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Question # 17
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Question # 18
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Question # 19
ᵨ is a
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variable
Positive constant
Positive variable
Directrix
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Question # 20
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Question # 21
tan (
π
-
θ
) = ______
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- sin
θ
- tan
θ
- cos
θ
- cot
θ
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Question # 22
The centre of the conic x2 +16x +4y2 -16y +76 =0 is
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(0,10)
(-8,4)
(-8,-2)
(1,1)
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Question # 23
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The law of sines
The law of tangents
The pythagorus theorem
None of these
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Question # 24
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Question # 25
2x = 3 is a conditional equation it is true for
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2
3
3/2
2/3
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Question # 26
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Question # 27
If x
2
+ px + 1 is a factor of ax
3
+ bx +c, then
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a
2
+ c
2
= -ab
a
2
- c
2
= -ab
a
2
- c
2
= ab
None of these
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Question # 28
A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is
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1 / 500
1 / 504
1 / 252
1 / 250
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Question # 29
The product of the four fourth roots of unity is
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0
1
-1
None of these
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Question # 30
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x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ c
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Question # 31
If n is any positive integer then n! > n
2
for
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