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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The total cost of 2 apples and 3 oranges is $1.70, which of the following is true
Choose an answer
The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
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Question # 2
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 # 3
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Question # 4
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1
2
3
None of these
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Question # 5
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Question # 6
If cos 20°=K and cos x=2 k
2
-1, then the possible values of x between 0° and 360° are
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140°
50° and 140°
50° and 130°
40° and 320°
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Question # 7
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 # 8
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are real no
both are not real
are imaginary no
both are imaginary
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Question # 9
The vertex of the graph of the quadratic function f(x) = x2 -10, is
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(0 , -10)
(-10,0)
(10,0)
(0,10)
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Question # 10
sin (
α
+
β
) - sin (
α -
β
) =
Choose an answer
4 cos
α
sin
β
2 cos
α
sin
β
4 cos
α
cos
β
4 sin
α
sin
β
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Question # 11
The function sine and Cosine have the closed internal as their range
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[1, 0]
[-1, 1]
[0, 1]
[-1, 2]
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Question # 12
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Question # 13
The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is
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A parabola
A circle
An ellipse
A st. line
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Question # 14
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Question # 15
Choose an answer
6
20
0
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Question # 16
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 17
Which one is quadrantal angle
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8181710°
2345°
-8181180°
-2344°
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Question # 18
A prime number can be a factor of a square only if it occurs in the square at least
Choose an answer
Once
Thirce
Twice
None of these
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Question # 19
The distance of the point (1.1) from the origin is
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0
2
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Question # 20
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A
A'
U
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Question # 21
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Question # 22
What is the value of cos-1(1/2)?
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π/3
π/4
3π/2
π/6
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Question # 23
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k3
0
3k
k6
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Question # 24
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0
1
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Question # 25
Sec
-1
x =
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Cos
-1
1/x
cosec
-1
1/x
Cos
-1
(-x)
Tan
-1
x
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Question # 26
√2 +√3 +√5) = (√2 +√3 +√5: this property is called
Choose an answer
associative property w.r.t addition
commutative property
Closure property w.r.t addition
Additive identity
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Question # 27
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0
1
undefined
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Question # 28
Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then
Choose an answer
α = β
αβ = 1
α = β
α = 1
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Question # 29
For three consecutive terms in A.P middle term is called
Choose an answer
A.M
nth term
Central term
None of these
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Question # 30
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Question # 31
If f(x) = x
2
-x then f(0) is
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0
1
2
3
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