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ECAT Mathematics Online Test MCQs With Answers
Question # 1
When rational fraction is separated into partial fractions, the result is
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an identity
A fraction
A partial sum
Improper fraction
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Question # 2
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2 b
2 a
2 ab
a + b
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Question # 3
∀a,b,c∈R and c>0,then
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a>b ⇒ ac < bc
a>b ⇒ ac > bc
a<b ⇒ ac > bc
None of these
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Question # 4
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0
1
-A
-1
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Question # 5
The sum of complex number (a,b) and (c,d) is
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Question # 6
The number of standard parabolic functions are is
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4
2
3
1
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Question # 7
If n is not natural number, then the expansion (1 + x)
n
is valid for
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Question # 8
The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is
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32
16
18
8
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Question # 9
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Question # 10
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Question # 11
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 # 12
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additive property
multiplicative property
additive identity
multiplicative identity
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Question # 13
If a 1-1 correspondence can be established b/w two sets A and B, then they are called
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Equal sets
Equivalent sets
Over lapping sets
None of these
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Question # 14
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Question # 15
The equation of the directrix of the parabola x
2
= 4ay is
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x + a = 0
x - a = 0
y + a = 0
y - a = 0
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Question # 16
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 17
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 18
sin(π+θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 19
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Question # 20
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Question # 21
In R the right cancellation property w.r.t. addition is
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Question # 22
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1
0
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Question # 23
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Question # 24
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Question # 25
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Question # 26
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 27
If a parabola opens down, then its vertex is at the
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Right of the parabola
Left of parabola
Lowest point on the parabola
Highest point on the parabola
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Question # 28
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3/8
7/8
1/8
None
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Question # 29
Probability of an impossible event is
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0
-1
1
∞
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Question # 30
Range of cot
θ
is
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(+
∞
to -
∞
)
(-1 to +1)
(-5 to +5)
Set of even numbers only
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Question # 31
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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