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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
The tangents drawn from the point P to a circle are real and coincident if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 4
If z
1
= 1 + 2i, z
2
= 3 + 4i then
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z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 5
If a > 0, b > 0, c > 0, then the roots of the equation ax
2
+ bx + c = 0 are
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Real and negative
Non-real with negative real parts
Real and positive
Nothing can be said
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Question # 6
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Question # 7
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Question # 8
If C is the mid point of AB and P is any point outside AB, then
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Question # 9
The polynomial x - a is a factor of the polynomial f(x) if and only if
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f(a) is positive
f(a) is negative
f(a) = 0
None of these
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Question # 10
The value of the expression sin
θ
+ cos
θ
lies between
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Question # 11
The number of combinations of 10 different objects taken 8 objects at a time is
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90
45
55
50
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Question # 12
(a +b
i
) -c (c +d
i
) =
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(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 13
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Question # 14
The number of standard parabolic functions are is
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4
2
3
1
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Question # 15
The only function which is both even and odd is
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f(x) =α
f(x) = x
f(x) =0
Both A & B
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Question # 16
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Question # 17
Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 18
1
0
= ______
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360'
60"
60'
3600'
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Question # 19
A sequence is a functions whose domain is a subset of the set of
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Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 20
If a set S contains "n" elements then P (S) has ...... number of elements
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2
n
2
2n
2 . n
n
2
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Question # 21
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12
13
14
15
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Question # 22
The solution set of the equation |3x + 2| = 5 is
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Question # 23
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Question # 24
In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is
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2 / 5
3 / 5
4 / 5
None of these
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Question # 25
0.25 is ______
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An irrational number
A natural number
A prime number
A rational number
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Question # 26
Coordinates of the focus of the parabola x
2
- 4x -8y-4=0 are:
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(0,2)
(,0,1)
(2,0)
(1,2)
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Question # 27
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Question # 28
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Question # 29
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0
20
90
80
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Question # 30
Decimal part of irrational number is
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Terminating
Repeating only
Neither repeating nor terminating
Repeating and terminating
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Question # 31
The quadratic equation 8 sec
2
θ
- 6 sec
θ
+1 = 0 has
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Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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