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ECAT Mathematics Online Test MCQs With Answers
Question # 1
i
-(4n+2)
= -------------------------------
Choose an answer
1
i
-1
-i
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Question # 2
The set of natural numbers is a subset of
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{1, 2, 3, .... 100}
The set of whole numbers
{2, 4, 6, 8, .....}
None of these
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Question # 3
The roots of the equation x2 +6x-7=0,are
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1
2
1 and -7
-7
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Question # 4
Cosec 60° = ______
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Question # 5
The mid point of the line segment joining the points (3,-1) and (-3,1) is
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(3,-1)
(0,0)
(2,2)
(4,4)
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Question # 6
2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called
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Associative property
Identity property
Commutative property
Closure property w.r.t multiplication
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Question # 7
Area bounded between the curve xy=2 and the lines x=1 and x=2
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ln2 square units
ln√2 square units
ln4 square units
Square units
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Question # 8
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Question # 9
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A parabola
An ellipse
A hyperbola
A circle
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Question # 10
The general value of
θ
satisfying the equation 2 sin
2
θ
- 3 sin
θ
-2 = 0 is
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Question # 11
0! = ______
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0
1
2
Not defined
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Question # 12
In R the left cancellation property w.r.t addition is
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Question # 13
A square matrix all of whose elements except the main diagonal are zeros is called a
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Null matrix
Singular matrix
Symmetric matrix
Diagonal matrix
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Question # 14
The set of complex numbers forms a group under the binary operation of
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Addition
Multiplication
Division
Subtraction
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Question # 15
The fixed point from which all the points of a circle are equidistant is called the
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chord of the circle
centre of the circle
diameter of the circle
radius of the circle
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Question # 16
For all points (x,y) in first quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 17
A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is
Choose an answer
1 / 729
1 / 24
1 / 21
2 / 7
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Question # 18
Choose an answer
Associative law of multiplication
Commutative law of addition
Commutative law of multiplication
Associative law of addition
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Question # 19
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
Choose an answer
2 / 5
3 / 5
4 / 5
None of these
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Question # 20
The value of cos(cos-1 1/2) is
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1/2
√3/2
-1/2
1/√2
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Question # 21
For trival solution |A| is
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A
|A| is non zero
A = 0
None of these
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Question # 22
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Question # 23
{x : xε Z and x < 1} is
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Singleton set
A set with two points
Empty set
None of these
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Question # 24
n different objects can be arranged taken all at a time in ______
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(n + 1)! ways
(n - 1)! ways
n! ways
n ways
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Question # 25
The equation of the circle witch centre (-3, 5) and radius 7 is
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(x-3)
2
+ (y+5)
2
= 7
2
(x-3)
2
+ (y-5)
2
= 7
2
(x+3)
2
+ (y+5)
2
= 7
2
(x+3)
2
+ (y-5)
2
= 7
2
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Question # 26
The additive identity of real number is
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1
2
1/2
0
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Question # 27
x = r2, y = 1 are the parametric equation of
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Circle
Hyperbola
Ellipse
Parabola
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Question # 28
Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
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(1,4)
(4,2)
(3,1)
(4,1)
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Question # 29
For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0
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k=0
k=0 or 26
k = 26
k=-13
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Question # 30
The set of natural is a semi group w.r.t
Choose an answer
Addition
Division
Subtraction
None of these
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Question # 31
What is the circular measure of the angle between the hands of a watch at 4 O'clock
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