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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Does not exist because f is unbounded
Is not attained even though f is bounded
Is equal to 1
Is equal to -1
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Question # 2
A subset of set of complex number whose elements are of the form (a,0) is called
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Real number
Complex number
Rational number
Irrational number
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Question # 3
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 # 4
The set {-1,1} is closed under the binary operation of
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Addition
Multiplication
Subtraction
Division
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Question # 5
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8
1/56
56
None of these
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Question # 6
If (x
1
, y
1
) and (x
2
,
y
2
) are the end points of a diameter then the centre of the circle is
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Question # 7
[i,j,k]
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0
2
1
-2
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Question # 8
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Question # 9
There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is
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7 / 25
9 / 25
11 / 25
None of these
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Question # 10
sin
-1
[-1/2] = ______
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Question # 11
The equation |x + 4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 12
Which one is quadrantal angle
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8181710°
2345°
-8181180°
-2344°
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Question # 13
The point of concurrency of the right bisectors of the sides of a triangle is called
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incentre
circum center
e-center
centroid
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Question # 14
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Question # 15
A sequence is a function whose domain is
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N
Subset of N
R
None of these
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Question # 16
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Question # 17
If the intersection of two sets is non-empty, but either is a subset of other are called
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Disjoint sets
Over lapping
Equal sets
None of these
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Question # 18
Every whole number is
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A real number
An irrational number
A prime number
A negative integer
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Question # 19
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In f(x) + c
f(x) - c
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Question # 20
The distance of the point (2,3) from y-axis is
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2
3
5
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Question # 21
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
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Question # 22
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An expression
Rational fraction
Equation
Identity
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Question # 23
1/3 is ______
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A prime number
An integer
A rational number
An irrational number
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Question # 24
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15/23
7/15
7/8
15/7
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Question # 25
The common ration of a geometric sequence cannot be
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0
1
2
3
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Question # 26
The set of complex numbers forms a group under the binary operation of
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Addition
none of these
Division
Subtraction
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Question # 27
(n + 2) (n + 1) n= ______
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Question # 28
The unit vector along y-axis is
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none of these
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Question # 29
Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:
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Zero
one
negative constant
Non negative constant
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Question # 30
If a polynomial P(x) is divided by x - a, then the remainder is
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P(o)
P(-a)
P(a)
None of these
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Question # 31
The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is
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260
356
410
96
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