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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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0
2
4/3
5/3
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Question # 2
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2
4
8
12
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Question # 3
For three consecutive terms in A.P middle term is called
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A.M
nth term
Central term
None of these
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Question # 4
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 5
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None of these
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Question # 6
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Question # 7
Which of the following statement is true?
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A set is a collection of non-empty object
A set is a collection of only numbers
a set is any collection of things
a set is well-defined collection of objects
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Question # 8
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a
2a
3a
4a
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Question # 9
The distance of the point (2.3) from x-axis is
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2
3
5
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Question # 10
The direction cosines of y-axis are
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1, 0, 0
0, 1, 0
0, 0, 1
1, 1, 1
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Question # 11
For all positive integral value of n,3
n
< n! , when
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n> 6
n< 6
n<11
n>11
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Question # 12
The distance of the point (-2 , 3) from y-axis is
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2
-2
3
1
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Question # 13
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Question # 14
The period sin
2
θ
is
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π
2
π
2
π
π/2
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Question # 15
The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are
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Question # 16
The period of tan x/7 is
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3π
7π
15π
5π
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Question # 17
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0
20
90
80
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Question # 18
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 19
√23 is
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A rational number
A irrational number
An even integer
A factor of 36
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Question # 20
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 21
All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is
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NAAGI
NAAIG
IAANG
INAGA
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Question # 22
Domain of sec x is ______
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Question # 23
Ifπ≤x≤2π, then cos-1 (cos x)=
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cos x
-x
1/x
-x
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Question # 24
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I
|A|
|A| I
None of these
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Question # 25
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Reflexive property
Symmetric property
Transitive property
Additive property
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Question # 26
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Question # 27
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Question # 28
The roots of (x - a)(x - b) = ab x2 are always
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Real
Depends upon a
Depends upon b
Depends upon a and b
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Question # 29
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
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r
2
2 r
2
3 r
2
4 r
2
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Question # 30
The square root of every incomplete square is an
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Rational numbers
Even numbers
odd numbers
Irrational numbers
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Question # 31
Range of cosec
θ
is
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W - {y | -1 < y < 1}
R - {y | -1 < y < 1}
O - {y | -1 < y < 1}
R
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