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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 2
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A natural number
A rational number
An irrational number
A whole number
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Question # 3
A function from X to Y is written as
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f : X to Y
f : Y to Y
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Question # 4
Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is
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14 / 29
20 / 39
1 / 2
n
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Question # 5
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Question # 6
The polar form of complex number x ≠ I y =
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r cos θ+ r sin θ
r cos θ+ is sin θ
cos θ+ r sin θ
i cos θ+ i sin θ
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Question # 7
The range of inequality x + 2 > 4 is
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(-1, 2)
(-2, 2)
(1,
∞
)
None
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Question # 8
The end points of the major axis of the ellipse are called its
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Foci
Vertices
Co - vertices
None of these
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Question # 9
Express the perimeter P of square as a function of its area A?
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P = 4√A
P =√A
P = 2A
P =π√A
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Question # 10
The law of sines can be used to solve
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Right angle triangle
Isosceles triangle
oblique triangle
haxagon
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Question # 11
The coefficient of the second term of (a+b)
4
is
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1
9
3
5
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Question # 12
What is the period of cos 6x =?
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π/2
π/3
π/4
π
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Question # 13
A∪(A∪B)= --------------------
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B
A
A∪B
None of these
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Question # 14
The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is
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Question # 15
Every identity matrix is
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Row-vector
Scalar
Column-vector
All
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Question # 16
Which of the following is a scalar.
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electric field
magnetic field
weight
mass
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Question # 17
The equation of the line perpendicular to x- axis and passing through (-5,3) is
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y -3 =0
x+ 3 =0
y- 3 =∞
x +5 =0
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Question # 18
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 19
f(x) = 3x
4
-2x
2
+ 7 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 20
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Question # 21
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Question # 22
The√ is used for the
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Positive square root
Negative square root
+ve and -ve square root
Whole number
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Question # 23
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2
-2
none of these
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Question # 24
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x
-2
+ c
not possible
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Question # 25
A non-homogeneous linear system AX = B has no solution if
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|A| = 0
|A|≠ 0
Rank (a) = no of variables
Rank > no of variables
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Question # 26
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 27
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x
y
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Question # 28
A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is
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Question # 29
Tan 2
θ=
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Question # 30
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2
2
- n - 1
1 - 2
-n
n + 2
-n
-1
2
n
- 1
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Question # 31
A fraction in which the degree of the numerator is less than the degree of the denominator is called
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Polynomial
Equation
Proper fraction
Improper fraction
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