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ECAT Mathematics Online Test MCQs With Answers
Question # 1
A function in which the second elements of the order pairs are distinct is called
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Onto function
One-one function
Identity function
Inverse function
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Question # 2
Z is a
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Infinite set
Finite set
Singleton set
Set of all integers
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Question # 3
If the roots of ax
2
- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is
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Question # 4
w
11
= ______
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0
1
w
w
2
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Question # 5
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 # 6
Domain of 2 cos x is ______
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[-2, 2]
R
Negative real numbers
None of these
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Question # 7
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none of these
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Question # 8
The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is
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32
16
18
8
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Question # 9
If the exponent in the binomial expansion is 6, then the middle term is
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2nd term
3rd term
4th term
5th term
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Question # 10
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Question # 11
∛8.6 is approximately equal to
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2.488
2.48
2.0488
2.05
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Question # 12
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Question # 13
The set {Z\{0}} is group w.r.t
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Addition
Multiplication
Division
Subtraction
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Question # 14
1 + 2 + 3 + ...... + n = ______
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Question # 15
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 # 16
If a
1
= 3, r = 2, then the nth term of the G.P. is
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2.3
n-1
3.2
n
3.2
n+1
3.2
n-1
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Question # 17
Period of cos x is _____
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Question # 18
If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is
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Obtuse
Acute
Right angle
Isosceles
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Question # 19
f(x)g(x)- ∫g(x) f′(x) dx is equal to
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∫f(x)g′(x)dx
∫f′(x)g(x)dx
∫f′(x)g(x)′dx
∫f(x)g(x)dx
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Question # 20
The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a
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Square
Parallelogram
Rectangle
Rhombus
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Question # 21
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Question # 22
an - an-1 will be common difference in an A.P if
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n = 1∀n∈ N
n>1∧n∈N
n∈Z
None of the above
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Question # 23
The distance of point P(x,y) from focus in a parabola
y
2
=4ax, is:
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2a
a
x + a
x-a
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Question # 24
If sin A = cos A, 0°<A<90° then A is equal to
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1
1/2
0
None of these
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Question # 25
In R, the additive inverse of a is
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0
1
-a
1/a
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Question # 26
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Question # 27
0! = ______
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0
1
2
Not defined
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Question # 28
There are ______ types of rational fraction
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Three
Four
Five
Two
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Question # 29
(A∪B)∪C= --------------------------
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A∩B(B∪C)
A∪(B∪C)
A∪(B∩C)
None of these
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Question # 30
Number of ways of writing the letters of WORD taken all at a time is
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24
4
12
6
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Question # 31
Union of the sets of rational and irrational numbers is called 6th set of
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Natural numbers
Real numbers
Whole numbers
Prime numbers
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