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ECAT Mathematics Online Test MCQs With Answers
Question # 1
A rule that assigns to each elements x in X a unique element y in Y is called a ____________
Choose an answer
domain
range
function
none of these
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Question # 2
Which is an explicit function
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y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 3
f(x) = x is
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trigonometric function
exponential function
quadratic function
identify function
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Question # 4
Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by
Choose an answer
46
60
50
70
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Question # 5
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Question # 6
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Question # 7
The set of natural no. is closed under
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multiplication
subtraction
difference
division
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Question # 8
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1, 2, 3
1, 5, 9
2, 5, 8
3, 6, 9
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Question # 9
The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is
Choose an answer
x
2
+ y
2
+ z
2
+ 2 ax +2 by + 2cz = 0
x
2
+ y
2
+ z
2
- 2ax - 2 by - 2cz = 0
x
2
+ y
2
+ z
2
- ax - by - cz = 0
x
2
+ y
2
+ z
2
+ ax + by + cz = 0
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Question # 10
What is the circular measure of the angles between the hands of which at 4 o clock
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π/6
3π/2
π/4
2π/3
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Question # 11
If one root of the equation x
2
- 3x + a = 0 is 2 then a = ______
Choose an answer
0
1
2
3
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Question # 12
In the expansion of (a + x)
n
the general term T
r + 1
is
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Question # 13
If distance of (a,b) from origin is 5 then
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a
2
+ b
2
=5
a = 5
b = 5
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Question # 14
The maximum value of sin x + cos x is
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Question # 15
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Question # 16
Choose an answer
Associative property of addition
Associative property of multiplication
Commutative property of addition
Commutative property of multiplication
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Question # 17
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Question # 18
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Question # 19
1 radian = _____
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60°
57.296°
57.2°
180°
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Question # 20
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 # 21
The series obtained by adding the terms of an arithmetic sequence is called the
Choose an answer
Infinite series
Harmonic series
Geometric series
Arithmetic series
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Question # 22
If the roots of ax
2
+ b = 0 are real and distinct then
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ab > 0
a = 0
ab < 0
a > 0, b > 0
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Question # 23
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Question # 24
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Question # 25
Ifπ≤x≤2π, then cos-1 (cos x)=
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cos x
-x
1/x
-x
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Question # 26
In one hour, the minute hand of a clock turns through
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Question # 27
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Question # 28
The first three terms in the expansion of (1 - x)
-2
are
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 - 2x +3x
2
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Question # 29
Every set is an improper subset of
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Empty set
Equivalent set
Itself
Singleton set
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Question # 30
The set of whole numbers is subset of
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The set on integers
The set of natural numbers
{1, 3, 5, 7, ....}
The set of prime numbers
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Question # 31
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