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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The number of permutations of n objects of which there are n
1
like of one kind, n
2
like of the second kind and n
3
like objects of third kind are
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Question # 2
f (x) = | x | is a/an
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Injective function
Bijective function
Surjective function
Implicit function
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Question # 3
0 (zero) is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 4
The sum of all even numbers less than 100 is
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2450
2352
2272
2468
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Question # 5
The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on
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ZOX plane
XOY plane
YOZ plane
None of these
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Question # 6
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 7
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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Parabola
Circle
Hyperbola
Ellipse
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Question # 8
A square matrix A = [aij] is lower triangular matrix when:
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aij = 0 for all i < j
bij = 0
cij = 0
dij =0
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Question # 9
The point on y
2
= 4ax nearest to the focus has its abciassae equal to
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-a
a
a/2
0
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Question # 10
The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is
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(0,0)
(1,1)
(2,2)
(3,3)
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Question # 11
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Question # 12
a >b, b >c ⇒a >c is a
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Multiplicative property
Additive property
Trichotomy property
Transitive property of inequality
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Question # 13
i =
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Question # 14
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Question # 15
Each point of the feasible region is called
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Solution
feasible solution
Both a & b
None
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Question # 16
cos (
α
-
β
) = cos
α
cos
β
+ sin
α
sin
β
is true for all
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α
>
β
> 0
α
>
β
β
>
α
None of these
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Question # 17
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Question # 18
14 is not a
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Prime number
Whole number
Even number
Real number
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Question # 19
If b
1
, b
2
, b
3
, ... are in G.P. with first term unity and common ratio r, then the minimum value of b
1
- b
3
+ b
5
is equal to
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3/4
1/4
1
None of these
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Question # 20
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36
360
24
6
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Question # 21
The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30° and 60° respectively. The height of the tower is
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10 m
15 m
20 m
None of these
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Question # 22
Tan 30° = _____
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Question # 23
0.25 is ______
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An irrational number
A natural number
A prime number
A rational number
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Question # 24
The solution of differential equation:
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dy/dx+y/x = x
2
is :
4xy = x
4
+ c
4x = x
4
= c
4 y = x
4
+ c
4x=4x
3
+ c
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Question # 25
Let S
n
denote the sum of the first n terms of an A.P. If S
2n
= 3 S
n
: S
n
is equal to
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4
6
8
10
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Question # 26
If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that
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x is function of y
y is a function of x
y is independent variable
x is real valued function
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Question # 27
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0
1
2
None of these
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Question # 28
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An expression
Rational fraction
Equation
Identity
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Question # 29
1+3x+6x2 +10x3 +....=
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(1+x)-3
(1-x)-2
(1-x)-3
(1+x)-2
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Question # 30
System of linear equation is inconsistent if
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System has no solution
System has one solution
System has two solution
None of above
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Question # 31
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