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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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2x - 3x + c
x
2
- 3x + c
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Question # 2
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Question # 3
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 4
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A = x, B = 1
A = 0, B = 2
A = -1, B = 1
A = x-1, B = x + 1
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Question # 5
If 4 > b or a < b than a = b is a
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Additive property
Transitive property
Trichotomy property of inequality
None of above
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Question # 6
The solution set of trigonometric equation contains
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one element
two elements
three elements
Infinite elements
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Question # 7
The matrix A = [aij]1xn is a
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Vector
Rectangular matrix
Column vector
Square matrix
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Question # 8
A polynomial of arbitrary degree
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f(x) = o
f(x) = x
f(x) = a
f(x) = ax + b,a ≠ 0
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Question # 9
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 10
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Question # 11
The transpose of a column matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 12
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 # 13
F(x) = x
x
decreases in the interval
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(0, e)
(0, 1)
(-
∞
,0)
None
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Question # 14
How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5
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720
600
120
6-5!
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Question # 15
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Question # 16
Which is not included in the domain of cos
-1
x
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0
1
-1
2
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Question # 17
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 18
If Sn is a definite number as n → ∞,then the geometric series is
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Convergent
Divergent
Oscillatroy
None of these
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Question # 19
If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:
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10
5
0
20
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Question # 20
If for two events A and B , P(A∪B)=1,then events A and B are
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Certain events
Mutually exclusive
Complementary events
Independent
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Question # 21
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Question # 22
(n + 2) (n + 1) n= ______
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Question # 23
There are two middle terms in the expansion of (a+x)n if n is
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Even +ve integer
+ve integer
Odd +ve integer
All
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Question # 24
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Question # 25
The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by
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2, -3, 4
6, -4, -3
6, -4, 3
3, -2, 1.5
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Question # 26
Z is a
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Infinite set
Finite set
Singleton set
Set of all integers
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Question # 27
Domain of 1+cot2θ=csc2θ is
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[0,π]
R-{x/x=nπ,n∈ z}
(-∞,+∞)
[-1,1]
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Question # 28
Period of tan x is ______
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Question # 29
n!/(n-1)!=
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n
n!
(n-1)!
0!
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Question # 30
If the circle x
2
+ y
2
+ 2gx +2fy + c = 0 passes through the origin then
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c = 0
c = -1
c = -2
c = 1
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Question # 31
Identity w.r.t intersection in a power set of any set is
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∅
Set itself
Singleton set
{0}
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