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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If all members of a sequence are real numbers then it is called a
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Series
Function
Real sequence
Range
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Question # 2
If 3x
4
+ 4x
3
+ x - 5 is divided by x + 1, then the reminder is
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0
7
-7
5
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Question # 3
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5
10
20
30
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Question # 4
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Question # 5
The statement that a group can have more than one identity elements is
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True
False
Fallacious
Some times true
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Question # 6
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- cos x
sin x
- sin x
sec x
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Question # 7
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Imaginary
Rational
Irrational
Real numbers
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Question # 8
If |αi + (α+1)j +2k| =3 then value of α is
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1,2
-1,-2
1,-2
-1,2
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Question # 9
The sum of co-efficient in (1+x-3x
2
)
4163
is
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0
1
-1
None
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Question # 10
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 # 11
The additive inverse of a matrix A is
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None of these
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Question # 12
A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from
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X to X
X to Y
Y to X
none of these
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Question # 13
If the function y=2x -3, what is the preimage of 11?
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11
7
5
2
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Question # 14
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Question # 15
The point of concurrency of the medians of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 16
An equation of the form ax + by = k is homogeneous linear equation when
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b = 0, a = 0
a = 0,b ≠ 0
b = -0,a≠ 0
a≠ 0,b≠ 0, k = 0
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Question # 17
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 18
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Question # 19
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Question # 20
The set R is ______ w.r.t subtraction
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Not a group
A group
No conclusion drawn
Non commutative group
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Question # 21
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Rational
Irrational
Natural
Odd
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Question # 22
Tangent is ...............function
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Inverse
one-one
in-to
Periodic
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Question # 23
In natural logarithm the base is
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1
0
10
e
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Question # 24
Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is
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1/12
1/6
5/12
7/12
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Question # 25
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square root function
identity function
linear function
quadratic function
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Question # 26
(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio
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1:2
3:2
2:3
2:1
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Question # 27
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none of these
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Question # 28
The tangents drawn from the point P to a circle are real and distinct if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 29
There may be ______ feasible solution in the feasible region
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Infinite
Finite
Defined
None of above
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Question # 30
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0
1
-1
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Question # 31
π is ______
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A complex number
A rational number
A natural number
An irrational number
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