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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The general term of a sequence is denoted by
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a
1
a
n
n
s
n
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Question # 2
The factorial of a positive integers is a (an)
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Rational number
Positive integer
Real number
None
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Question # 3
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 4
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Null matrix
Triangular matrix
Unit matrix
Rectangular matrix
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Question # 5
i
2
=
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1
2
-1
0
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Question # 6
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 # 7
Period of cos 2x is ______
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Question # 8
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Question # 9
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Question # 10
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Question # 11
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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Question # 12
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Question # 13
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Question # 14
The graph of linear equation 2x + 3y = 10
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Parabola
Circle
Hyperbola
Straight line
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Question # 15
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Always negative
Zero
Always positive
Infinity
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Question # 16
Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is
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-a
a +1
-1-a
None of these
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Question # 17
Inequalities have ______ symbol
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2
3
4
1
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Question # 18
If a 1-1 correspondence can be established b/w two sets A and B, then they are called
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Equal sets
Equivalent sets
Over lapping sets
None of these
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Question # 19
A circle passing through the vertices of any triangle is called ______
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In circle
Circum circle
Escribed circle
None of these
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Question # 20
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Question # 21
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Imaginary
Rational
Irrational
Real numbers
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Question # 22
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 23
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Question # 24
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0
1
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Question # 25
Range of sec
θ
is
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Z - {x | -1 < x < 1}
W - {x | -1 < x < 1}
R - {x | -1 < x < 1}
R
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Question # 26
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The law of consines
The law of sines
The law of tangents
None of these
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Question # 27
A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is
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(11/16)
2
(5/16)
2
(11/16)
4
(5/16)
4
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Question # 28
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A natural number
A rational number
An irrational number
A whole number
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Question # 29
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 # 30
The point R dividing externally the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) in the ratio k
1
: k
2
has the coordinates
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Question # 31
The angles with some initial and terminal sides are called
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Quadrantal angles
Coterminal angles
Allied angles
None
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