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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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A is proper subset of B
A is an improper subset of B
A is equivalent to B
B is subset of A
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Question # 2
The difference of two consecutive terms of an A.P. is called ______
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General term
Common ratio
Common difference
None of these
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Question # 3
If z
1
= 2 + 6i and z
2
= 3 + 7i, then which expression defines the product of z
1
and z
2
?
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36 + (-32)i
-36 + 32i
6 + (-11)1
0, +(-12)i
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Question # 4
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Question # 5
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Question # 6
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Question # 7
If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is
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Question # 8
The mid point of the line segment joining the points (4,0) and (0,4) is
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(4,4)
(2,2)
(-4,-4)
(-2,-2)
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Question # 9
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0
1
1/2
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Question # 10
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Question # 11
n different objects can be arranged taken all at a time in ______
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(n + 1)! ways
(n - 1)! ways
n! ways
n ways
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Question # 12
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Question # 13
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Question # 14
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an A.P.
a G.P.
a H.P.
None of these
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Question # 15
sin(3π/2 -θ)=_______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 16
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Question # 17
The conic is a parabola if
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e < 1
e > 1
e = 1
None of these
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Question # 18
The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)
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I & III
I & IV
II & IV
II & III
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Question # 19
The real number system contains.
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Positive Numbers
Negative numbers
Zero
(option a, b and c)
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Question # 20
3x + 4 < 0 is
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inequality
equation
identity
not inequality
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Question # 21
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
Golden rule of fractions
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Question # 22
What is the conjugate of -6 -i?
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-6 +i
6+i
-6 -i
6 -i
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Question # 23
Two quadratic equation in which xy term is missing and the coefficients of x
2
and y
2
are equal, give a linear equation by ______
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Addition
Subtraction
Multiplication
Division
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Question # 24
If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in
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A.M
G.M
H.M
G.P
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Question # 25
The trigonometric function are continuous whenever
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They are defined
their limit exist
Their period is given
All are incorrect
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Question # 26
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 # 27
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0
undefined
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Question # 28
sin
α=
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2 sin
α
cos
α
2 sin
α
cos
β
2 sin
α
/2 cos
α
/2
1+ tan
2
α
/2
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Question # 29
The synthetic division method is only used to divide a polynomial by
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quadratic equation
binomial
linear equation
monomial
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Question # 30
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Question # 31
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