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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are
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2, 2, 2
3, 3, 3
2, 2, 4
2, 3, 4
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Question # 2
150°= ______
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Question # 3
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 # 4
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Question # 5
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x
-2
+ c
not possible
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Question # 6
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Question # 7
24 can be written as a product of
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Odd factors
Even factors
Whole factors
Prime factors
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Question # 8
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0
1
-1
None of these
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Question # 9
If
u
=2
i
+p
i
+ 5
k
and
v
= 3
i
+
i
+p
k
are perpendicular , then p=
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1
2
-1
-3
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Question # 10
f(x) = x3-x/x2+1 is :
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 11
The condition for polynomial equation ax
2
+ bx + c = 0 to be quadratic is
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Question # 12
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Question # 13
A triangle which is not right angle is called ______ triangle
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acute
Obtuse
Right
Oblique
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Question # 14
The degree of differential equation is the power of the
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Lowest order derivative
Highest order derivative
Integral
All are correct
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Question # 15
For any set B,B∪B' is
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Is set B
Set B'
Universal set
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Question # 16
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(x
3
- 3x
2
)
8
+ c
3x
2
- 6x + c
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Question # 17
∀a,b ε R, ab = be is a
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplicative identity
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Question # 18
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 19
If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is
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Question # 20
The symbol ______ shall be used both for equation and identity
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Question # 21
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Question # 22
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Question # 23
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Question # 24
If S
r
denotes the sum of the first r terms of a G.P., then S
n
, S
2n
- S
n
, S
3n
- S
2n
are in
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A.P.
G.P.
H.P.
None of these
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Question # 25
The system of measurement in which the angle is measured in degrees, minutes and seconds is called the
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circular system
CGS system
sexagesimal system
none of these
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Question # 26
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none of these
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Question # 27
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Question # 28
The set of real roots of the equation log
(5x + 4)
(2x +3)
3
- log
(2x + 3)
(10x
2
+ 23x + 12) = 1 is
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{-1}
{-3/5}
Empty set
{-1/3}
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Question # 29
If n is any positive integer then n! > n
2
for
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Question # 30
The value of sin [ arc cos (-1/2)] is
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Question # 31
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Does not exist because f is unbounded
Is not attained even though f is bounded
Is equal to 1
Is equal to -1
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