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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:
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Parallel to each other
Perpendicular to each other
Inclined at 60
o
neither parallel nor perpendicular
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Question # 3
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 4
1+3x+6x2 +10x3 +....=
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(1+x)-3
(1-x)-2
(1-x)-3
(1+x)-2
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Question # 5
The area of the circle centred at (1,2) and passing through (4,6) is
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30 πsq.units
5π sq.units
15π sq.units
25π sq.units
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Question # 6
Power set of X i.e P(X)..........under the binary operation of union U
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Forms a group
Does not form a group
Has no identity element
Infinite set although X is infinite
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Question # 7
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Question # 8
A point (x,y) which satisfy a linear inequality in two variables form its
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Solution
Domain
Range
None
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Question # 9
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 10
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2, 3
3, 3
2, 6
2, 4
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Question # 11
In quadratic equation y=ax
3
+bx+c, if b and c are both zero then the graph is
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Symmetric w.r.t.y-axis
Symmetric w.r.t.x-axis
Straight Line
Circle
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Question # 12
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A
A'
U
U'
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Question # 13
2π is the period of
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sin𝜽
tan𝜽
cot𝜽
all circular function
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Question # 14
If ax + bx + c =0 is satisfied by every value of x,then
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b = 0,c = 0
c = 0
b = 0
a = b = c = 0
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Question # 15
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Identity matrix
Diagonal matrix
Null matrix
Hermitian matrix
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Question # 16
sn (2sin-10.8)
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0.56
0.69
-0.16
0.96
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Question # 17
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 18
Cos (
α
+
β
) - cos (
α
-
β
) =
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-2 sin
α
sin
β
2 sin
α
cos
β
-2 sin
α
cos
α
4 sin
α
cos
β
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Question # 19
The range of y = sin x is ______
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[1, -1]
[-1, 1]
[0, -1]
[-
∞
+
∞
]
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Question # 20
w
11
= ______
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0
1
w
w
2
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Question # 21
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Question # 22
If in a set of real no a is multiplicative identity then
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a,a = a
2
a,a = 1
a,a = 0
None of these
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Question # 23
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additive property
multiplicative property
additive identity
multiplicative identity
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Question # 24
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Question # 25
The sum of coefficients in the binomial expansion equals to
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2
2
n+1
2
n-1
2
n
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Question # 26
x = 1 is in the solution of the inequality
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x + 1 > 0
x - 2 > 0
3x - 1 < 0
x + 2 < 0
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Question # 27
If a, b, c are in AP., a, b, c are in G.P. then A, m
2
b, c are in
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A.P.
G.P.
H.P.
None of these
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Question # 28
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Question # 29
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 # 30
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Question # 31
In quadratic equation f(x) = ax
2
,if a >0, then the graph of parabola
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Opens up
Opens down
close up
symmetric w.r.t.x.axis
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