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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
In common logarithm the base is
Choose an answer
1
0
10
e
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Question # 2
∫ x cos dx is equal to :
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x cos x + sin x
cos x + x sin x
x cos x + x sin x
x sin x + cos x
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Question # 3
The first three terms in the expansion of (1 + x)
-2
are ______
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 -2x + 3x
2
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Question # 4
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 # 5
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0
1
2
none of these
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Question # 6
A function from X to Y is written as
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f : X to Y
f : Y to Y
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Question # 7
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360°
180°
90°
None of these
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Question # 8
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Question # 9
If sin (
π
cos
θ
) = cos (
π
sin
θ
), then which of the following is correct?
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Question # 10
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 # 11
The range of the principle cot function is
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Question # 12
For the equation |x
2
| + |x| -6 =0, the roots are
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One and only one real number
Real with sum one
Real with sum zero
Real with product zero
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Question # 13
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I
14 I
0
None of these
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Question # 14
Every subset of a finite set is
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Disjoint
Null
Finite
Infinite
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Question # 15
(x-1) is a factor of
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2x
3
-3x
2
+9
2x
3
-5x-8
48x
2-
46x-9
x
9
-1
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Question # 16
If y=sin(ax+b) then y4=________:
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sin4(ax+b)
a4sin(ax+b)
a4cos(ax+b)
None of these
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Question # 17
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
Choose an answer
1700
17023
17027
17010
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Question # 18
If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then
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k=0
k=1
k=w
k=w2
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Question # 19
The magnitude of vector a=i-3j+5k is:
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3
√35
√17
√35
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Question # 20
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Linear equation
Quadratic equation
Cubic equation
None of these
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Question # 21
Q∪ Q' =
Choose an answer
Q
Q'
N
R
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Question # 22
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Question # 23
If 4
6
P
r
=
6
P
r+1
, then r is equal to
Choose an answer
4
3
2
1
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Question # 24
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Question # 25
In natural logarithm the base is
Choose an answer
1
0
10
e
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Question # 26
If ax
2
+ bx + x = 0 is satisfied by every value of x, then
Choose an answer
b = 0, c = 0
c = 0
b = 0
a = b = c = 0
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Question # 27
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 28
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Question # 29
A point of a solution region where two of its boundary lines intersect, is called
Choose an answer
Boundary
Inequality
Half plane
Vertex
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Question # 30
If m and n be two scalars, then (m+n) g =
Choose an answer
0
m+n
m▁a+n▁a
ma - m▁a
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Question # 31
G is geometric mean between a and b if a, G, b is
Choose an answer
A.P.
G.P.
H.P.
None of these
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