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Mathematics General Science Test Medium Mode MCQs With Answers
Question # 1
The value of k (k > 0) for which the equation x
2
+ kx + 64 = 0 and x
2
- 8x + k = 0 both will have real roots is
Choose an answer
8
-16
-64
16
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Question # 2
If line through (4,3) and (2,k) is perpendicular to y =2x +3, then k =_______
Choose an answer
-1
1
-4
4
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Question # 3
The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is
Choose an answer
116 m
200 m
216 m
None of these
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Question # 4
The range of the tangent function is
Choose an answer
all real numbers
-1 ≤ x ≥ 1
natural number
z
+
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Question # 5
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
Choose an answer
2 and 64
64 and 3
64 and 4
None of these
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Question # 6
Choose an answer
I and II quadrants
I and III quadrants
II and III quadrants
II and IV quadrants
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Question # 7
The number of points of intersection of two curves y = 2 sin x and y = 5x
2
+ 2x + 3 is
Choose an answer
0
1
2
None of these
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Question # 8
Choose an answer
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Question # 9
A square matrix A for which A
t
= A is called a
Choose an answer
Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 10
The solution of the equation 3 tan
2
x = 1 is ____________
Choose an answer
none of these
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Question # 11
If f (x) = 2x+1 then fof (x) = _______;
Choose an answer
4x+3
2x +3
4x +1
None of these
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Question # 12
If y = (ax)
m
+ b
m
, then dy/dx equals
Choose an answer
m (ax)
m
x
m-1
ma
m
x
m-1
m a
m
x
m-1
m a
m
x
m-2
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Question # 13
If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then
Choose an answer
1
ω
2
ω
0
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Question # 14
If Z
1
= 1+i, Z
2
= 2+3i, then |Z
2
-Z
1
|=?
Choose an answer
√3 I
√7
-2-1
√5
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Question # 15
1+2+3+......+n=?
Choose an answer
n(n +1)/2
n +1/2
n(n +1)(2n +1)/6
n
3
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Question # 16
Given eight points in a plane no three of which are collinear how many lines do the points determine?
Choose an answer
16
64
28
36
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Question # 17
π/3 is
Choose an answer
A positive integer
A negative integer
A natural number
An irrational number
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Question # 18
Sec
-1
x=
Choose an answer
Cos
-1
1/x
Cosec
-1
1/x
Cos-1 (-x)
Tan
-1
x
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Question # 19
There are 30 Red balls and 25 Green balls in a bag of a ball is drawn from the bag randomly what is the probability that a Blue ball comes out?
Choose an answer
1
0.5
0
None
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Question # 20
The sum of the interior angles for a 16 sided polygon is
Choose an answer
0
ω
1
1 / ω
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Question # 21
The perpendicular bisector of any chord of a circle
Choose an answer
Passes through the center of the circle
Does not pass through the center of the circle
May or may not pass through the center of the circle
None of these
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Question # 22
6 is
Choose an answer
A prime integer
An irrational number
A rational number
A odd integer
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