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Telangana State Polytechnic Common Entrance Test
List of top Questions asked in Telangana State Polytechnic Common Entrance Test
If the refracted rays from a convex lens are travelling parallel to the principal axis, then image distance is
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Physics
Refraction of Light
A box contains 7 red marbles and 9 green marbles. If a marble is drawn at random from the box, then the probability of not getting a red marble is
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Mathematics
Probability
The value of
\(\frac{\cot 45^\circ}{\sin 30^\circ + \cos 60^\circ}\)
is
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Mathematics
Trigonometry
The angle of elevation of the top of the tower, whose height is 15 mts, at a point whose distance from the base of the tower is 15 mts is
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Mathematics
Slope of a line
If
\(P(A) = \frac{4}{15}\)
,then
\(P(\overline{A})=\)
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Mathematics
Probability
A person is flying a kite at a height of 30 m from the horizontal level. The length of string from the kite to the person is 60 m. Assuming that here is no slack in the string, the angle of elevation of kite to the horizontal level is
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Mathematics
Lines and Angles
The angle of elevation of top of the cliff from a point 300 m from its foot is 600. Then the height of the cliff is
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Mathematics
Lines and Angles
The price of the fifteen shares in rupees are as follows:
46, 25, 11, 73, 73, 59, 28, 25, 73, 30, 25, 8, 25, 80, 25.
What is the Mode of the price?
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Mathematics
Arithmetic Mean
Find the missing value of "p" from the following table when Arithmetic Mean is 3.55.
X
1
2
3
4
5
6
F
8
9
p
16
9
8
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Mathematics
Arithmetic Mean
Two events
\(E_1\)
and
\(E_2\)
are mutually exclusive then
\(E_1∩E_2 =\)
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Mathematics
Chance and Probability
The angle between a tangent to a circle and the radius drawn at the point of contact is
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Mathematics
Tangent to a Circle
If a right circular cylinder has base radius 7 cm and height 10 cm, then its volume is ____(use
\(\pi = \frac{22}{7}\)
)
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Mathematics
Surface Areas and Volumes
Empirical relation between Mean, Median and Mode is
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Mathematics
Mean and Variance of Random variables
Find the area of the shaded region in figure, if ABCD is a square of side 14 cm, APD and BPC are semicircles.(use
\(\pi = \frac{22}{7}\)
)
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Mathematics
Areas Related to Circle
If the ratio of base radii of right circular cylinder and cone is 2 : 3 and the ratio of their heights is 3: 4, then the ratio of their volumes is
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Mathematics
Conic sections
The value of cos 60° cos 30°- sin 60° sin 30° is
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Mathematics
Trigonometry
If the radius of a sphere is 3.5 cm, then the volume and total surface area of a sphere are respectively.... (use
\(\pi=\frac{22}{7}\)
)
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Mathematics
Surface Area of a Sphere
In the given figure,
\(∠ADE = ∠CBA\)
, if AD=3.8 cm, AE=3.6 cm, BE= 2.1 cm and BC= 4.2 cm, then DE =
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Mathematics
Triangles
If the total surface area of the cube is 864 cm
2
, then its volume is
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Mathematics
Surface Area of Cube, Cuboid and Cylinder
If the angle of sector is 30°, then the area of a sector of the circle with radius 7 cm is___(use
\(\pi = \frac{22}{7}\)
)
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Mathematics
Areas of Sector and Segment of a Circle
A circle with centre 'O', 'P' is a point outside the circle and PA and PB are two tangents to the circle at the point of contacts 'A' and 'B' from 'P'. If the length of PA 10 cm, then the length of PB =
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Mathematics
Circles
If the ratio of corresponding sides of two similar triangles is 4: 9, then the ratio of areas of these triangles is
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Mathematics
Triangles
The points of intersection of the lines 2x+3y-5=0 and 3x-4y+1=0 lies in which quadrant ?
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Mathematics
Intersecting Lines
In a trapezium ABCD with
\(AB || DC\)
and diagonals intersect each other at the point 'O'. If
\(AB=2CD\)
, then the ratio of areas of triangles COD and AOB is
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Mathematics
Area of a Triangle - by Heron’s Formula
Distance between the points (4,-8), (5,-2) is
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Mathematics
Collinearity of points
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