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Telangana State Polytechnic Common Entrance Test
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Mathematics
List of top Mathematics Questions asked in Telangana State Polytechnic Common Entrance Test
\(\sqrt p+\sqrt q\)
is an irrational number, where
\(p, q\)
are
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Mathematics
Irrational Numbers
The pair of equations
\(3x+4y=k \)
and
\(9x+12y=6\)
has infinitely many solutions if
\(k=\)
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Mathematics
Solution of a Linear Equation
The sum of first 'n' natural numbers is
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Mathematics
Natural Number
A circle touches the sides of a quadrilateral ABCD at points P, Q, R and S then which of the following is true?
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Mathematics
Cyclic Quadrilaterals
From the below figure the value of x= _____.
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Mathematics
Geometry
If the H.C.F. of any two numbers is equal to '1' then those numbers are called as
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Mathematics
Some Problems on HCF and LCM
Calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm.
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Mathematics
Tangent to a Circle
The tops of two poles are of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is
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Mathematics
Heights and Distances
The radius of the sphere is increased by 100% then the volume of the resultant sphere is increased by
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Mathematics
Volume of a Sphere
In the below figure
\(△PQR~△ABC\)
, then
\(z+y=\)
_____ .
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Mathematics
Right-Angled Triangles And Pythagoras Property
The value of
\(log_{1250} 1250\)
is
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Mathematics
Logarithms
If the point
\(P(x,y)\)
divides the line segment joining the points
\(A(x_1,y_1\)
) and
\(B(x_2,y_2)\)
internally in the ratio
\(m_1:m_2\)
, then
\(P(x, y)=\)
_____ .
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Mathematics
Section Formula
The centroid of a triangle is (4, 1) and two vertices are (2, 3) and (7, 6) then the third vertex is
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Mathematics
Triangles
The degree of a quadratic equation
\(ax^2+bx+c=0, \ a≠0\)
is
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Mathematics
Quadratic Equation
In the below figure
\(△RST∼△RBA\)
, then the value of
\(x\)
is
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Mathematics
Similarity of Triangles
In an A.P. if the first term is 4 and 9
th
term is 20 then 15
th
term is
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Mathematics
Arithmetic Progression
\(△ABC∼△PQR; \ ∠P=60°,\ ∠Q=75°\)
then,
\(∠A=\)
_____ .
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Mathematics
Similarity of Triangles
The roots of a quadratic equation
\(x^2-3x-10=0\)
are
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Mathematics
Quadratic Equation
How many two-digit numbers are divisible by 3?
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Mathematics
Divisibility Rules
\(RP\)
and
\(RQ\)
are the two tangents to the circle with centre
\(O\)
and
\(∠POQ=110°\)
, then
\(∠PRQ=\)
_____ .
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Mathematics
Tangent to a Circle
What is the degree of the polynomial
\(7u^6 - \frac{3}{2}u^4 + 6u^2 - 8\)
?
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Mathematics
Polynomials
In the figure, AP=12 cm, PB = 16 cm. Let
\(\pi=3\)
, then the perimeter of the shaded portion is
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Mathematics
Perimeter
If x+7y=7 and 7x-3y=-3, then y =?
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Mathematics
Solution of a Linear Equation
The A.M. of 30 students is 42. Among them, two students got zero marks. Then A.M. of the remaining students is
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Mathematics
Mean, median, mode and standard deviation
In the given figure
\(∠BAC = 90^ \degree\)
,
\( AD ⊥ BC, BD=9\)
cm and
\(CD=16\)
cm then
\(AC=?\)
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Mathematics
Triangles
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