List of top Mathematics Questions asked in Telangana State Polytechnic Common Entrance Test

The value of \(\tan 26^\circ.  \tan 64^\circ\) is 

If 5x+py+8=0 and 10x+15y+12=0 has no solution, then p =

If \(\sec \theta = \frac{2}{\sqrt{3}}\),then \(cosθ=\)

In the figure, if AP and AQ are the two tangents to a circle with centre 'O' so that \(∠OQP=15°\), then \(∠QAP=\)

The value of \(\sqrt{\frac{1+sin\ \theta}{1-sin\ \theta}}\) is

If A= {P,O,L,Y,T,E,C,H,N, I} and B = {E, X, A, M}, then \(A∩B =\)

What is the median of 47, 52, 57, 62, 67, 72, 77, 78 ?

A tangent AB at a point 'A' of a circle of radius 7 cm meets a line through the centre 'C' at a point 'B' so that CB=11 cm, then the length of AB =

In the given figure, \(PQ||BC\). If AP=3 cm, BP=2 cm and CQ=3 cm, then AQ= 

\(\triangle ABC \sim \triangle DEF\) and their areas are respectively \(81 \text{ cm}^2 \quad \text{and} \quad 225 \text{ cm}^2\); if \(EF = 5 cm\), then \(BC=\)

In any \(△ABC\), the value of \(\sin \left( \frac{A + B}{2} \right)\) is

If no value of an ungrouped data is repeated, then which of the following cannot be determined?

The two lines 2x+3y=7, 8x+12y=1 are____lines

The value of \(\frac{\cot 45^\circ}{\sin 30^\circ + \cos 60^\circ}\) is

If \(P(A) = \frac{4}{15}\),then \(P(\overline{A})=\)

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

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

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?

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

Two events \(E_1\) and \(E_2\) are mutually exclusive then \(E_1∩E_2 =\)

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

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

Find the area of the shaded region in figure, if ABCD is a square of side 14 cm, APD and BPC are semicircles.(use \(\pi = \frac{22}{7}\))

If a right circular cylinder has base radius 7 cm and height 10 cm, then its volume is ____(use \(\pi = \frac{22}{7}\))

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