List of top Mathematics Questions asked in TS POLYCET

The sum of first '100' natural numbers is

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

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

The points of intersection of the lines 2x+3y-5=0 and 3x-4y+1=0 lies in which quadrant ?

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

If the total surface area of the cube is 864 cm², then its volume is

If the ratio of corresponding sides of two similar triangles is 4: 9, then the ratio of areas of these triangles is

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 =

In any \(△ABC\), the value of \(\sin \left( \frac{A + B}{2} \right)\) 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 \(\pi = \frac{22}{7}\))

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 value of cos 60° cos 30°- sin 60° sin 30° is

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

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

If the radius of a sphere is 3.5 cm, then the volume and total surface area of a sphere are respectively.... (use \(\pi=\frac{22}{7}\))

The angle between a tangent to a circle and the radius drawn at the point of contact is

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 =

If the angle of sector is 30°, then the area of a sector of the circle with radius 7 cm is___(use \(\pi = \frac{22}{7}\))

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

In the below figure OB = 13 cm; OP = 12 cm and OP⊥AB, then the value of AB is

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 \(P(x, y)=\) _____ .

Find length of a kite string flying at 100 m above the ground with the elevation 60°.

The centroid of a triangle is (4, 1) and two vertices are (2, 3) and (7, 6) then the third vertex is

Average of 11 numbers is 10.5; If one of the number 9 is deleted, then the average of the remaining numbers is