The first and the last term of an AP are 19 and 210 respectively. What is the sum of the 14th term from the beginning and the 14th term from the end of that AP?
A window in a building is at a height of 22m from the ground. The angle of depression of a point P on the ground from the window is 30∘. The angle of elevation of the top of the building from the point P is 45∘. Find the height of the building.
In the given figure, the radii of two concentric circles are 14cm and 9cm. AB is the diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D. What is the length of AD ?
Find the difference between the area of a regular hexagonal plot each of whose side is 46m and the area of the circular swimming tank inscribed in it. [π=227 and √3=1.732]
A can is in the shape of a frustum of a cone of height 35cm. The diameters of its two circular ends are 12cm and 10cm. Find the capacity of the can.(Use π=227)
Usha and Vandita each have a bag that contains one ball each of the colors orange, grey, green, red and blue. Usha randomly selects a ball from her bag and puts it in Vandita's bag. Then Vandita randomly selects a ball from her bag and puts it in Usha's bag. What is the probability that after this the contents of the bag are the same as before?
Faces of a cube are marked with 1,2,3,4,5 and 6. Two views of cube are as shown below, if face 3 is opposite to face 6, what will be there on the bottom when 4 is at the top?
In this diagram, the triangle represents men, the square represents inspectors and the circle represents tall. Find the number of men who are inspectors and tall.