The circumference of a circle is 100 cm. The side of a square inscribed in the circle is:

In two triangles, the ratio of the areas is 4 : 3 and ratio of their heights is 3 : 4. Find the ratio of their bases

If the surface areas of two spheres are in the ratio 4:25, then the ratio of their volumes is:

A circular cylinder can hold 61.6 c.c of water. If the height of the cylinder is 40 cm and the outer diameter is 16 mm, then the thickness of the material of the cylinder is

A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minute, where 1≤ n ≤ N, the tap numbered n, which fills the tank at the rate of n liters per mite, is opened. If it takes exactly N minutes to fill the tank in his manner , find N.

The height of the Qutub Minar is 230 metres. It is planned that a stairway from ground to the topof the Minar would be made by arranging cube shaped boulders in a step like fashion. A man firstplaces a boulder on the ground. He then steps on to it, and then throws one boulder down such thatit touches the side of the previous bolder, and then places one over the new one. He then climbsonto the last boulder thus placed and continues to do the same to create steps right to the top, witheach of his step being 1 metre. If each boulder measures 1 cubic metre, how many boulders arerequired in all ?

What will be the area of a semi-circle of 14 metres diameter?

The angle of elevation of a ladder leaning against a wall is 60⁰ and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

What is the sum of the total surface areas of all the cubes formed when a cuboid of size  5.2 m x 13 m x 39 m is cut completely into the least possible number of cubes, all of which are identical?

Three circles touch each other externally. If xy = 15,yz = 10, xz = 21 Find the radius of each circle