Base of a right pyramid is a square. The length of diagonal of the base is $$ {12\sqrt{2}}$$ cm. If each lateral surface of the pyramid is an equilateral triangle, then its volume (in cu.cm) is

The curved surface area of a right circular cylinder of radius 2 cm is 264 cm². The height of the cylinder, in cm, is

In a mixture of 35 liters, the ratio of milk and water is 4 : 1. How many liters of water must be added to make the ratio 2 : 3?

A pump can fill a cistern in 40 minutes and another pump can empty the filled up cistern in 1 hour. By mistake, without closing the second pump, the first pump is opened. The time in which the empty cistern will be filled up is

A and B together can complete a work in 12 days, A alone can complete in 20 days. If B now does the work only for half a day daily, then the number of days required to complete the work, by A and B together, is

The greatest fraction out of $$ {2\over 5},{5\over 6},{11\over 12},and \ {7\over8}$$ is

The diameter of a roller is 84 cm and its length is 120 cm. It makes 500 complete revolutions to move once over to level a playground. Find the area of the playground.

How many times the keys of a typewriter have to be pressed in order to write number from 121 to 1346?