A number is divided into 3 parts A, B and C in the ratio of 3:2:1. If half of the number is 54, then find the square of the smallest number?

A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with internal radius 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:

Aman and Ajay can build a wall in 9 days and 12 days respectively. In how many days can they finish the work if they work together?

P, Q and R share the profit in a business in the ratio of 1/4, 1/6 and 7/12. Due to some reason, R takes retirement. What will be the new profit sharing ratio for P and Q if they retain their old ratios in the new shares of profit?

A and B started business with the initial investment in the ratio 12:11 and their profit in the business were 4x and x respectively. If A invested the money for 11/12 year, then B invested the money for?

Speed of a boat in still water is 6 km/hr and speed of the current is 2 km/hr. If boat takes four hours more in upstream than in the downstream to cover ‘D’ km, then find time take by boat to cover ‘D’ km in still water?

The following chart depicts the percentage of Educated  and Uneducated men and women in a city with a population of 2,50,000.

How many of these women are Uneducated?

If the compound interest on a certain sum for 2 years at 4% p.a. is Rs. 102, the simple interest at the same rate of interest for two years would be: