Quantitative Aptitude - Arithmetic Ability Questions

If a + b + c = 9 and ab + bc + ca = 18, then what is the value of a3 + b3 + c3 – 3abc?

Three clocks are designed to alarm in every hour, two hours and three hours respectively. If they all alrmed together three hours before, then after how many hours will they next alarm together?

The rate of working of A and B are in the ratio of 2:3. The number of days taken by them to finish the work is in the ratio:

A sum fetched a total simple interest of Rs. 7728 at the rate of 7% per year in 8 years. What is the sum?

The total surface area of a hemisphere is 4158 cm2. Find its diameter (in cm).

Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?

How long will Ramesh take to run round a square park of edge 50 meters, if he runs at the rate of 18 km/hr?

30 men can do a piece of work in 16 days working 8 hrs a day. How many men are needed to complete another work, which is twice the first one, in 10 days working 12 hrs a day?

The following are the steps involved in solving the above problem. Arrange them in sequential order.