Quantitative Aptitude - Arithmetic Ability Questions

If a3 + b3 + c3 - 3abc = 0, then the value of a2/bc + b2/ac - 3.

The difference between compound interest and simple interest on a certain sum of money for 2 years at 5% per annum is Rs. 41. What is the sum of money?

On a certain principal if the simple interest for two years is Rs 2800 and compound interest for the two years is Rs 2996, what is the rate of Interest?

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

Volume of a cube is 512 cubic cm, find its total surface area? (Take π = 22/7)

The perimeter of two similar triangles ABC and PQR are 36 cms and 24 cms respectively. If PQ = 10 cm then the length of AB is

A thief is stopped by a policeman from a distance of 350 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7 km/h and that of police man as 12 km/h, how far the thief would have run, before he is over taken?

In the following question, select the related number from the given alternatives.
 
47 : 57 : : 93 : ?