If a + b + c=15, abc=120 and (ab+bc+ca)=74, then the value of a³+b³+c³=?

If a wire is bent into the shape of a square, the area of the square is 81 sq. cm. When the wire is bent into a semicircular shape, the area of the semicircle is 

Train A crosses a stationary train B in 35 seconds and a pole in 14 seconds with the same speed. The length of the train A is 280 metres. What is the length of the stationary train B?

A dealer bought an item at 10% discount on its original price. He sold it  at 35 % more than the original price. What percentage profit did he get?

The measure of each of two opposite angles of a rhombus is 60° and the measure of one of its sides is 10 cm. The length of its smaller diagonal is: 

If U+V=80 and U:V=5:3 then find out the U-V.

Atul divides some money among his three children A, B and C. The ratio of amount received by A and C together to the amount received by B is 5:2. C received 150% of the amount received by A. If the amount received by C is Rs. 1500. Find the sum of amount received by A and B together.