Quantitative Aptitude - Arithmetic Ability Questions

Two trains are moving in the opposite direction at speed of 30 km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively. What is the time taken (in seconds) by slower train to cross the faster train?

A watch is listed for Rs.230 and is sold at a discount of 12%, then the sale price of the watch is

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
If S is sum of the cubes of the dimensions of the cuboid and V is its volume, then what is (S-3V) equal to?

The third proportional of two numbers 9 and 15 is

(1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to

Divide 13,680 in three parts such that 1st part is 3/5th of the third part and the ratio between 2nd and 3rd part is 4:7. How much is the first part?

A can do a piece of work in 6 days working 8 hours a day while B can do the same work in 4 days working 10 hours a day. If the work has to be completed in 5 days, so how many hours do they need to work together in a day?

What is the ratio of simple interest earned on certain amount at the rate of 12% p.a. for 9 years and that for 12 years?