Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?

Ram cycles 5 km in the south, and turns left to travel 5 km further. From there, he takes a right turn and travels 5 km more. How far is he from his original position?

A spaceship travels at 1,260 km/h. How many metres does it travel in 1/10 th of a second?

If x3 = 62 - 32, then the value of x is

P(3,1) and R(-7,5) are vertices of a rhombus PQRS. What is the equation of diagonal QS?

What is the compound interest (in Rs) for 1 year on a sum of Rs 20000 at the rate of 40% per annum compounding half yearly?

A shopkeeper by selling 5 items, earns a profit equal to the selling price of 1 item. What is his profit percentage?

A man travelled a distance of 60 km in 7 hours. He travelled partly on foot @ 6 km/hr and partly on bicycle @ 12 km/hr. What is the distance (in kms) travelled on foot?