Quantitative Aptitude - Arithmetic Ability Questions

The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon?

Two trains are moving in opposite directions with the same speed. If the length of each train is 144 metres and they cross each other in 9 seconds, then what is the speed (in km/hr) of each train?

What is the effective discount (in %) on two successive discounts of 20% and 10%?

Pipes A and C can fill an empty cistern in 32 and 48 hrs, respectively while Pipe B can drain the filled cistern in 24hrs. If the three pipes are turned on together when the cistern is empty, how many hrs will it take for the cistern to be 2/3 full?

The volume of a sphere is 179.67 cub.cm. Find its diameter (in cm).

ΔABC is similar to ΔDEF. If the ratio of similar sides is K:1, the ratio of their areas is

Two trains are moving in the same direction at the speed of 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?

Dinesh purchases 10 dozens of apples at the rate of Rs 180 per dozen. He sold each one of them at the rate of Rs 19.5. What is the profit (in percentage) of Dinesh?