Quantitative Aptitude - Arithmetic Ability Questions

A tap can fill a tank in 50 minutes. If the tank has a leakage which alone is capable of emptying the tank in 2.5 hours, the tank will now be filled in

A train runs at 80 kmph for the first 40 km and the next 30 km at 60 kmph. Find the average speed.

How much does one need to add to 2/3 to obtain 3/2?

The angles of depression of two ships from the top of a light house are 45° and 30° toward east. If the ships are 200m apart, the height of the light house is (take √3=1.73)

Find the area (in sq.cm) of a semi-circle of radius 7 cm

If Tan A = 15/8 and Tan B = 7/24, then Cos(A - B) = ?

What is the third proportional to 10 and 20?

In an army selection process, the ratio of selected to unselected was 5:1. If 100 less had applied and 20 less selected, the ratio of selected to unselected would have been 6:1. How many candidates had applied for the process?