Question
If the area of a square is 400 cm² and the breadth of a
rectangle is 20% more and the length is 50% more than the side of the square, then find the ratio of area of square to the area of rectangle.Solution
 Area of square = 400 cm², Side of square = 20 cm  Area of rectangle = (l x b)  Length = (20 x 1.5 = 30) cm  Breadth = (20 x 1.2 = 24) cm  Area of rectangle = (30 x 24 = 720) cm²  Required ratio = 400/720 = 5/9 = 5:9
If a tank can be filled by a tap in 12 hours, but due to an outlet, it actually takes 6 hours longer to fill the tank, find the duration in which the ou...
- There are two inlet pipes 'A', 'B' and one outlet pipe 'C' in a tank. ‘A’ and ‘B’ can fill the tank in 24 minutes and 16 minutes respectively. ‘C...
Pipe ‘A’ can fill a tank in 14 hours whereas pipe ‘B’ can empty it in 28 hours. If both pipes are opened together while pipe ‘B’ is closed a...
Three pipes are attached to a tank. Pipe A can fill it in 20 minutes, pipe B can fill it in 30 minutes, while pipe C can empty the completely filled tan...
Pipe ‘A’ can fill a tank in 30 hours whereas leak ‘A’ can empty it in 50 hours. If they both operate along with pipe ‘B’, then the given tan...
Pipe A fills a cistern in 6 hours, but pipe B can drain the full cistern in 9 hours. If both pipes operate together, how long will it take to fill the c...
Pipe P can fill a tank in 5 hours, but pipe Q can empty it completely in 20 hours. If both are opened together, find the time needed to fill the tank.
Inlet pipes 'A' and 'B' can fill a tank in 24 minutes and 40 minutes, respectively. Both the pipes are opened together to fill the tank. When the tank i...
A water tank has two holes. The 1 hole alone empties the tank in 9 minutes and 2nd hole alone empties the tank in 6 minutes. If water leaks out at a con...
Pipe M and N can fill a tank together in 25 hours while pipe N alone can fill the tank in 30 hours. Find the time taken by pipe M to fill the tank if it...