Question
A solid cube, whose edge is of length 60 cm, is melted.
Identical solid cubes, each of volume 216 cm3, are made of this molten cube, without any wastage. How many such small cubes are obtained?Solution
the number of small cubes = volume of big cube/volume of small  given- the volume of a small cube = 216cm3 side of big cube = 60 Then volume = 60×60×60= 216000cm3 now several small cubes= 216000/216  = 1000
Pipe ‘A’ can fill a tank in 25 hours while pipe ‘B’ takes 30 hours to empty it. Pipe ‘A’ is opened alone when the tank was empty and after 1...
Pipe ‘A’ can fill a 300-litre tank in 30 hours. If pipe ‘A’ is 25% more efficient than pipe ‘C’ whereas pipe ‘B’ is 50% more efficient t...
Pipe A can fill a tank in 12 hours and pipe B can fill it in 15 hours. A third pipe C can empty a full tank in 20 hours. If all three pipes are opened t...
Pipe A can fill a tank in 12 hours and pipe B takes 18 hours to fill it. Both pipes were open together and a leak was spotted which increased the fillin...
Pipes X and Y can independently fill a tank in 80 minutes and 90 minutes respectively, while pipes X and Z together take 3 hours to fill the same tank. ...
Two pipes A and B can fill a tank in 12 min., and 16 min, respectively. If both the pipes are opened simultaneously, after how much time A should be cl...
Two inlet pipes M and N alone can fill a tank in 10 hours and 12 hours respectively and an outlet pipe P alone can empty the whole tank in 5 hours. Firs...
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...
Pipe ‘A’ can fill a 180-litre tank in 18 hours. If pipe ‘A’ is 25% more efficient than pipe ‘C’ whereas pipe ‘B’ is 50% more efficient t...
An inlet pipe can fill an empty tank in 40 minutes whereas an outlet pipe can empty the fully filled tank in 80 minutes. Find the time taken by both the...