There are two bottles of 10 liter; each completely filled with water. Now 2 persons having empty bottles of 4 liter and 5 liter want to take 2-2 liters of water. You can use only these 4 bottles (10 liter-full, 10 liter-full, 5 liter-empty, 4 liter-empty) to transfer the water. Wasting or throwing of water is not permitted. How can this be done?
Note: It is assumed that you can not measure water level by comparing water level, or by judging, it should be exact 2 liters of water finally in each 4 and 5 liter water bottle.
This puzzle is courtsey Kranthi Kumar, shared on our facebook page. Click here for solution
Do as described in the table and you will finally have 2 liters f water in 4 and 5 liter water bottle without wasting any water.
Water Bottles | First 10 Liter water bottle | Second 10 liter water bottle | 4 liter water bottle | 5 liter water bottle |
---|---|---|---|---|
Initial State | 10 | 10 | 0 | 0 |
fill 5 liter bottle comppletely | 10 | 5 | 0 | 5 |
fill 4 liter bottle completely from 5 liter bottle | 10 | 5 | 4 | 1 |
empty 4 liter bottle to 2nd 10 liter bottle | 10 | 9 | 0 | 1 |
transfer remaining 1 liter water from 5 liter bottle to 4 liter bottle | 10 | 9 | 1 | 0 |
again fill 5 liter bottle from 2nd 10 liter bottle | 10 | 4 | 1 | 5 |
fill 4 liter bottle completely from 5 liter bottle, it already had 1 liter water | 10 | 4 | 4 | 2 |
empty 4 liter bottle to 2nd 10 liter bottle | 10 | 8 | 0 | 2 |
fill 4 liter bottle with first 10 liter bottle | 6 | 8 | 4 | 2 |
fill 2nd 10 liter bottle from 4 liter bottle | 6 | 10 | 2 | 2 |
Facebook Comments
Sonam says
Solution with minimum no of steps
10 10 0 0 – Initial state
6 5 5 4 – step 1
6 9 5 0 – step 2
7 9 0 4 – step 3
7 4 5 4- step 4
7 8 5 0- step 5
10 8 2 0- step 6
6 8 2 4- step 7
6 10 2 2- step 8
Varun says
10 10 0 0
10 5 0 5
10 5 4 1
10 9 0 1
10 9 1 0
10 4 1 5
10 4 4 2
10 8 0 2
6 8 4 2
6 10 2 2
Michaelangelo says
Fill the 4 litre bottle from the 10 litre bottle and empty it. Repeat it once more. You will be left with 2 litre. Repeat the same with the other 10 litre bottle.
RUKMANISELVARAJ says
read the questions properly
Note: It is assumed that you can not measure water level by comparing water level, or by judging, it should be exact 2 liters of water finally in each 4 and 5 liter water bottle.
Shraddha says
First we will fill the4 ltr bottle completely n thn divide it into 2 equal halves so each bottle now hav exactly 2 ltrsof water..!!
ashu says
nope! its wrong! read the “NOTE” you cant judge !!