Logical Puzzles
Hard
5 min
You have an 8-litre jug, a 5-litre jug and a 3-litre jug. The jugs have no measurement markings. Using only these jugs, measure exactly 4 litres.
Hint
Use the 5-litre and 3-litre jugs to create a 2-litre remainder.
Answer
Fill the 5-litre jug, pour into the 3-litre jug, leaving 2 litres in the 5-litre jug. Transfer that 2 litres to the 8-litre jug. Repeat the process to obtain another 2 litres, giving 4 litres.
Explanation
The difference between the 5-litre and 3-litre capacities is 2 litres. Two such transfers produce exactly 4 litres.
Step-by-Step Solution
1. Fill the 5L jug.
2. Pour into 3L jug → 2L remains in 5L.
3. Transfer the 2L into the 8L jug.
4. Empty the 3L jug.
5. Repeat the 5L-to-3L operation.
6. Transfer the second 2L to the 8L jug.
7. The 8L jug contains 4L.
2. Pour into 3L jug → 2L remains in 5L.
3. Transfer the 2L into the 8L jug.
4. Empty the 3L jug.
5. Repeat the 5L-to-3L operation.
6. Transfer the second 2L to the 8L jug.
7. The 8L jug contains 4L.