Water Jug puzzle’s
Q) You have an 8 litre jug full of water and two smaller jugs, one that contains 5 litres and the other 3 litres. None of the jugs have markings on them, nor do you have any additional measuring device.You have to divide the 8 litres of water equally between your two best friends, so that each gets 4 litres of water. How can you do this?
Answer:
- First, water is poured from the 8 litre jug into the 5 litre jug, leaving 3 litres of water in the original 8 litre jug.
- Next, water is poured from the 5 litre jug into the 3 litre jug, so we now have 3 litres of water in the 8 litre jug, 2 litres of water in the 5 litre jug and 3 litres of water in the 3 litre jug.
- The 3 litre jug is emptied into the 8 litre jug, so the 8 litre jug now contains 6 litres of water.
- The 2 litres of water in the 5 litre jug are now poured into the empty 3 litre jug.
- Water is poured from the 8 litre jug (which at this stage contains 6 litres) into the empty 5 litre jug. We now have 5 litres of water in the 5 litre jug, 2 litres of water in the 3 litre jug and 1 litre of water in the 8 litre jug.
- Water is poured from the 5 litre jug to fill the 3 litre jug which already contains at this stage 2 litres of water.
- We are left with 4 litres of water in the 5 litre jug which is given to one friend, and 3 litres of water in the 3 litre jug that is poured back into the 8 litre jug that already contains 1 litre of water. This gives 4 litres of water which are given to the second friend.
Q) There are two jugs each of 4 and 3 liters respectively , without any measuring marks. how many minimum steps are required to have 2 liters of water into the 4 litre jug (the jugs can be filled any number of times with water, and they can be emptied any number of times).
Answer:
Step 1 : Fill 3-litre jug with water completely
Step 2 : Empty water from 3-litre jug into 4-litre
Step 3 : Again, fill 3-litre jug with water completely
Step 4 : And pour water from 3-litre jug into 4-litre jug until 4-litre jug becomes full
Step 5 : Empty the 4-litre jug. Now, we are left with 2 litre water in 3-litre jug and 4-litre jug is empty.
Step 6: Transfer water of 3-litre jug to 4-litre jug, resulting in 2 litre water in 4-litre jug.
Q) You have two empty water jugs in your hands. One holds 3 gallons of water, the other holds 5 gallons of water. You need to use these two jugs to measure exactly 4 gallons of water. You have an unlimited amount of water to do so.
Answer:
Step 1 : Fill the 5-jug up completely
Step 2 : Use the water from the 5-jug to fill up the 3-jug
Step 3 : Pour out the 3-gallon jug
Step 4 : Transfer the water from the 5-jug to the 3 jug,
Step 5 : Fill up the 5-jug completely
Step 6: Use the water from the 5-jug to fill up the 3-jug
Step 7: 4 liter water left in 5-jug.