**Measuring Water Aptitude Interview Question - 16 September**

You have a 12 liters jug full of water. You have two empty 8 liters and 5 liters jug. Now can you divide the water into two equal parts using these jugs?

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Why is the solution taking so long? The aim is just to get 1 litre in biggest jug and fill up the 5litres jug. 1st you pour from the 12liters jug to fill the 8liters jug meaning we have 8liters(in the 8liters jug) and 4litres in (12liters jug). Then you pour from the 8liters jug to fill the 5liters jug meaning we now have 4liters(in the 12liters jug), 3liters(in the 8liters jug) and 5liters(in the 5liters jug). 4:3:5. Now 4+5=9 so you empty the 5liters + the 4liters into the 12liters jug. Now pour from the 9liters in the 12liters jug to fill the empty 8liters jug again meaning we have 1liter left in the 12liters jug. Remember the 3liters we have in one of the 8liters jug. 3:1:8. Pour from the 8liters into the empty 5liters jug to have only 3liters left in the 8liters jug meaning we have 5liters(in the 5liters jug), 1liter(in the 12liters jug), and 3liters in each of the 8liters jug. Now we add the two 3liters together to get 6liters in one of the 8liters jug. Then we add 5liters to the 1liter in the 12liters jug to get another 6liters. They are thus equally distributed considering no content was lost during redistribution.

ReplyDelete12l 8l 5l

ReplyDelete12 0 0

4 8 0

0 8 4

8 0 4

8 4 0

3 4 5

3 8 1

11 0 1

11 1 0

6 1 5

6 6 0

12 8 5

ReplyDelete12 0 0

4 8 0

4 3 5

9 3 0

9 0 3

1 8 3

1 6 5

6 6 0

best solution

Delete4l in the 1st jug...4l in the second ...and 4l in the third jug

ReplyDeleteEasy...very easy

Pour the 12 liter jug into the 8 liter jug until the water level in the 12 liter jug connects from just below the spout to the edge tangentially opposite it on the bottom of the cylinder shaped pitcher (as seen in the picture.) You now have 6 liters in either jug. Alternatively, pour until the 5 liter jug is full. then pour that into the 8 liter jug and fill the 5 liter jug again. Dump out the remaining 2 liters. The water that is left is split perfectly into 2 equal portions. Be brave enough to break the rules of how you're supposed to think. This is a job interview after all.

ReplyDelete