You must Sign In to post a response.
  • Category: Miscellaneous

    An interesting work to your brain; solve this problem

    There are 3 vessels with the capacity of 10 litres, 7 litres and 3 litres each. The 1st vessel (10L) is full of water. 2nd (7L) and 3rd (3L) vessels are empty. Using these 2nd and 3rd vessel, you have to bring the first vessel water to 5L and make 2nd vessel to 5L of water . That is your have to make equal water in 1st and 2nd vessel. Only if you fill water fully in vessels, you know the litres 10, 7, 3 for 1st, 2nd and 3rd vessels respectively. If you pour partially on any vessel, you will not know the exact litres. So how will you make 1st and 2nd vessels with equal water exactly as 5L? You can use other 2 empty vessels to this process. Let you try it to solve!
  • #707922
    I have tried and solve the problem like this.

    First, transfer water from 10 l vessel to 7 litre, then from 7 litre to 3 litre. Now in each vessel (10 litre, 7 litre and 3 litre vessel) there are 3 litre, 4 litre and 3 litre water, respectively. Now, pour water from 3 litre vessel containing to the 10 litre vessel containing 3 litre water. Now, water level will be 6 litre in 10 litre vessel. Then pour water from 7 litre vessel to 3 litre vessel. Now water level will be 6 litre, 1 litre and 3 litre in vessels. Now transfer water from 3 litre vessel to 10 litre vessel and water level in 10 litre vessel will become 9 litre. Now, Pour water from 7 litre vessel containing 1 litre water to the 3 litre vessel. Then pour water from 10 litre vessel to 7 litre vessel and water level will be 2 litre, 7 litre and 1 litre in each vessel, respectively. Now pour water from 7 litre vessel to 3 litre vessel (already having 1 litre water). And the water level in all three vessels will be 2 litre, 5 litre and 3 litre. Now, pour water from 3 litre vessel to 10 litre vessel (already having 2 litre water) and now water level in 10 litre vessel will be 5 litre and in 7 litre vessel also 5 litre. Pour water from 7 litre vessel to 3 litre vessel and the water level in all three vessel will be 5 litre, 2 litre and 3 litre, respectively.

    Hope, the solution is right.

  • #707924
    Look at this and understand it in a simple look. I shortened the answer of Deepali Gangwar and made it simple.
    10-07-03
    FF-EE -EE

    10-00-00
    03-07-00
    03-04-03
    06-04-00
    06-01-03
    09-01-00
    09-00-01
    02-07-01
    02-05-03
    05-05-00

    No life without Sun

  • #707925
    A simple diagram is attached to show the calculation.

    Delete Attachment

  • #707928
    Dr.Deepali, You have brilliantly solved! Congratulation! However, there is simple short way to solve. Other members are requested to find their own way to solve this!
    Jeba.

  • #707935
    Very very logical puzzle. Thanks for the puzzle. Hope to see a short way of solving such puzzle from you.
    Dr. Paresh B. Gujarati.
    Mechanical Engineer.
    'I'mprovement always begins with 'I'.

  • #707951
    First, fill ten litres water in the other two vessels. Now the 10 L vessel will be empty and you will have 3 litres and 7 litres in the other two vessels. Now transfer the 3 litres water from 3L vessel to 10 L vessel and again fill 3 L vessel from the 7 litres vessel. The position will be 3 Liters, 4 Liters and 3 Liters, Then transfer the 3L from 3L vessel to 10L vessel. Now the position is 6L.4l.0L. Now you can transfer water from 7L Liters vessel to 3L vessel. Now the position will be 6L.1L. 3L. Transfer this 3L also to 10L vessel. Now the position will be 9L 1L. 0L. Now transfer water remaining in the 7L vessel to 3L vessel. Now the position will be 9L.0L. 1L. Transfer from 10L vessel to 7 L vessel so that the position will change to 2L.7l and 1L. Now take 7L vessel and fill the water in 3L vessel Then the situation will be 2L. 5L. 3L. Transfer the 3L liquid in the 3L vessel to 10L vessel. Now the position will be 5L.5L. 0L.
    This is the shortest route to have 5L and 5L in two vessels.

    drrao
    always confident


  • Sign In to post your comments