How will you measure 5 liters

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You are given four different jars of 2 liters, 4 liters, 6 liters and 8 liters respectively with an unlimited water supply. Then you are asked to measure exactly 5 liters of water using them.

How will you do it?

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SherlockHolmes Expert Asked on 11th January 2016 in Math Puzzles.
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  • 3 Answer(s)

    –  Fill completely the 4-liter jar,
    –  Empty it in the 6-liter jar.
    – Now again fill it, we have now 4-liter in each.
    – Empty these jar at the same rate into the 2-liter jar, this way there will be 1-liter deducted from each of them.
    – These jars now have 3-liter each…empty it in 8-liter jar and add the 2liter liquid.
    Sums to 5-liter.

    shruti Guru Answered on 12th January 2016.

    ‘Empty these jar at the same rate into the 2-liter jar’

    ……

    But how will you ensure that the emptying is done at ‘same rate’? Even the slightest rate variation, say, 1 ml per sec., will cause difference in quantities in the jars, and you will not get “exactly 5 liters” as required.

    on 13th January 2016.

    Also, with this approach you don’t even need the 8-liter jar:

    1. Fill both 4 and 6-liter jars
    2. Empty them both at a same rate into the 2-liter jar

    Your 6-liter jar will have 5 liters.

    on 15th March 2016.

    Wrong solution

    on 8th April 2016.
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    It’s impossible since all these jugs have even capacities and no matter on what order you add or subtract even numbers,its not possible to get an odd number(5)

    UltimateGamer07 Starter Answered on 4th July 2016.
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    I dont think it can be solved as 5 is a odd number and all the given jars are even number. Any + or – between two even numbers produces only even so it cant be solved.

    Source:- Four different jars of 2, 4,6 liters

    abhi88920 Curious Answered on 10th November 2016.
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