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    Given only one full 3-litre bottle and two empty ones of capacities 1 litre and 4 litres, all ungraduated, the minimum number of pourings required to
    Question

    Given only one full 3-litre bottle and two empty ones of capacities 1 litre and 4 litres, all ungraduated, the minimum number of pourings required to ensure 1 litre in each bottle is:

    A.

    2

    B.

    3

    C.

    4

    D.

    5

    Correct option is B


    Solution:
    Initial State:
    3-litre bottle: Full (3 litres).
    1-litre bottle: Empty (0 litres).
    4-litre bottle: Empty (0 litres).
    Step-by-Step Process to Get 1 Litre in Each Bottle:
    Pour 3 litres from the 3-litre bottle into the 4-litre bottle.
    3-litre bottle: Empty (0 litres).
    4-litre bottle: 3 litres.
    1-litre bottle: Empty (0 litres).
    Pour 1 litre from the 4-litre bottle into the 1-litre bottle.
    3-litre bottle: Empty (0 litres).
    4-litre bottle: 2 litres.
    1-litre bottle: Full (1 litre).
    Pour 2 litres from the 4-litre bottle back into the 3-litre bottle.
    3-litre bottle: 2 litres.
    4-litre bottle: Empty (0 litres).
    1-litre bottle: Full (1 litre).
    Final State:
    3-litre bottle: 1 litre remaining.
    4-litre bottle: 1 litre.
    1-litre bottle: 1 litre.
    Total Pourings: Only 3 pourings are required to achieve the desired state.
    Answer: (b) 3

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