Six drums are used to store water. Five drums are of equal capacity, while the sixth drum has double the capac

Question

Six drums are used to store water. Five drums are of equal capacity, while the sixth drum has double the capacity of each of these five drums. On one morning, three drums are found half full, two are found two-thirds full and one is found completely full. It is attempted to transfer all the water to the smaller drums. How many smaller drums are adequate to store the water?

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Accepted Answer

Five but not four. Let's five small drums have a capacity of 1 unit capacity each and one bigger drum has that of 2 units capacity. We need to consider two cases here. One with minimum volume and the other with maximum volume. Case 1: Minimum value is possible if the bigger drum is half filled. So, total volume of wat