There are three crates. The first contains only apples; the second contains only oranges, and the third contains a combination of apples and oranges. Unfortunately, all the labels on the crates are incorrect. You can take only one piece of fruit from a crate, and may not look inside while you do it. From which crate would you take a piece of fruit to find out where to put the correct labels?
A man who owned a winery recently passed away. In his will, he left 21 barrels, seven of which are filled with wine, seven of which are half full, and seven of which are empty, to his three sons. However, the wine and barrels must be split so that each son has the same number of full barrels, the same number of half-full barrels, and the same number of empty barrels. There are no measuring devices handy. How can the barrels and wine be evenly divided?
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