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Let the quantity of the wine in the cask originally be x litres Then, quantity of wine left in cask after 2 operations = [x {1 - (12/x)}2] litres Therefore, [x {1 - (12/x)}2/x] = 4/9 [1 - (12/x)}2] = (2/3)2 x = 36 Original quantity of cask = 36 litres
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1. Desert<...
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