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(#5375485) Coconut Puzzle
Posted by Dragon Jr on 15 May 2022 at 6:07AM
Five men are traveling by ship, with their pet monkey. A storm at sea causes a shipwreck. The men and their monkey swim to a nearby island, where there are a lot of coconut trees. There also are four boats on the island, each large enough to accommodate two men and the monkey. The men spend the rest of the day gathering coconuts, which they place in a large pile at the center of the island.
At 1 in the morning, one of the men gets up, and walks over to the pile of coconuts. He divides the coconuts into five equal piles, plus one coconut for the monkey. He loads one pile of coconuts into a boat, arranges the remaining coconuts to form a single pile, and leaves the island.
At 2 in the morning, another man gets up, and walks to the pile of coconuts. He also divides the coconuts into five piles of equal size, plus one coconut for the monkey. Taking one pile of coconuts, he leaves the island by boat.
At 3 in the morning, another man gets up, and goes to the pile of coconuts. He divides the coconuts into five equal piles, plus one coconut for the monkey. Taking one pile of coconuts, he leaves the island by boat.
At 9 in the morning, the last two men get up. As the pile of coconuts is now a lot smaller, and three of the boats are missing, the two men have a clear idea of what happened during the night. After catching fish from the sea for breakfast, the two men divide the remaining coconuts into two equal piles. What is the smallest number of coconuts there could have been in the pile initially?
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