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3. Given 1000 bottles of juice, one of them contains poison
and tastes bitter. Spot the spoiled bottle in minimum sips?
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Answer Posted / zainab
Take 500 of the bottles and put one drop from each of them into an empty bottle. Taste the juice in that bottle. If it's bitter, you know the poison is in one of them; if not, it's in one of the other 500. Now, take 250 of the bottles you've chosen and put one drop from each into another empty bottle and taste it. Now, you've narrowed it down to 250 bottles. Repeat, and narrow it down to 125... then 63... then 32... 16...8... 4... 2... and finally 1. And you only had to taste the juice 10 times, instead of possibly 999.
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