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There are 20 bottles, one is poisoned. If a person take a sip of that poisoned bottle, he will die in next 10 hrs. A doctor is ready to check which is poisoned among 20 with the help of mice in 16 hrs. How many minimum number of mice he needed?
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Answer Posted / preethi sundararajan
Give a little amount of drink from each bottle with a time gap of some minutes and notice the time.
Start calculating time if death starts, so that the poisoned bottle can be found.
i.e.,
At 1st min the mouse tastes 1st bottle, if it is poisoned then it dies at 10 hr 1 min.
After 15 mins the mouse tastes 2nd bottle, if it is poisoned then it dies at 10 hr 15 min
After 30 minutes the mouse tastes 3rd bottle, if it is poisoned then it dies at 10 hr 30 min
Proceeding like this,
After 4 hrs 30 mins the mouse tastes 19th bottle, if it is poisoned then it dies at 14 hrs 30 min
If the mouse is still alive after 14 hrs 30 min, then the poison will be in the 20th bottle.
Hence the answer is 1.
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