In 6 bottles of drinks out of which one is poisoned. If a man tastes a drop of that, he will die within 10 hours A doctor decides to check it out by using some number of mice within 16 hours. Then the minimum number of mice needed to find out the poisoned bottle is:
If mouse would die exactly at 10 hours then definitely 1 will be the answer but here the given condition says that mouse will die within 10 hours.
so this question can be solved by set theory.
There is a Formula to use for these types of problems :
Consider there are b bottles to be tested. Then the minimum value of m such that 2m > = b gives the minimum number of mice required.
In our case b = 6.
The minimum value of m for 2m > 6 is 3. (21=2, 22 = 4, 23 = 8. Only when m = 3, 2m exceeds 6.)
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