if there are 30 cans out of them one is poisoned. if a person tastes very little of this he will die within14 hours so they decided to test it with mice. given that a mouse dies in 24 hours and you have 24hours in all to find out the poisoned can how many mice are required to find the poisoned can?
Answers
The question is little tricky.
If the time period for death of mouse would be the same as that of men then only 1 mouse would be sufficient to find the poisoned can by the time of its death.
But since it is mentioned that the mouse will die in 24 hours and also we have only 24 hours in hand.
So, we need atleast 29 mouses to test 29 cans, if none of the mouse dies then the poison is present in the 30th can.
If mouse would die exactly after 14 hrs then definitely 1 will be the answer but here the given condition says that mouse will die within 14 hrs.
This question will be solved by set theory.
Total beer bottles = 6
Drinking strategy
Bottle 1 : Mouse 1
Bottle 2 : Mouse 2
Bottle 3 : Mouse 3
bottle 4 : mouse 1 and mouse 2
bottle 5 : mouse 2 and mouse 3
bottle 6 : mouse 3 and mouse 1
On the basis of death of mice set we can decide the poisoned bottle
In this question up to 2 bottle answer will be 1 because 2^1 = 2
Similarly up to 4 bottles answer will be 2 because 2^2 = 4
For up to 8,16,32,64,128 bottles answer will be 3,4,5,6,7