Escape Death and Prison: Balancing the Antidote Pill

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SUMMARY

The discussion centers on a logic puzzle involving 12 pills, where one is an antidote and the others are potentially poisonous. Participants explore strategies to identify the antidote using a balance scale no more than three times. The key conclusion is that by dividing the pills into groups and systematically weighing them, one can determine the antidote through a process of elimination and comparison of weights.

PREREQUISITES
  • Understanding of basic logic and problem-solving techniques
  • Familiarity with weight comparison methods
  • Knowledge of group division strategies
  • Basic principles of elimination in decision-making
NEXT STEPS
  • Research methods for logical deduction in problem-solving
  • Learn about combinatorial optimization techniques
  • Explore weight measurement strategies in puzzles
  • Study similar logic puzzles to enhance critical thinking skills
USEFUL FOR

This discussion is beneficial for puzzle enthusiasts, educators teaching logic and reasoning, and individuals interested in strategic problem-solving techniques.

ohiogal57
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You are a prisoner in the king's dungeon. You just learned that the food you ate was poisoned. The king has given you a chance to escape death and to be released from prison. You have been given a balance (which you can use no more than three times) and 12 pills with no perceptible differences. You know the following about the pills:

1. One pill is the antidote to the poison, the other 11 will not help you.

2. The antidote pill does not weigh the same as the other pills, but you do not know if it weighs more or less than the other pills.

3. You do not know if the other 11 pills have poison in them.

Using the balance no more than three times, tell me how you would determine which pill is the antidote.
 
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What about #3. You do not know if the other 11 pills are poison?
 

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