Where is my Treasure?

Logic puzzle testing label deduction under incomplete information

This is a medium-difficulty logic puzzle commonly used in quant interviews to assess how a candidate reasons about constraints and information gain. It rewards clean logical thinking over trial-and-error guessing, and tests whether you can design an optimal strategy when resources are limited.

The puzzle hinges on recognizing that all labels are wrong, which creates a tight logical dependency between what you observe in one box and what must be true about the others. The key is choosing which single box to inspect such that its contents uniquely determine the contents of the remaining two boxes without further checking. Strong solutions explicitly work through the constraint structure and explain why one choice dominates the others.

• Exploiting logical constraints to maximize information gain
• Understanding what "all mislabelled" implies for each box
• Process of elimination and deductive inference