Every label is wrong
Three sealed boxes are labelled APPLES, ORANGES, and MIXED. Every label is wrong. You may draw one fruit from one box without looking inside. How can you label all three boxes correctly?
Logic challenge at medium difficulty.
Hint
Start with the label that gives the strongest guarantee when it is wrong.
Answer and method
Draw from the box labelled MIXED. It cannot be mixed. If you draw an apple, that box is APPLES. The box labelled ORANGES cannot be oranges and cannot be apples, so it is MIXED. The remaining box is ORANGES. Reverse the fruit names if you draw an orange.
Reusable reasoning moveWhen all labels are false, the most specific false label creates the best test.