Answer

You should pick an object from the box labeled “Pots and Pans”.

Here’s why:

  • Since all the boxes are incorrectly labeled, the “Pots and Pans” box cannot contain both items.
  • Therefore, whatever object you draw from this box will indicate its true content.
    • If you draw a pot, the box contains only pots.
    • If you draw a pan, the box contains only pans.
  • Once you identify this box, you can deduce the rest:
    • The box labeled “Pots” cannot actually contain just pots. Since you now know the real “Pots” box, this box must contain both pots and pans.
    • The remaining box, labeled “Pans,” must contain only pans.

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