Three Parcels, Every Label Wrong

Case 16 · investigation · Medium · About 4–7 minutes

The three parcel symbols and their order are clues; background details are decorative.

At Bell Quay, Inspector Vale finds three parcels waiting for the museum launch. One contains a small clock, one an atlas, and one a ceramic bowl. The contents are intact, but someone has replaced all three identifying labels.

The dispatcher wants the clock before the boat leaves. You may use the picture and the verified statements below. You do not need to open a parcel.

The dispatch rules

• Each parcel contains exactly one of the three objects. Every object appears once.
• In the correct labeling system, a circle means clock, a triangle means bowl, and a square means atlas.
• Every label now on the desk is wrong. No parcel bears its correct symbol.
• A reliable witness saw the contents before packing and confirms that the clock is farther to the right than the bowl.
• The parcels have not changed positions since that observation.

Picture evidence

Read the three large labels from left to right. Ignore the boats, window, twine, and apparent parcel size; they supply no clues.

Accessible evidence transcript: The left parcel bears a circle. The middle parcel bears a triangle. The right parcel bears a square.

Which parcel contains the clock? Give the complete contents of the row to demonstrate that your answer satisfies every condition. “Farther right” means a greater position in this three-parcel row; it does not require the objects to be adjacent.

Hint 1 - reveal when you want a nudge

Translate each symbol into the content it forbids, because all three labels are wrong.

Hint 2 - reveal when you want a nudge

There are only two ways to mislabel all three parcels. Compare the clock and bowl positions in those two arrangements.

Reveal the solution and explanation

The right-hand parcel, bearing the square, contains the clock. From left to right, the contents are bowl, atlas, clock.

There are six possible arrangements of three different objects. Requiring all three labels to be wrong leaves only two: bowl–atlas–clock, and atlas–clock–bowl. In the first, the clock is to the right of the bowl. In the second, it is to the left. Only the first passes the witness’s condition.

Check the result against the labels: the circle parcel has no clock, the triangle parcel has no bowl, and the square parcel has no atlas. Nothing about the illustration establishes who switched the labels, so that separate question remains unanswered.

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