Question

You have three chests in front of you. The first chest is labeled "GOLD", the second is labeled "SILVER" and the third is labeled "GOLD OR SILVER". You have been told that all the labels are on the wrong chests and that one chest contains gold coins, one contains silver coins and one contains bronze coins. How many chests do you need to open to deduce which label goes on which chest?

• A. 0
• B. 1
• C. 2
• D. Cannot deduce

Hint:

Start with the chest labeled "GOLD OR SILVER". Since every label is wrong, this chest cannot hold gold or silver, so its true content is forced without opening anything.

Answer 1

The Correct Option is A

Step 1: Use the label that rules out the most.
Every label in this puzzle is wrong, so no chest actually holds what its label says. Start with chest 3, labeled "GOLD OR SILVER". Since this label is wrong, chest 3 cannot hold gold and it cannot hold silver either.
With only three metals in play (gold, silver, bronze), a chest that is neither gold nor silver must be bronze. So chest 3 = bronze, and we have not opened a single chest yet.

Step 2: Use the "SILVER" label on chest 2.
Chest 2 is labeled "SILVER", and that label is wrong too, so chest 2 does not hold silver.
Bronze is already accounted for by chest 3, so the only metals left for chest 2 are gold and silver. Since silver is ruled out, chest 2 must hold gold.

Step 3: Use the "GOLD" label on chest 1.
Chest 1 is labeled "GOLD", which is also wrong, so chest 1 does not hold gold.
Gold is already placed in chest 2 and bronze is already placed in chest 3, so the only metal left for chest 1 is silver. Chest 1 = silver.

Step 4: Count how many chests were opened.
Every chest's true content was pinned down purely by the fact that its label is wrong, working through the three labels one at a time. No chest needed to be physically opened to reach this conclusion.

Final Answer:
The full assignment (chest 1 = silver, chest 2 = gold, chest 3 = bronze) follows from logic alone. \[ \boxed{0} \]