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There are three boxes one of them contains gold. In each box, there is amessage

User Ed Heal
by
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1 Answer

4 votes

Answer:

Gold is in Box 1

Explanation:

There are 3 boxes. One of them contains gold

In each box, there is a message, and one of them is true.

Box 1: "The gold is not in Box 2".

Box 2: "The gold is in this box"

Box 3: "The gold is not in this box".

Which box has the gold?

Answer:

O Box 1

O Box 3

O Box 2

There's not enough info

Assume each statement to be true at a time, and check for contradictions.

Box 1: "The gold is not in Box 2".

Assume True. Gold in 1 or 2.

Box 2: "The gold is in this box"

False. Gold not in 2.

Box 3: "The gold is not in this box".

False. Gold in 3

Contradiction between box1 and box 3 message.

Box 2: "The gold is in this box"

Assume true. Gold in 2.

Box 1: "The gold is not in Box 2".

False. Gold in 2.

Box 3: "The gold is not in this box".

False. Gold in 3.

Contradiction between boxes 2 and 3. Box 2 message cannot be true.

Box 3: "The gold is not in this box".

Assume true. Gold in 1 or 2.

Box 1: "The gold is not in Box 2".

False. Gold in 2.

Box 2: "The gold is in this box"

False. Gold not in 2.

No contradictions.

Gold must be in 1.

Answer: Gold is in Box 1

User Chris Baswell
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8.6k points