On a certain game show, a contestant is placed in front of a stage. On the stage

Question

On a certain game show, a contestant is placed in front of a stage. On the stage, there are three curtains—#1, #2 and #3. The contestant is told that there is a brand new car behind one curtain and a case of Spam behind another. There is nothing behind the remaining curtain. Each curtain has a sign in front of it. The signs read:

#1 There is nothing behind this curtain.

#2 If the car is behind this curtain, then the Spam is behind #1.

#3 This sign is telling the truth if and only if there is nothing behind #1.

The contestant is told that at most one of the signs is telling the truth. Where is the car? Where is the Spam?

Explanation / Answer

Solution

The contestant is told that at most one of the signs is telling the truth so, if #1 is true then #3 is also trueb which will contradict the statement that at most one of the signs is telling the truth.

So,sign on #2 is telling the truth

Car is behind the #2 curtain

and spam is behind the #1 curtain

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