solutions

Solutions

1. If the first native is a politician, then he lies and denies being a politician. If the first native is not a politician, then he tells the truth and denies being a politician. In either case, then, the first native denies being a politician.
Since the second native reports that the first native denies being a politician, he tells the truth, and is therefore a non-politician.
The third native asserts that the first native is a politician. If the first native is a politician, then the thirds native speaks the truth and is therefore a non politician. If the first native is a non politician, then the third native lies and is therefore a politician. Hence, only one of the first and the third natives is a politician, and since the second is a non-politician, there is only one politician among the natives.


4. Hint: The two robots know each others personality. That they talk when they're bored, lonely, etc. Try to get the two robots to cancel their evil & good ways out.
Answer: Ask one robot what the other robot would say, if it was asked which door was safe. Then go through the other door.