Question: Using 3 periods (.) and 1 question mark (?) make this a logical and grammatically correct sentence:
"That that is is that that is not is not is that it it is"
Answer: There are two acceptable answers:
"That that is is. That that is not is not. Is that it? It is."
"That that is is that that is. Not is not. Is that it? It is."
Question: A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start.
What is the expected amount of time it will take for the rat to finish the maze?
Answer: 9 minutes.
Each path has an equal chance of occurring and if B or D are chosen they will just add 8 or 2 minutes to the time because the rat must restart the maze: time = (1/4)*5 + (1/4)*(8 + time) + (1/4)*(3) + (1/4)*(2 + time). Time = 9 minutes.
Question: Thomas is traveling through Germany and stops at a store to use the bathroom. The only problem is he cannot tell which bathroom is for males and which is for females. He finds somebody to ask which is which, but Thomas doesn't speak German. The person he finds can understand English but can only speak and respond in German.
Thomas really has to go to the bathroom, so what two yes or no questions can he ask to figure out which bathroom is which?
Answer: First he asks "Is this the bathroom for men?" (while pointing at one of the bathrooms). Then he asks them if they said whatever they said (ie "Did you say ja?"). No matter what his second response will mean yes. So his second response can be compared to his first to tell if the bathroom he pointed to is correct.
If the second response is different than the first then the bathroom is not the bathroom he wants. If it is the same then it is the bathroom he wants.