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1. There is no correct answer . . . only correct thinking.
Which is why I say the answer is Meaningless and Absurd. Once this is realized, the puzzle does not require further contemplation.
Correct thinking does not equal NO THINKING.
As far as I am concerned in this case it does. Once the puzzle has been thought about, one realizes that it's an underconstrained problem and conclusions are impossible. One moves on to other tasks.
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Typically, in hypothetical situations you assume everything is similar to reality unless it is mentioned otherwise or would contradict what is mentioned.
This social contract is heavily violated from the get-go. I'm offered a talking monkey. He seems to have magical powers over the lives of my parents, or is aware of other forces that have such powers. This isn't that different from believing in God or an Afterlife, and FYI I'm an Atheist. So no, I don't think it's a stretch to say that since I don't know why this monkey can talk or where the magic powers are coming from, I don't know what "the best" results in this universe are either. I'd worry about keeping my parents alive if that were possible, but in the situation posed it is not. Having to deal with such a problem, where your rights, dignity, and sense of well being in the universe are suddenly violated, is what the Existentialists call Absurd.
I wrote the "parents held at gunpoint" post to ground the dilemma in tangibles. It's an Atheist Materialist universe in which one or more persons is very likely to die. The Existentialists would also call this problem Absurd. You were minding your own business, talking to your parents, then you get clocked in the back of the head. Did you ask for this to happen? No, you didn't. The difference, as compared to the Monkey Mind problem, is it asks the reader to deal with what they would actually do in the real world. There is no emphasis on "how you think" or someone's view of what "correct thinking" is.