So, apparently my last post was a little boring. I thought I'd kick it up a notch with a niiice long problem.
Smullyan is good for these nice, complex riddles.
A certain computer scientist designed a remarkable series of machines that gave correct answers to any yes/no question put to them. The machines would answer by flashing a green light or a red light - one of the colors meant yes, the other no. The machines were manufactured in China and Japan, but unfortunately not manufactured uniformly, in that the machines made in one of these two countries mean yes by green and no by red, but the machines of the other country meant no by green and yes by red. To add to the confusion, it was not known whether it was the Chinese or the Japanese machines whose green meant yes.
1) Now, suppose you come into possession of one of these machines and wish to find out whether it was made in China or Japan. You are allowed to ask one yes/no question. What question do you ask?
2) Suppose that instead of wanting to know whether or machine is from China or Japan, you want to know whether it was chinese or the Japanese that meant yes by green. What single yes/no question could you ask the machine to determine this?
3) Suppose all you wanted to know about your machine is which of its two colors meant yes and which meant no. What yes/no question could accomplish this?
4) What yes/no question is such that the machine, regardless of whether it is Chinese or Japanese, is bound to answer by flashing red?
5) What yes/no question is such that the Chinese machines will have to answer by flashing red, and the Japanese machines by flashing green?
6) There is a yes/no question you could ask the machines that would make it impossible for it to answer with either red or green! what question would work?
7) There is a yes/no question that the machine whose green means yes could answer with either red or green, but the machines whose green means no couldn't answer no at all. What question would work?
Last one! 8 ) The first batch of machines made in these two countries are quite rare and are valuable collector's items. What yes/no question could you ask your machine to determine whether or not it is a collector's item.
Ok, so, I didn't spend 5 minutes of my life typing this so you could look it up online ( I don't know if it's available online or not) and answer all of them right away. Or, if you know the answers, don't answer all of them please, give some people some time. I'm sure someone will get it.
I have the answers, so if you want to know early, I'll PM them to you and if for some reason, no one can get the answer to one of them, I'll post them later one.
Muchas Gracias!