A logic problem: What question should the princess ask?
 
A princess visits an island inhabited by two tribes. Members of one tribe always tell the truth, and members of the other tribe always lie.
 
The princess comes to a fork in the road. She needs to know which road leads to the castle so as to avoid the fire-breathing dragon and rescue the prince from the wizard holding him captive in the castle. {Although the princess doesn't know it, the south road leads to the castle and the north road leads to the dragon}
 
Standing at this fork in the road is a member of each tribe, but the princess can't tell which tribe each belongs to. What question should she ask to find the road to the castle?
 
..Anyone? .."Dualspace"? ..since, he also qualifies. { :
 
 
 
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..Class, I'm afraid I'm going to have to give you All a Big-
Fat-Red {where did my red marker go?} "0"; since the time
allowed for answering, has expired!
..Here's the answer though, in the hope that you'll all ul-
timately become more logic-'savvy'!
 
Simply asking which road leads to the castle won't help. The answer won't tell us which native is lying and which native is telling the truth. However, we really only need to talk to one of the natives. The trick is to ask a question where the response will be the same from both natives: a question that incorporates how a member of the tribe not answering would respond to the same question.
 
For example, what if we say to one of the natives, "If I asked a member of the tribe you don't belong to which road I should take to get to the castle, what would he say?"
 
1. If we ask a truthteller, the response will be: "He would say to take the north road." The road to the castle is the south road so the liar will tell us to take the north road, and the truthteller will faithfully report this to us.
 
2. If we ask a liar, the response will be: "He would say to take the north road." The road to the castle is the south road and the truthteller will tell us to take the south road, but the liar will not report this faithfully to us, he will say the opposite.
 
In both cases we'll get the same response. We should do the opposite of what we have been told because, regardless of whether we are speaking to a liar or a truthteller, our question will always produce the wrong answer to which road we should take.
{From the Dr. Math archives}

ok, so it's Gammaburst 1, the rest nil. To square things up, Gamma, what is the next number in this sequence? you have one day to answer, but it should take less than an hour. 5,4,9,19,1,5,?.

Latest score.. Gammaburst 1,the rest of caissa, 1. Actually, Gamma, the solution is so simple, I am surprised you did not solve it. Remember, this is a non mathematical logic problem thread, so any initial excitement from the first 3 numbers 5, 4 9, is leading down the wrong path. The solution....a=1, z=26 , therefore the numbers spell out EDISAE,in reverse, which to you and you alone ,will obviously spell out most of your hometown of Seaside. The missing letter is S or 19.