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Brainteasers

Here's some brainteasers that I got from Shiara and her sister Kazul. #'s 1&2 came from the book"Games for the Super-Intelligent" by James F.Fixx.The others I'm not sure about but I got them from Shiara. Email me for the answers : Puzzle#1: A missionary visits an island where two tribes live. One tribe always tells the truth. The other always lies. The truthtellers live on the west side of the island and the liars live on the east side of the island. The missionary's problem is to determine who tells the truth by asking one native only one question. The missoinary, seeing a native walking in the distance, asks a native walking near by: "Go ask that native in the distance which side of the island he lives on." When the messanger returns he answers: "He says he lives on the western side of the island." Is the messanger a truth teller or a liar? How can you be sure? Puzzle #2:"A hunter arose early, ate breakfast, and headed south. Half a mile from camp he tripped and skinned his nose. He picked himself up, cursing, and continued south. Half a mile farther along, he spotted a bear. Drawing a bead, he pulled the trigger, but the safety was on. The bear saw him and headed east at top speed. Half a mile later the hunter caught up, fired, but only wounded the beast, which limped on toward the east. The hunter followed and half a mile later caught and killed the bear. Pleased, the hunter walked the mile north back to his camp to find it had been ransacked by a second bear. "What color was the bear that tore up his camp?"
Puzzle#3:A wealthy man named Richard Ellis had been counting his money. When he finished, he accidentally left a A100.00 bill on his desk. But when he returned for it a short while later, it was gone. Only two other persons could have seen the bill. One was the maid and the other was the butler.
The maid told him that she had hidden it for safekeeping under a green book that was on the desk. But when they looked the bill was not there. The butler said he had found the bill where the maid had left it. He had placed it inside the book, where he thought there was less chance that somebody would find it. He had written down the page numbers so that he would not forget them. The bill was between pages 35 and 36, he said. But when they looked, there was no money in the book.
After Mr. Ellis had talked to the maid and the butler, he called the police. He was sure he knew who had taken the money.
Who was it, and how did he know?

Puzzle #4:I dig out tiny caves, and store gold and silver in them. I also build bridges of silver and make crowns of gold. They are the smallest you could imagine. Sooner or later everybody needs my help, yet many people are afraid to let me help them. Who am I?
Puzzle #5:I have seven letters. The first two stand for a boy. The first three stand for a girl. The first four stand for a brave boy. But all of my letters stand for a brave girl. What word am I?
Puzzle #6:A beggar's brother died, but the man who died had no brother. How could this be?