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# 3 e logical puzzles 1 four friends have been

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E. Logical Puzzles 1. Four friends have been identified as suspects for an unauthorized access into a computer system. They have made statements to the investigating authorities. Alice said: "Carlos did it" John said: "I did not do it" Carlos said: " Diana did it" Diana said: " Carlos lied when he said that I did it" a. If the authorities also know that exactly one of the four suspects is telling the truth, who did it? b. If the authorities also know that exactly one is lying, who did it? 2. A detective has interviewed for witnesses to a crime: the butler, the cook, the gardener, and the handyman. From their stories the detective has concluded that: a. If the butler is telling the truth, then so is the cook. b. The cook and the gardener cannot both be telling the truth. c. The gardener and the handyman are not both lying d. If the handyman is telling the truth, then the cook is lying. For each of the four witnesses, can the detective determine whether that person is telling the truth or lying? 3. Five friends have access to a chat room. Is it possible to determine who is chatting if the following information is known: a. Either Kevin or Heather or both are chatting. b. Either Randy or Paul but not both are chatting. c. If Abby is chatting, so is Randy d. Paul and Kevin are either both chatting, or neither is. e. If Heather is chatting than so are Abby and Kevin. 4. Crossing the river Three young men and their girlfriends approach a river. They see a boat and decide to go to the other side. The boat however is too small – it can carry only two passengers at a time. Being quite jealous, they thought of a way to cross the river, so that the number of the ladies is never smaller than the number of the men at each bank of the river. How did they do it?
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• Summer '00
• Aula4-IntroducaoC
• Black-and-white films, The Cook, Constraint satisfaction, Buster Keaton filmography, Chloë Sevigny

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