Required Mathematical Intelligence
Chapter 130 Which country are they from?
Chapter 130 Which country are they from?
There are six people of different nationalities, their names are A, B, C, D, E and F; their nationalities are the United States, Germany, Britain, France, Russia and Italy (the order of names and the order of nationality are not necessarily the same )
现已知:(1)A和美国人是医生;(2)E和俄罗斯人是教师;(3)C和德国人是技师;(4)B和F曾经当过兵,而德国人从没当过兵;(5)法国人比A年龄大,意大利人比C年龄大;(6)B同美国人下周要到英国去旅行,C同法国人下周要到瑞士去度假。请判断A、B、C、D、E、F分别是哪国人?
[Answer: Analyze the sentences carefully.According to the first three sentences, we can first conclude that C is not German, American, or Russian. According to 5 and 6, we know that C is not Italian or French, so C is British.Also, according to the first three sentences, we know that A is not American, Russian, or German. According to 5, we know that A is not French or British (C is), so A is Italian.And according to the first three sentences, we know that A, C, and E are not German, and according to 4, we know that B and F are not German, so D is German.Then E is not American, Russian, or German, plus the conclusion that E is not British or Italian, so E is French.Only B and F are left, and the country is only left with Americans and Russians. According to 6, B is not an American, so B is a Russian, and F is an American. ]
(End of this chapter)
There are six people of different nationalities, their names are A, B, C, D, E and F; their nationalities are the United States, Germany, Britain, France, Russia and Italy (the order of names and the order of nationality are not necessarily the same )
现已知:(1)A和美国人是医生;(2)E和俄罗斯人是教师;(3)C和德国人是技师;(4)B和F曾经当过兵,而德国人从没当过兵;(5)法国人比A年龄大,意大利人比C年龄大;(6)B同美国人下周要到英国去旅行,C同法国人下周要到瑞士去度假。请判断A、B、C、D、E、F分别是哪国人?
[Answer: Analyze the sentences carefully.According to the first three sentences, we can first conclude that C is not German, American, or Russian. According to 5 and 6, we know that C is not Italian or French, so C is British.Also, according to the first three sentences, we know that A is not American, Russian, or German. According to 5, we know that A is not French or British (C is), so A is Italian.And according to the first three sentences, we know that A, C, and E are not German, and according to 4, we know that B and F are not German, so D is German.Then E is not American, Russian, or German, plus the conclusion that E is not British or Italian, so E is French.Only B and F are left, and the country is only left with Americans and Russians. According to 6, B is not an American, so B is a Russian, and F is an American. ]
(End of this chapter)
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