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Logic Puzzle # 143 Logic Problems Help



Logic Problem Solution:
Matryoshka

By clue 1, the Lenin doll is the middle, or 3rd largest, of the Matryoshka Barbie Kenn bought. By clue 4, when the blue doll is opened, the Ivan the Terrible doll appears and is next largest. If the blue doll were the largest of the five Russian leader dolls and the Ivan the Terrible doll 2nd largest, since the Peter the Great doll isn't blue-hued (6), by clue 3, the Peter the Great doll would be the 4th and the gold doll would be the 5th largest, or smallest, in size--no (7). Thus the blue doll in clue 4 isn't the largest, or outer, of the nesting dolls. Since the Lenin doll isn't blue (1), by clue 4, the blue doll is the 4th largest and the Ivan the Terrible doll is the smallest of the set. Since the Peter the Great doll isn't blue (6), by clue 3, the Peter the Great doll is either the largest or the 2nd largest of the Matryoshka. If the Peter the Great doll were the 2nd to be opened in the nested order, with the Lenin doll then having a gold color scheme (3), there would be no way for clue 5, which says that the purple doll opens to the Catherine the Great doll, to work. So, the Peter the Great doll is the outermost doll of the five, and the gold-colored doll is 2nd. The gold doll isn't the one that is a caricature of Mikhail Gorbachev (7), so the Gorby doll is blue; the gold doll is the one of Catherine the Great. Then, by clue 5, the Peter the Great doll is purple in tone. Finally, by clue 2, the Ivan the Terrible doll is green and the Lenin doll red (go figure!). In sum, in order from largest to smallest, the five Matryoshka are

  • Peter the Great, purple
  • Catherine the Great, gold
  • Lenin, red
  • Mikhail Gorbachev, blue
  • Ivan the Terrible, green



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