Design and Do X
This challenge contains 10 logic and reason items.

91. The senator Gaius Perplexus has lived one-fourth of his life as a boy, one-fifth as a youth, one-third as a man, and has spent 13 years in his dotage.

How old is the gentleman?

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92. In addition to gladiatorial matches (mūnera), an amphitheater was also used for wild animal hunts (vēnātiōnēs). Based on the diagram of the Flavian amphitheater and the following information, match the names of the bēstārī with their weapons, their prey, and the order in which they fought. The plan shows the magistrates' entrance (A), one of the performers' entrances (B), the imperial box (C), the emperor's entrance (D), the entrance from the ludus magnus (E), and some of the vomitōria (F).



  • The third bēstiārius to fight faced a lion.
  • The man who used a trident did not hunt the ostrich.
  • The match between Brutus and the rhino was not the first one.
  • Aulus and his prey were paired in the fourth match.
  • A bow was not used in the second match.
  • Decius fought neither the elephant nor in the last match.
  • A sword was used to hunt the bear.
  • Cassius was armed with a dagger and did not fight second or fifth.
  • The man who hunted the ostrich did not employ a spear; it was used by Ennius in the first match.

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    93. Can you make this equation correct by moving only one matchstick?

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    94. Can you connect all the dots with just three straight lines without lifting your pencil from the paper or retracing any lines?

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    95. Julia Major has two daughters named Julia Minor and Julilla. If the square of Julilla's age is added to the age of Julia Minor, the sum is 62; but if the square of Julia Minor's age is added to the age of Julilla, the result is 176.

    How old is each of Julia Major's daughters?

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    96. An unscrupulous merchant was discovered to be using false scales with pans of unequal weight. When put into one of the pans of the scales, a honeydew appeared to weigh four ounces more than nine-elevenths of its true weight. When put into the other pan, the melon appeared to weigh three pounds more than in the first pan. How many ounces did the honeydew truly weigh?

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    97. Prior to a meeting of the Senate, Gaius Perplexus challenged the assembly with this proposal: "I'll give an amphora of wine to the first citizen who can answer this question correctly."

           What word is missing from this list?


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    98. Complete the puzzle by providing the correct letter to replace the question mark. (Hint: There is a numerical relationship involved.)

    star puzzle

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    sudoku99. A curious puzzle from the East called sudoku has been brought to Rome. Each row and column should contain one of each of the Roman numerals I-VI. In addition, each of the shapes marked by thicker lines should also contain the Roman numerals I-VI. Are you able to solve this Roman sudoku?

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    100. Tignarius is an ingenious carpenter. He was able to cut three boards into six pieces that could be reassembled to form a table top measuring 25 inches square. The original pieces were 12 inches, 15 inches, and 16 inches square respectively. Can you figure out his plan?

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