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

71. Can you cut and fold a piece of paper (5.5 cm X 9 cm) to form the figure shown without using any other techniques?

When you have a solution and want to verify it, click [CHECK].

72. All roads lead to Rome. Based on the map of Rome and the following information, match the travelers with their routes, day of travel, and home towns.

  • If the man who traveled on Thursday is Ennius, then he lives in Portus; otherwise, the traveler on Thursday is Decius, and he lives in Narnia.
  • If Aulus lives in Narnia, then he traveled on the via Flaminia; otherwise, he resides in Portus and took the via Appia.
  • If the man who lives in Tusculum took the via Appia, then he is Aulus; otherwise, the resident of Tusculum is Cassius, and he took the via Labicana.
  • If Brutus lives in Arpinum, then he used the via Flaminia; otherwise, Brutus lives in Ostia and took the via Ostiensis.
  • If the man who traveled on Wednesday lives in Arpinum, then the traveler on Friday took the via Portuensis; otherwise, the traveler on Wednesday lives in Ostia, and the one who traveled on Friday took the via Appia.
  • If the man who traveled on Tuesday took the via Portuensis, then he is Brutus; otherwise, the traveler on Tuesday is Aulus, and he used the via Flaminia.


    When you have a solution and want to verify it, click [CHECK].

    73. Can you correct this equation by moving only two matchsticks?

    matchsticks

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    74. Trimalchio has eight amphorae of Falernian wine to entertain his dinner guests. He wants to display them on a rack in the triclinium in such a way as to draw attention. Four or nine amphorae could form a square, but the placement of eight is more complicated. Can you help place them so that an even number occurs in each occupied row and column?

    When you have a solution and want to verify it, click [CHECK].

    75. Julia Major is nine times older than her daughter Julilla, but in nine years, she will be only three times older. How old are the mother and daughter at present?

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    76. The Roman steelyard (statēra) was a type of balance. It consisted of a scaled arm suspended off center, a hook at the shorter end on which to hang the object being weighed, and a counterbalance at the longer end that could be moved to find the weight.

    steelyard

    You are given 3 bags containing an unspecified number of coins in each bag. In two of the bags, the genuine coins weigh 50 grams each. In the remaining bag, each counterfeit coin weighs 55 grams. What is the minimum number of weighing procedures with the statēra that is needed to determine which bag contains the counterfeit coins?

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    77. 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."

           If Aulus starts at the Rostra and walks toward
           Brutus at the opposite end of the Forum, and
           Brutus starts walking toward Aulus at the
           same time, but twice as fast, who will be
           nearer the Rostra when they meet?


    When you have a solution and want to verify it, click [CHECK].

    78. Complete the puzzle by providing the correct letter to replace the question mark. (Hint: Each letter has a numerical value.)

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    sudoku79. 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?

    When you have a solution and want to verify it, click [CHECK].

    80. Tignarius is an ingenious carpenter. He was able to cut this board into four pieces that are identical in size and shape, each containing a knothole. Can you figure out his plan?

    When you have a solution and want to verify it, click [CHECK].

    • [ Design and Do I ] [ Design and Do II ] [ Design and Do III ] [ Design and Do IV ]
    [ Design and Do V ] [ Design and Do VI ] [ Design and Do VII ] [ Design and Do IX ]
    [ Design and Do X ] [ Design and Do XI ]