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

21. As a reward for your service to the emperor, you are taken to the state treasury, or aerarium, situated in the temple of Saturn. Three chests are labeled gold, lead, and mixture, but a priest warns you that they are all mislabeled. He will show you one item from a single chest, and then you must make your choice. From which chest should you ask to see a sample and how should you decide which chest is filled with gold?

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

22. In the Curia Julia, it was customary for senators to sit on benches placed on tiers that ran along both sides of the building. They sat in no fixed order, but the most distinguished senators occupied the front benches; the youngest and least prominent men had to stand at the back on the top step. A raised platform opposite the door accommodated the consuls, presiding magistrates who occupied special folding stools made of ivory to denote their office. Based on the following information, identify the consul and five senators, their seating arrangement in the Curia Julia, the order in which they spoke, and the topic of their orations.

  • Titus did not speak; the first man to speak praised the new calendar.
  • Lucius, the last speaker, argued in favor of imposing new taxes.
  • Publius sat in the seat corresponding to his speaking order.
  • Marcus stood behind the second speaker, who reported on the war.
  • The next to the last speaker talked about the public games.
  • Gaius sat on the front row opposite the speaker on the grain supply.
  • Aulus sat in front of the fifth speaker.

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

    23. In CCLXXXVI, the Roman Empire was split between Maximius in the west and Diocletian in the east. The Western Empire ended in CDLXXVI with the death of Romulus Augustulus. How many years, in Roman numerals, did the Western Empire last?

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

    24. A few of the large homes in Pompeii appear to have been separate houses that were connected later. Can you draw this double-domus without lifting your pencil from the paper and without crossing or retracing any lines?

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

    25. Scintilla bought 6 books from a librarius for 17 denarii. The books sold for varying amounts: 1, 2, and 10 denarii. At the time of her purchase, 1 gold aureus = 25 silver denarii = 100 brass sestertii = 400 bronze asses.

    How many books of each price did she buy?

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

    26. The Great Pharoah wants to have a tomb built for his wife and asks two architects to submit plans for his approval. Ankh-Ka-Re suggests a pyramid with a triangular base measuring six blocks to a side. Hat-Shep-Sut designs one with a square base measuring five blocks to a side. It will take laborers one month to add each layer to the foundation. Which plan should the Pharoah choose to obtain the pyramid in the shortest length of time and with the fewest number of blocks?

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

    27. Prior to the 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 give a solution to this problem."

     
     
            Prove that one-half of nine is four.
     
     

    Hint: When in Rome, do as the Romans do ... count on it!

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

    28. Three laborers at the docks in Ostia earned 500 sestertii among them for helping to unload a grain ship from Egypt. Publius received three times what Marcus was paid, and Gaius received twice the amount that Publius earned. How much money did each man make?

     

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

    29. Which term below will continue the given sequence correctly?

    F A V E O
    N E X U S
    F E L I X
    F A C I O
    C A D U S

    (a) CUPIO (b) DOMUS (c) HORTO (d) NEPTIS (e) TENEO

    Hint: When in Rome, do as the Romans do ... count on it!

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

    30. Tignarius is an ingenious carpenter when it comes to working with scrap materials. With two straight cuts, he was able to saw this board in such a way that the three resulting pieces fitted together perfectly to form a rectangle twice as long as it is wide. Can you figure out his plan?

     

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

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