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

31. Abracadabra is an occult word found in amulets to ward off disease or disaster. It was featured in a 2nd century poem by Serenus Sammonicus.

Starting with the top letter A and working downward, how many pathways to the bottom will spell the magic word?

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32. The Circus Maximus was a track used primarily for chariot races. During the time of Augustus, it could seat 150,000 spectators. At one end of the circus were the starting gates (carceres); at the other end was a Victors Gate (V). The emperor's seating box (P) was situated so that both the start and finish of a race were easily seen. A race consisted of seven laps around the turning posts at each end of the spina, a low wall running down the middle of the track. Based on the following information, identify the six spectators, their seats in the circus, the racing factions that they support, and their chosen snacks during the race.

  • The man with apples bet on the Red and sat next to the man who bet on the Purple.
  • The man who bet on the Green packed hard-boiled eggs for a snack.
  • Lucius sat closest to the starting gates and brought cheeses.
  • Aulus supported the Gold and sat on the same side as Publius, who never bets on Blue.
  • The man who sat closest to the Victors Gate snacked on pastries.
  • Gaius sat next to Titus, who cheered for the White and ate olives.
  • Marcus sat opposite of Titus and brought sausages to eat.

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    33. In CCLXXXVI, the Roman Empire was split between Maximius in the west and Diocletian in the east. The Eastern Empire ended in DLXV with the death of Justinian. How many years, in Roman numerals, did the Eastern Empire last?

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

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    35. "How many guests are there?" asked Scintilla during a holiday banquet.
    "I do not know," said the cook, "but every two used a dish for appetizers between them, every three used a dish for soup between them, and every four used a dish for meat between them."

    If there were 65 dishes in all, how many guests were present?

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    36. A small concert hall (odeum) containing 450 seats had a sold-out performance and earned 364 denarii as a result. The cost of admission was 2 asses for children, 8 sestertii for women, and 5 denarii for men. How many men, women, and children attended the performance if 108 adult tickets were sold and the monetary rate at the time was 4 asses = 1 sestertius = 1/4 denarius?

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    37. 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."

     
     
           This sentence has ____ letters.
     
     

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

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    38. Four senators go to the thermae to exercise and bathe. Each man takes oil to rub on the skin and a strigil to scrape it off afterward. As they leave the apodyterium, each man accidentally takes a strigil belonging to someone else and oil belonging to yet another man. Marcus takes the oil belonging to the man whose strigil got taken by Publius. Publius's oil was taken by the man who took Marcus' strigil. Septimus took Julius' strigil.

    Whose strigil and oil were taken by Marcus and Publius?

     

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    39. Which Roman numeral below will continue the given sequence correctly?

    XV   XXII   XXIX   XXXVI

    (a) VII (b) XLIII (c) L (d) LVII (e) LXIV

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    40. A rectangular sheet of green paper is placed on top of an identical sheet of red paper exactly as shown. Which part of the underlying red sheet is bigger, the part that is covered or the part that is uncovered?

     

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