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

121. Eight matchsticks can be arranged to form a square and a rhombus as shown in the diagram.

square and rhombus

Can you form a square, a rhombus, and an equilateral triangle by moving only three matchsticks?

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


122. The plebeian aediles have invited five poets to perform at the Odeum of Domitian during the ludi scaenici next week. Each author will perform on a different day at a different time. In an effort to offer something for everyone, all the invited authors wrote in different genres. Based on the following information, match the name of each poet with his hometown, the title of his work, the genre of his poem, and the time and day of his performance.

  • The five poets include the one named Cornelius, the one who wrote Lacrimo, which was not an elegy, the one who performed on Wednesday, the one who was scheduled for 10 AM, and the one who came from Reate.
  • The title of the epyllion was not Juno, but it was the poem performed at 11 AM. The poet from Syracuse wrote an epigram. The performance on Monday was at 3 PM.
  • Ennius wrote the epode. He was not from Reate and did not perform on Tuesday. The poet who wrote the epic performed at 1 PM, but not on Friday, and he was not from Pompeii.
  • Brutus did not write Kalendae, but he did perform two days before the author of the epic. Aulus wrote Hilaro, but it was not an epyllion, and he did not come from Reate. The performance at 2 PM was not Impero.
  • Didius came from Tusculum and performed in the afternoon of the day before the poet from Utica. The three poets who performed in the afternoon included the author of Kalendae, the author who appeared on Thursday, and the author who wrote the epyllion.
  • The poet from Pompeii did not write Impero, but he did perform Tuesday morning. Aulus did not perform on Thursday, but he did perform in the morning.


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


    123. Can you draw this figure without lifting your pencil from the paper, retracing any lines, or crossing them?

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


    124. Can you draw this double crescent figure without lifting your pencil from the paper or retracing any lines?

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


    125. For the Saturnalia, Véronique spent a total of 88 sestertii for three gifts. The gift for Senex cost one-half as much as the gift for Iphigenia, and the gift for Genuflex cost one-third as much as the one for Iphigenia. At the time of her purchase, 1 gold aureus = 25 silver denarii = 100 brass sestertii = 400 bronze asses.

    How much did the gift for Iphigenia cost?

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


    126. An argentarius suspects that 1 of the 8 denarii which he received at his booth that day is counterfeit and weighs too little. Using only a balance scale, how can the banker tell which coin is the lighter weight counterfeit in just two weighings?

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


    127. 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."

    My housekeeper likes to buy eggs in bulk. Today she returned to the domus with165 eggs in four baskets, and there was an odd number of eggs in each. How is such a thing possible?


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


    128. Laborers in a quarry devised a primitive conveyor belt made of logs for moving massive blocks of stone. If each log has a circum-ference of two feet, how far forward will the block have moved when each log has made one complete revolution?

    quarry stone

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


    sudoku129. 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].


    130. Tignarius is an ingenious carpenter. He sawed through a perfect cube of wood with one straight cut to divide it equally and to form two perfectly heaxagonal surfaces. 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 VIII ]
    [ Design and Do IX ] [ Design and Do X ] [ Design and Do XI ] [ Design and Do XII ]
    [ Design and Do XIV ] [ Design and Do XV ] [ Design and Do XVI ] [ Design and Do XVII ]