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

161. These matchsticks depict a donkey traveling east.

donkey direction

Can you move just one matchstick and make the donkey change direction?

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



162. At a meeting of the Senate, five men spoke for different lengths of time: Aulus, Marcus, Quintus, Titus, and Vibius. All of them wore a toga, but each had a different hair color. Based on the following statements, determine the order in which they spoke, the length of their speeches, and the color of their hair.

  • The senator with black hair spoke one minute shorter than Titus.
  • The senator with blond hair spoke longer than the one who spoke first.
  • Marcus spoke later than the senator who spoke one minute less than the one with ginger hair.
  • The red-headed senator spoke just before the one (not Aulus) with brown hair.
  • The speech of the senator who spoke fifth lasted one minute longer than the one with brown hair, but shorter than the red-headed one.
  • Quintus spoke immediately after the senator whose speech was one minute shorter than that of the senator with gray hair, whose speech lasted eight minutes.

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


    163. In the string of letters below, can you cross out all the unnecessary letters so that a logical sentence remains?

    A L A L T L H
    O E G U I C N A N L
    E S C E E N S T S E A N R C Y E L
    R E E T M A T E I R S N S  

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


    164. 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].


    165. A goblet is one-third full of wine, and another goblet, with equal capacity, is one-fourth full of wine. Each is filled with water, and their contents are mixed in a crātēra. Half of the mixture is poured into one of the goblets.

    Can you figure out how what proportion of this mixture is wine and what part water?

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


    166. One pan of a scale holds a fish weighing 9 pounds and a cheese wheel weighing 15 pounds. The other pan holds a cheese weighing 3 pounds and three melons. What is the average weight of the melons if the scale is balanced?

    balance scale

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


    167. 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 three letters will complete this sequence: O T T F F S S _ _ _?


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


    168. A Roman matron sent her children --an equal number of boys and girls-- to the bakery with a slave to purchase some buns. She gave the slave seven pennies to spend with instructions that each child received exactly the same value in buns. The buns were being sold at three prices: one for a penny, two for a penny, and three for a penny. Assuming that all the buns remained whole, how many buns, and of what type, did each child receive?

    bakery

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


    169. A generous patron set aside a certain amount of money for equal distribution to his clients each week. With the Saturnalia approaching, he remarked that if there were five fewer clients the next week, each would receive two sestertii more. Unfortunately, there were actually four more clients applying for the sportulae, and each one received one sestertius less for the morning salūtātio.

    sestertius

    How much did each person receive at the Saturnalian distribution?

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


    170. Tignarius wants to cut this board into four pieces that will fit together to form a square. Can you figure out where to saw?

    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 XIII ] [ Design and Do XIV ] [ Design and Do XV ] [ Design and Do XVI ]