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

1. Can you draw this simple Roman 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].


2. Can you cut a piece of paper (6 cm x 10 cm) in such a way that part A will stand perpendicular to surface B?

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


3. Can you push a coin through a hole in a piece of paper when the coin is several millimeters larger than the hole?

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


4. Can you determine which of 20 cells holds your friend who was thrown into the Tullianum? Six different guards give you some information, but one of them lies! Here's what they tell you about the cell:


a. It's an odd number.
b. It's an even number.
c. It's a double-digit number.
d. It has at least one digit that is a 1.
e. It's a multiple of 3.
f. It's between 6-13.

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


finery5. Out of 100 guests attending a Saturnalia banquet, 85 wore gold fibulae, 75 wore red slippers, 60 had silk stolae, and 90 wore finger rings.

If every guest wore at least three of the accessories, how many guests must have worn all four?

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


6. What is the sum of adding MCMXLIII and LVII?

abacus

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


Falco7. Falco scratched his head in bewilderment. "There's no way to solve this case, Helena. We know that the murder was committed by one of five people: the cook, the wife, the teacher, the doorkeeper, or the slave-girl. I have three sworn statements, but I don't see how they can all be true." Helena looked at the three statements:
       a. It was either the ancilla or the uxor.
       b. It was neither the ianitor nor the magister.
       c. It was either the coquus or the magister.
"Well," she said, "you're right. They can't all three be true. In fact, they are all three false. So it must have been ...." But the baby started to wail, and Falco couldn't hear the name. Can you help him?

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


8. An argentarius suspects that 2 of the 7 denarii which he received at his booth that day weigh more than the others. Using a scale, but no weights, what is the minimum number of steps needed for the banker to tell which are the two heavy coins?

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


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

P A I N T
N E V E R
T E X A S
R E L A Y
B A C O N

(a) DANCE (b) IDEAL (c) ITALY (d) ORDER (e) JUROR

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

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


10. An Arab named Al-jabar attends a Saturnalia banquet where half the guests are Romans and half are foreigners who speak little Latin. Each guest says "Salve!" to the host, and to be polite, says hello to all other guests in their native languages. The host replies "Salve!" to every guest.

salaam

How many guests were there if salve was said 78 times in all?

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

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