"Sunday," the Braindenizen declared.
"No! Thursday!" the Lyin' Lion retorted, but the Braindenizen didn't pay much attention- Rookie1ja's Brainden Party was Monday- he still had a day to make it there!
"Tell me," he said to the Logical Beings. "If I were to ask you which way to Rookie1ja's Palace, what would you say?"
"South," said the Lyin' Lion.
"North," snapped back the Hoppy Hare, glaring at the Lion.
"I see," said the Braindenizen. "Now what if I had asked you on Friday?"
"Probably south," the Lion persisted.
"East," the Hoppy Hare said.
"Thanks," the Braindenizen muttered, and headed West. Soon he was on the Royal Road, heading toward Rookie1ja's Palace, humming a tune about some prisoners that had recently escaped death row by guessing the colors of their hats. Apparently Rookie1ja had been stymied about their escape, and set himself to creating a new system for keeping in clever prisoners.
On the way to the Party, the Braindenizen came across a group of mathemiticians arguing under a tree. They were arguing over three questions that they had for each other.
"You guys know NOTHING about restaurants because you don't have girlfriends," one of them was saying haughtily.
"Nonsense," the second asked. "Ask us anything about restaurants!"
"Yeah!" pitched in the third.
"Hmmm," said the first mathemitician. "What's 3% x 5%, and what does it have to do with restaurants?"
The other mathemiticians went pale in the face.
"Well..." the second one, covering for his un-knowledge. "How about this one: You are in a room with two empty urns. You have 50 white balls and 50 black balls, and you can place them in either urn any way you like. After that, a random ball is picked from a random urn. How should you distribute the balls into the urns (you have to place all of them) to maximize the chances of picking a white ball?"
"Hmmm, interesting question," the third said, then he added quickly: "I have a few statements for you:
1. At least one of these ten statements is false.
2. At least two of these ten statements are false.
3. At least three of these ten statements are false.
4. At least four of these ten statements are false.
5. At least five of these ten statements are false.
6. At least six of these ten statements are false.
7. At least seven of these ten statements are false.
8. At least eight of these ten statements are false.
9. At least nine of these ten statements are false.
10. At least ten of these ten statements are false.
Which of the statements are true, my logical friends?"
The Braindenizen, who had been listening quietly, leaned in. "I believe I can help you gentlemen with those."
What are the answers to the three riddles?