1. When our Aunt Mabel died, she left a considerable amount of money to Alice, who was her favourite niece. Alice was 18 at the time and very independent. She decided to use some of the money to travel the world. One day she found herself on a remote island which consisted mainly of a large forest in which were some strange inhabitants. The forest was called The Forest of Forgetfulness, and Alice found that there were certain things she often forgot while in the forest. One of them was the day of the week.
Two frequent visitors to the Forest were the Lion and the Unicorn. The Lion lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week; the Unicorn lies on Thursdays, Fridays and Saturdays, and tells the truth on the other days of the week.
One day, Alice came upon the Lion and the Unicorn resting under a tree. They made statements as follows:
Lion: "Yesterday was one of my lying days."
Unicorn "Yesterday was one of my lying days too."
From these statements Alice, (who had forgotten what day it was), was able to deduce the day of the week. Now then - what was it?
(Acknowledgement: Raymond Smullyan)
2. The Post Office received a letter addressed as follows:
Fortunately, a distant relative of our Alice worked in the sorting office, and so the letter was correctly delivered. To where?