Three people check into a hotel. They pay $30 to the manager and go to their room. The manager finds out that the room rate is $25 and gives the bellboy $5 to return to the guests. On the way to the room the bellboy reasons that $5 would be difficult to split among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totaling $27. The bellboy has another $2, adding up to $29.
Where is the remaining dollar?
This is a nice nonsense. Each guest paid $9 because they gave $30 and they were given back $3. The manager got $25 and the difference ($2) has the bellboy. So it is nonsense to add the $2 to the $27, since the bellboy kept the $2.
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Sometimes I am bigger than you and sometimes I am smaller than you. Sometimes I follow you and sometimes you follow me. I don't have any weight. Who am I?
Two children, who were all tangled up in their reckoning of the days of the week, paused on their way to school to straighten matters out. "When the day after tomorrow is yesterday," said Priscilla, "then 'today' will be as far from Sunday as that day was which was 'today' when the day before yesterday was tomorrow!"
On which day of the week did this puzzling prattle occur?
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