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 $5 to the bellboy to return. On the way to the room the bellboy reasons that $5 would be difficult to share 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, totalling $27. The bellboy has $2, totalling $29. 
Where is the remaining dollar? 
*Answer* 
1) Ten years from now Tim will be twice as old as Jane was when Mary was nine times as old as Tim. 2) Eight years ago, Mary was half as old as Jane will be when Jane is one year older than Tim will be at the time when Mary will be five times as old as Tim will be two years from now. 3) When Tim was one year old, Mary was three years older than Tim will be when Jane is three times as old as Mary was six years before the time when Jane was half as old as Tim will be when Mary will be ten years older than Mary was when Jane was one-third as old as Tim will be when Mary will be three times as old as she was when Jane was born. 
HOW OLD ARE THEY NOW? 
*Answer* 
The kingdom of Mamajorca, was ruled by Queen Henrietta I. In Mamajorca women have to pass an extensive logic exam before they are allowed to get married. Queens do not have to take this exam. All the women in Mamajorca are loyal to their queen and do whatever she tells them to. The Queens of Mamajorca are truthful. All shots fired in Mamajorca can be heard in every house. All above facts are known to be common knowledge. 
Henrietta was worried about the infidelity of the married men in Mamajorca. She summoned all the wives to the town square, and made the following announcement. "There is at least one unfaithful husband in Mamajorca. All wives know which husbands are unfaithful, but have no knowledge about the fidelity of their own husband. You are forbidden to discuss your husband's faithfulness with any other woman. If you discover that your husband is unfaithful, you must shoot him at precisely midnight of the day you find that out." 
Thirty-nine silent nights followed the Queen's announcement. On the fortieth night, shots were heard. Queen Henrietta I is revered in Mamajorcan history. 
1. How many husbands were shot on that fateful night? 
2. Why is Queen Henrietta I revered in Mamajorca? 
*Answer* 
Queen Henrietta I was succeeded by daughter Queen Henrietta II. After a while Henrietta like her famous mother became worried about the infidelity problem. She decided to act, and sent a letter to her subjects (wives) that contained the exact words of Henrietta I's famous speech. She added that the letters were guarenteed to reach all wives eventually. 
Queen Henrietta II is remembered as a foolish and unjust Queen. 
Why? 
*Answer* 
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