What is the value of 1/2 of 2/3 of 3/4...

Riddle: A car's odometer shows 72927 miles, a palindromic number. What are the minimum miles you would need to travel to form another?

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Answer: 110 miles. (73037)

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Riddle: A clock chimes 5 times in 4 seconds. How many times will it chime in 10 seconds?

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Answer: 11 times. It chimes at zero and then once every second for 10 seconds

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Riddle: Three guests check into a hotel room. The manager says the bill is $30, so each guest pays $10. Later the manager realizes the bill should only have been $25. To rectify this, he gives the bellhop $5 as five one-dollar bills to return to the guests. The bellhop realizes that he cannot equally divide the five one-dollar bills among the three guests, so he just gives each guest $1 back and keeps $2 as a tip for himself. As each guest got $1 back, each guest only paid $9, bringing the total paid to $27. The bellhop kept $2, which when added to the $27, comes to $29. So if the guests originally handed over $30, what happened to the remaining $1?

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Answer: The $27 paid already includes the bellhop's tip, so $27 + 3x$1 in hand makes $30.

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Riddle: A certain number has three digits. The sum of the three digits equals 36 times this number. Seven times the left digit plus 9 is equal to 5 times the sum of the two other digits. 8 times the second digit minus 9 is equal to the sum of the first and third. What is the number?

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Answer: This one is fairly easy - 324 is the answer

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Riddle: Three people check into a hotel. They pay $30 to the manager and go to their room. The manager suddenly remembers that the room rate is $25 and gives $5 to the bellboy to return to the people. 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 missing $1?

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Answer: We have to be careful what we are adding together. Originally, they paid $30, they each received back $1, thus they now have only paid $27. Of this $27, $25 went to the manager for the room and $2 went to the bellboy

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Riddle: Trains travel from one town to another town all day, always on the same track, always going nonstop and at the same speed. The noon train took 80 minutes to complete the trip, but the 4 PM train took 1 hour and 20 minutes. Why?

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Answer: 80 minutes is the same as 1 hour and 20 minutes

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