Easy to visualize but challenging to solve: that's the kind of math puzzle you get here, one per episode.(Do you love the Car Talk Puzzler too? Yeah, that's what I'm trying for here, only with even more of a math bent.)
24: Santa's big sleigh [****]
A parking lot has 16 spaces in a row. Twelve cars arrive, each of which requires one parking space, and their drivers choose their spaces at random from among the available spaces. Santa Claus then arrives in his oversized and very full sleigh, which...
23: Your prime choice [***]
What’s the largest 2-digit prime factor of “200 choose 100”?
Spiciness: *** out of ****
22: Split the check [*]
Last week, two of my friends and I went to a restaurant and had a lovely meal. We decided to evenly split the check, so we asked the waiter to just combine the totals. However, when the waiter came with the check, he revealed that there had been a...
21: The faulty odometer [***]
A faulty car odometer proceeds from digit 3 to digit 5, always skipping the digit
4, regardless of position. For example, after traveling one mile the odometer
changed from 000039 to 000050. If the odometer now reads 001729, how many
miles has the...
20: The middle digit [**]
How many three-digit numbers satisfy the property that the middle digit is the average of the first and the last digits?
Spiciness: ** out of ****
19: The token tax [**]
A game is played with tokens according to the following rule. In each round, the player with the most tokens gives one token to each of the other players and also places one token into a discard pile. The game ends when some player runs out of tokens....