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A puzzle related to mathematical facts and objects, whose solution needs mathematical arguments. General mathematics questions are off-topic but can be asked on Mathematics Stack Exchange.

9 votes
2 answers
683 views

For which numbers of animals, can positions of wheel match exactly one head and body at a time

A turnable wheel is attached flat to a wall. Evenly spaced around the edge of the wheel, are painted the heads of n different animals. Evenly spaced around the wheel on the wall, are painted the bod …
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  • 718
3 votes

Can you divide 1000 into two parts such that one part is a multiple of 47 and the other is a...

This was my thought process when I was 13/14 years old and I saw a question like this for the first time: The numbers we can get by combining (positive or negative) multiples of 19 and 47 are the same …
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  • 718
9 votes
2 answers
729 views

Stopping the bank robbers

A notorious gang of bank robbers use simple one time pads each time they plan a robbery. That is they represent a blank space as the number 0, the letters a to z as the numbers 1 to 26, and "." and " …
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  • 718