About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
July 1999
While bowling, you notice that the ten pins (arranged in a triangle) are labeled with the different integers 0,1,...,9, and that if two pins are side-by-side, the sum of their labels (reduced modulo 10) is equal to the label of the pin in front and between them. For example:
1 2 4 5
3 6 9
9 5
4
Add the labels of the two pins in the second row to obtain the label of the one pin in the first row: (9+5=14 = 4 mod 10). But in the example some of the pins have the same label; in the solution, they don't. While you are busy noticing this, your opponent makes a strike. How are the pins labeled? |
We will post the names of those who submit a correct, original solution! If you don't want your name posted then please include such a statement in your submission!
We invite visitors to our website to submit an elegant solution. Send your submission to the ponder@il.ibm.com.
If you have any problems you think we might enjoy, please send them in. All replies should be sent to: ponder@il.ibm.com
Challenge:
07/01/99 @ 12:00 AM EST
Solution:
08/01/99 @ 12:00 AM EST
List Updated:
08/01/99 @ 12:00 AM EST
People who answered correctly:
Attention: If your name is posted here and you wish it removed please send email to the ponder@il.ibm.com.