AustMS Gazette Puzzle Corner 29

The Australian Mathematical Society Gazette’s Puzzle Corner is a regular column with
entertaining mathematical puzzles, here’s an example: 

"Final product 

Four real numbers can form six pairwise products.  If five of the six products are 2, 3,
4, 5 and 6, what is the sixth product?" 

You can find the Puzzle Corner, as well as the entire Gazette online at:
http://www.austms.org.au/Gazette+Volume+39+Number+4+September+2012 

Check it out when you feel like trying out random fun problems, and be sure to send your
solutions in.  A $50 book voucher is up for grabs for the best submission.  

Please e-mail solutions to ivanguo1986@gmail.com or send paper entries to: Kevin White,
School of Mathematics and Statistics, University of South Australia, Mawson Lakes SA
5095 

The deadline for submission is 21 December 2012.  The solutions will appear in the March
2013 issue of the Gazette.  

Thank you 

Ivan Guo