[net.puzzle] A Beauty Contest Logic Puzzle

jrrt@hogpd.UUCP (R.MITCHELL) (08/22/84)

The following puzzle come from THE SUNDAY TIMES BOOK OF BRAIN TEASERS,
compiled and edited by Victor Bryant and Ronald Postill (St. Martin's
Press, New York).  Answers will be posted in a week.

Five girls entered a beaut contest.  Each of the five judges had to
put them in a definite order and allot 15 marks between them.  The
aggregate marks for each girl decided the issue.  The judges each
gave a different maximum mark and also chose a different girl to be
top.  No girl had two identical marks in her score.

Joe gave the maximum possible to Rose, and he placed Gwen above
Linda.  Tom gave Ann one more point than Sam did.  Pam had no zero
in her score and although she finished ahead of Rose, she did not win.

Ann scored the only 5 that was allotted.  Dan placed the girls as
closely together as he could.  The judge who put Gwen first put Rose
last.  Brian succeeded in putting the m all in their correct final
order.

Who won, and what were her final individual marks from each judge?

Rob Mitchell
{allegra,ihnp4}!hogpd!jrrt
At least once a year, everyone is a genius.  - G. C. Lichtenburg