| Neither the flute player (clue 2), oboist(5), violinist (6), nor cello player
(9) has been with the Summerset Symphony the shortest time, so the clarinet
player has been. By clue 4, the musician with the longest symphony tenure
has been with the orchestra 18 years longer than the clarinet player. If
the clarinet player has been with the group 7 years, by clue 1, Handel would
have been with the symphony 21 years longer. Therefore, the clarinet player
has been playing with the symphony for 6 years or less. By clues 3 and 8,
there must be two gaps of 12 years among the five lengths of tenure. If the
clarinetist has been with the symphony 1 year, Georgia would have 2 and Handel
4 years experience (1) and the person with longest service would have 19 years
in the orchestra (4). However, if the 19 years isn't the high of one of the
two gaps of 12 in clues 3 and 8, there would have to be six different lengths
of service; and if the 19 were one of the two highs in clues 3 and 8 and the
fifth tenure were then 7 years, there would be no way for two gaps of 12 to
exist. Similarly, the clarinet player's experience at 3 years gives tenures
of 6, 12, and 21 and the same problem, as does the clarinetist's experience at
5 years giving 10, 20, and 23. If the clarinet player has been with the
Summerset Symphony for 2 years, with Georgia then having 4, Handel 8 (1), and
the most senior musician 20 (4) years, the fifth musician would have to have
14 or 16 years tenure. If the years were 20, 14, 8, 4, and 2 or 20, 16, 8, 4,
and 2, however, there is no way for clue 5 to work. If the clarinet player's
years of service are 4, giving Georgia 8, Handel 16 (1), and the most senior
musician 22 (4), the only way for both the oboist (5) and the violinist (6) to
have 3 more years with the orchestra than other players would be for them to
have 22 and 19, or vice versa, years tenure. But then the cellist in clue 9
would have more than the high of 24 years with the orchestra. So, we are left
with the clarinetist being a 6-year veteran of the Summerset Symphony. Georgia
then has 12 and Handel 24 (1) years with the group; and since no two have the
same tenure (intro), in clue 4, Handel must be the most senior honoree. One of
the two 12-year gaps (3, 8) must be between Handel and Georgia, or we would
have six different numbers of years. Since Georgia isn't Bach (7), Walter
can't be Handel (3). By clue 8, then, Yolanda is Handel and Ravel Georgia.
Walter isn't the clarinet player (3), so either James or Maria is. In either
case, by clues 5 and 6, either the oboist or the violinist must have 9 years
tenure. Walter (3) must have either 21 or 18 years service, the fifth tenure
to the four decided; and by clue 6, Walter must be Wagner. Then the violinist
in clue 6 must have 9 years service. So, Walter Wagner has been with the
symphony 18 years and Bach for 6 (3). In clue 6, Maria is Bach and
plays the clarinet. By elimination, the violinist is James Schubert.
By clue 5, Georgia Ravel plays the oboe. Yolanda is the cellist (9) and
Walter the flutist. In sum, the five honored musicians, the instruments
they play, and their lengths of service with the Summerset Symphony are
- Yolanda Handel, cello, 24 years
- Walter Wagner, flute, 18 years
- Georgia Ravel, oboe, 12 years
- James Schubert, violin, 9 years
- Maria Bach, clarinet, 6 years
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