| By clue 12, Pete's office is between those of Mr. Jackson and the Buick
service manager. By clue 5, Steve's job isn't as the Buick service
manager, nor is he Jackson (21); Steve doesn't work in either office
next to Pete. By clue 19, Steve's office is between Mr. Dailey's and
the Kia service manager's. If Steve and Pete had one office between
theirs, then either Jackson would be the Kia service manager--no (13)--or
Dailey would service Buick owners--no by clue 6. We now test whether
Pete and Steve have two offices between theirs. By clue 2, Mike has his
office between those of Mr. Hayden and the Dodge service manager. Since
Pete isn't the Dodge expert (11) or Mr. Hayden (8), Mike doesn't have his
office to Pete's. Similarly, since Steve doesn't service Dodges (5) and
isn't Hayden (21), Mike doesn't have his office next to Steve's. So,
Mike's office would be to the outside of Pete's or Steve's office in the
row. Since Hayden isn't the Kia service manager (17) and Dailey isn't
the Dodge rep (6), Mike would have to have at least two offices between
his and Steve's--impossible, since that would put Mike in an outside office,
which he doesn't have (2). So, Mike would have to work one office away
from Pete; and since Jackson isn't the Dodge service manager (13), Buick
service manager Hayden would have to have the office between Pete and Mike.
Mike and Steve would work in the offices next to the outside ones. The
Dodge service manager would have the end office next to Mike's (2), while
Mr. Jackson would have the office next to Pete toward Steve's office (12). By clue
16, Mr. Alvarez's office is between those of Ted and the Hyundai service
manager. If Pete were at Mr. Alvarez, Mr. Jackson would be the Hyundai
service manager, which he isn't (18). Because Ted isn't Jackson (18), Mr.
Alvarez also couldn't have the office between Jackson's and Steve's.
If Steve were Alvarez, by clues 16 and 19, Ted would work as the Kia service
manager--no (9). Therefore, there is no way for the arrangement of Pete
and Steve having two offices between theirs to work. Now we try three
offices between those of Steve and Pete. Since Steve isn't the Dodge
service manager (5) and isn't Hayden (21), Mike in clue 2 can't have
the office next to Steve's; nor can Mike have an office to the outside
of Steve's or he would be in an end office and isn't (2). If Mike were
in the office one apart from both Steve's and Pete's, by clues 2 and 19,
Hayden would be the Kia rep--no (17)--or Dailey would be the Dodge service
manager--also no (6). By clues 2 and 12, if Mike's office were next
to Pete's, Pete would be the Dodge rep, which he isn't (11), or he would be
Hayden, which he isn't (8). So, Mike's office would be two away from Pete's
to the outside of Pete's--but this would put Mike in an outside office and
contradict clue 2. So, the only arrangement that works is that there are four
other offices between those where Steve and Pete work, putting them in the
offices just inside the two outside offices. Again, since neither Steve
(21, 5) nor Pete (8, 11) is Hayden or the Dodge service manager, Mike isn't
in an office next to either of them (2). If Mike were separated from Steve
by one office, then by clues 2 and 19, Hayden would serve Kia
owners--no (17)--or Dailey would be the Dodge rep--also no (6). So, Mike is
separated from Pete by one office; and since Jackson isn't the Dodge service
manager (13), by clues 2 and 12, Buick rep Hayden has his office between
theirs. Then Jackson is in the outside office next to Pete's (12), and the
Dodge service manager has his office next to Mike's on the other side of
Hayden (2). Since Jackson isn't the Hyundai service manager (18), Pete isn't
Mr. Alvarez (16), nor is Mike, since he has the Buick and Dodge reps on either
side of him and not the Hyundai service manager (16). If Steve were Alvarez,
Ted would have to be the Kia service manager (16, 19), which he isn't (9).
Mr. Alvarez isn't the Dodge rep (4). Alvarez must have the office between the
Dodge rep's and Steve's. Then Steve works as the Hyundai service manager and
Ted as the Dodge one (16). By clue 19, Alvarez is the Kia service manager,
and Dailey has the office on the outside of the row next to Steve's.
By clue 7, Mr. Bryant helps Jeep owners and is thus Pete or Mike. Since Ray
has his office next to Bryant's (7) and isn't Buick rep Hayden (10), Bryant
must be Pete, and Ray is Jackson (10). Since Walt works next to the Hummer
service manager (1), he is Hayden and Mike services Hummers . Cox must be
the Hyundai service manager, and Dailey the Mini rep (20). By elimination,
Jackson is the Toyota service manager. Nick is Dailey, and Vic Alvarez is
the Kia rep (15). The Dodge service amanger is Mr. Green, and Mike Evers is
the Hummer service manager (3). Finally, by clue 14, Dailey's office is #8,
Cox's #7, etc., through Jackson's #1. In conclusion, the eight service
managers have offices at Cozy Valley Motors as follows:
- #1 - Ray Jackson, Toyota
- #2 - Pete Bryant, Jeep
- #3 - Walt Hayden, Buick
- #4 - Mike Evers, Hummer
- #5 - Ted Green, Dodge
- #6 - Vic Alvarez, Kia
- #7 - Steve Cox, Hyundai
- #8 - Nick Dailey, Mini
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