| By clue 3, the department led by Karen has offices one floor above Cash's
department, which is located one floor above the Sanitation Department.
By clue 8, Rhodes is situated one floor above Mike. Since Mike isn't Cash
(clue 10) and Rhodes isn't the head of the Sanitation Department (4), there is
no commonality between clues 3 and 8; and all five departments are given
as follows: either the department headed by Karen, the one Cash directs, and
the Sanitation department have floors 5, 4, and 3 with Rhodes' department on 2
and Mike's on 1; or Rhodes' department is on 5, Mike's on 4, Karen's on 3,
Cash's on 2, and the Sanitation Department on 1. By clue 6, Ben's offices
are one floor above the Comptroller's. Then the only way for the second of
the two possible arrangements of clues 3 and 8 (Rhodes on 5, etc.) to work
would be if Ben were Rhodes and Mike were the Comptroller--no (10). So,
Karen's department's offices are on the 5th floor, Cash's on the 4th, the
Sanitation Department's on the 3rd, Rhodes's on the 2nd, and Mike's on the
1st. Since Mike isn't the Comptroller (10), by clue 6, Ben must head the
Sanitation Department; and Rhodes is the City Comptroller. Alice is Cash
and John Rhodes (4). The Department of Fire and Safety is on a higher floor
than Piper's department (2). The director of Fire and Safety isn't Alice (9)
and must be Karen. Piper isn't Ben (5) and must be Mike. Karen is Spacey
and Ben Burns (1). By clue 7, Mike Piper manages the Transportation
Department and Alice Cash the Department of Parks and Recreation. The
Summerset municipal departments are located in offices at 1 Summerset Commons
as follows:
- 1st Floor: Transportation, Mike Piper
- 2nd Floor: Comptroller, John Rhodes
- 3rd Floor: Sanitation, Ben Burns
- 4th Floor: Parks and Recreation, Alice Cash
- 5th Floor: Fire and Safety, Karen Spacey
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