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As with all logic problems of this sort, a logic chart helps a great detail. For examples of logic problems with charts, check out www.puzzlersrest.com. And now for the solution ...
The age of each man is unique and a multiple of 12 (given), so the possible ages (excluding 12, since a 12-year-old would not be a man) are 24, 36, 48, 60, 72, 84, 96, etc. Let the five ages, from youngest to oldest, be I, II, III, IV, and V. We know V-I = Alberts age (clue 7), which is less than 70 (given). Therefore either V-I = 48, making the five ages consecutive multiples of 12, or V-I = 60. I+II <= III, IV, or V (clue 3) and I is at least 24, so III is at least 24 greater than II and the ages cannot be consecutive multiples. Thus V-I must be 60 and I = 24. 24+II <= 60, so II = 36 and III = 60. V = 24+60 = 84. IV is therefore 72. To sum up, the five ages are 24, 36, 60, 72, and 84, with 60 being Alberts age.
Blake lives on the 1st or 2nd floor (6), and Calvin does not live above the third floor (2). Mr. Knight does not live on the 3rd floor (3), so Dan does not live on the 1st or 5th floor (9). Also, Edgar is one of the two youngest (3), but the age of the man on the fifth floor is above average (10). Thus Albert lives on the fifth floor.
The banker does not live on the 3rd floor (3). He is also one of the two youngest men and therefore not on the 5th floor (10), so Dan cannot live on the 4th floor (9), so Edgar must be on the 4th floor. This means the banker, Mr. Knight, and the man in apartment B are not on the 4th floor (3). Since Dan cannot live on the 2nd floor (9), he must be on the 3rd, putting the banker on the 2nd. Also, since the man on the 4th floor lives in either A or B (5), he must be in 4A. The zookeeper is not in 4A (1), nor is he below the 4th floor (6), so he must be on the 5th floor.
The banker does not live in apartment B (3), D or E (4). Since Edgar is in 4A and the banker is not, the banker must be in apartment C, specifically 2C. Thus Blake is on the 1st floor (6), leaving Calvin on the 2nd. The electrician lives in C or D (5), but with the banker in 2C, the electrician must be in D. Since the electrician lives in a diagonal line with Calvin and the pastry chef (8), the electrician must be in 1D and the pastry chef must be in 4A. The nurse is therefore on the 3rd floor. Since 3B is not an option (3), the nurse lives in 3E, and the last apartment is 5B.
Calvin the banker is not the youngest (7), but he is one of the two youngest (3), so his age is 36. Thus Edgar is 24 (3). The second oldest man lives to the right of the electrician (5), putting him in 3E. Since Albert the 60-year-old is in 5B, the oldest lives in 1D.
The banker in 2C is not Mr. Loomis (2), Mr. Knight (3), Mr. Masse (4), or Mr. James (6), so he must be Mr. Nash. Mr. Knight is not in 5B (3), so he must live on the 1st floor. Mr. Masse does not live in apartment A or B (4), so he must be in 3E. Mr. James lives on either the 3rd or 4th floor (6), so he must be in 4A, leaving Mr. Loomis on the 5th floor.
The complete solution is therefore:
Albert Loomis, 60, zookeeper, apartment 5B
Blake Knight, 84, electrician (retired), apartment 1D
Calvin Nash, 36, Banker, apartment 2C
Dan Masse, 72, nurse (retired), apartment 3E
Edgar James, 24, pastry chef, apartment 4A
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