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Logic Puzzle # 104 Logic Problems Help

Logic Problem Solution:
Big City

From the introduction, the business section of Big City consists of eight stores, four on each side of Main Street, with 1 Main St. directly opposite 2 Main St., 3 Main St. directly opposite 4 Main St., etc. By clue 5, Rosie's is between and next to the Laundromat and the Gas 'n' Go. By clue 1, Rosie's isn't the Hardware. If the Hardware were on the same side of the street as the three stores in clue 5, it would be one of the outside buildings and would be next to the Laundromat or Gas 'n' Go--but the Hardware is next door to the Hair Salon (9). So, the Hardware and the Hair Salon are next to each other across the street from the three stores in clue 5. By clue 2, Arthur's is adjacent to both Bart's and the Market. If Arthur's were on the same side of the street as the three stores in clue 5, Arthur's would be the Laundromat or the Gas 'n' Go. In either case, by clues 2 and 5, Rosie's would be the Market, which contradicts clue 10. Therefore, the three stores in clue 2 are on the same side of the street as the Hardware and the Hair Salon. Arthur's isn't the Hair Salon (12). Since Bart's isn't the Hair Salon (6), Arthur's can't be the Hardware (2). Arthur's must be next to the Hardware or the Hair Salon; since Bart's isn't the Hair Salon (6), Bart's is the Hardware, Arthur's is next to the Hardware on the side opposite the Hair Salon, and the Market is the store to the outside of Arthur's. By clue 1, Lula's is directly opposite the Hardware. Lula's can't be the fourth store to the three in clue 5, since Lula's must be an inside store like the Hardware. Lula's isn't the Gas 'n' Go (11) and must be the Laundromat. For the four stores on both sides of the street to be directly opposite each other, Rosie's must be opposite Arthur's and the Gas 'n' Go must be opposite the Market. By clue 8, Jack's is directly opposite the Auto Parts store. Jack's is the Hair Salon, and the Auto Parts store is next to Lula's Laundromat. By clue 12, Arthur's is the Cafe and Rosie's rents Videos. Donna's Market is next to Arthur's Cafe (4). By clue 3, the remaining two stores are Tony's Auto Parts and Gary's Gas 'n' Go. Neither Jack's nor Tony's Auto Parts is at 8 Main St. (8), so they are at 1 and 2 or vice versa. Since Gary's isn't at 7 Main St. (7), Donna's Market must be at 7 with Gary's address being 8 Main St. Then Jack's is at 1, Tony's at 2, Bart's at 3, Lula's at 4, Arthur's at 5, and Rosie's at 6 Main St. In summary, the eight stores that make up Big City's downtown are located at

  • 1 Main St., Jack's Hair Salon -- 2 Main St., Tony's Auto Parts
  • 3 Main St., Bart's Hardware -- 4 Main St., Lula's Laundromat
  • 5 Main St., Arthur's Cafe -- 6 Main St., Rosie's Videos
  • 7 Main St., Donna's Market -- 8 Main St., Gary's Gas 'n' Go Copyright © 2000-2007 by Calvin J. Hamilton & Randall L. Whipkey. All rights reserved. Privacy Statement.