Logic Puzzle # 82 Logic Problems Help

Logic Problem Solution:
Babies of the Centuries

By clue 1, the last baby of the 20th century born at Summerset Hospital was born at 11:54 p.m. Dec. 31, and the first baby of the 21st century was born at 12:04 a.m. Jan. 1. By clue 2, David was born 22 mins. after the Walker girl and 3 mins. before Leann. David couldn't have been the last baby of the 20th century, or Leann would have been born at 11:57 p.m. (1), after David. If David were the first baby of the 21st century, born at 12:04 a.m., the Walker girl would have been born at 11:42 p.m. Dec. 31 and Leann at 12:07 a.m. Jan. 1. By clue 3, Sean was born 10 mins. before the Jones girl and 7 mins. after Tamara. The Jones girl couldn't be Leann, or Sean would have been born at 11:57 p.m., a conflict with clue 1, so the Jones girl would be the 4th baby to the three in clue 2. Then Tamara would have to be the Walker girl, and Sean would have been born at 11:49 p.m. and the Jones girl at 11:59 p.m. Dec. 31--no (1). So, David is neither the last baby of the 20th nor the first baby of the 21st century born at Summerset Hospital. Leann can't be the first baby of 2001, because David would have been born at 12:01 a.m. (1, 2), contradicting clue 1. If Leann were the last baby of the 20th century, born at 11:54 p.m. Dec. 31, David would have been born at 11:51 p.m. Dec. 31 and the Walker girl at 11:29 p.m. on Dec. 31. Using clue 3 again, Leann can't be the Jones girl or Sean would have been born at 11:44 p.m. and Tamara at 11:37 p.m., and there would be no newborn as the first baby of the 21st century. So either Sean or the Jones girl would be the first baby of 2001. If Sean were, Tamara would have been born at 11:57 p.m.--no (1). If the Jones girl were the first baby, Sean would have been born at 11:54 and Tamara at 11:47 p.m.--and we would have six babies. So, Leann isn't the last baby of the 20th or the first baby of the 21st century. Therefore, between clues 1 and 2, we have four babies: the last baby of 2000 born at 11:54 p.m., the first baby of 2001 born at 12:04 a.m., David, and Leann. By clue 3, Sean can't be the first baby of the 21st century or Tamara would have been born at 11:57 p.m. Dec. 31, too late. If the Jones girl were last baby of the 20th century, Sean would have been born at 11:44 p.m. and Tamara at 11:37 p.m.--but we would have six babies. The only way clue 3 can fit into the known arrangement is if Sean were the last baby of the 20th century and the Jones girl the first baby of the 21st. Tamara Walker was born at 11:47 p.m. Dec. 31 (3), David at 12:09 a.m. Jan. 1, and Leann at 12:12 Jan. 1, 2001. By elimination, Crystal is the Jones girl. David is the Knight baby (5). Leann is the Milanos' child and Sean the Richters'. In sum, the five babies were born at Summerset Hospital last night as follows:

• 11:47 p.m., Dec. 31, Tamara Walker
• 11:54 p.m., Dec. 31, Sean Richter
• ----- The last baby of the 20th century
• 12:04 a.m., Jan 1, Crystal Jones
• ----- The first baby of the 21st century
• 12:09 a.m., Jan. 1, David Knight
• 12:12 a.m., Jan. 1, Leann Milano