All-Star Puzzles
Home Contact Help Log Innot logged in
The Name's the Same
Classmates share the same six first and last names.
April 21, 2008
From the introduction, each of the six lunch friends has the same first name as another's last name. By clue 1, last Friday, the boy whose 1st name is Thomas was seated between the boy whose 1st name is Charles and the boy whose 2nd name is Anthony. We will arbitrarily number the lunch table chairs 1-6 in clockwise order and put the boy whose 1st name is Thomas in chair 1, the boy whose 1st name is Charles in chair 2, and the boy whose 2nd name is Anthony in chair 6. By clue 4, the boy whose 2nd name is Gregory sat between the boy whose 1st name is Anthony and the boy whose 2nd name is Brett. The boy whose 2nd name is Gregory isn't the one with 1st name Thomas, or one boy would be Anthony Anthony. The boy whose 2nd name is Gregory didn't sit in chair 5 for the same reason. If Gregory's 1st name were Charles, Brett's 1st name would be Thomas (clue 4)--no (5). Therefore, the boy whose 2nd name is Gregory sat in chair 3 or chair 4. If he had sat in chair 4, then the boy whose 1st name is Anthony and the boy whose 2nd name is Brett would have sat in chairs 3 and 5 respectively or vice versa. Trying the first arrangement, the boy whose 1st name is Anthony in chair 3 and the boy whose 2nd name is Brett in chair 5, by clue 2, the boy whose 2nd name is Thomas would have the 1st name Anthony--but one boy would be named Charles Charles, no. Trying the second arrangement, the boy whose 1st name is Anthony in chair 5 and the boy whose 2nd name is Brett in chair 3, by clue 2, the boy whose 2nd name is Thomas would be Charles in chair 2 with Thomas Charles in chair 1--no, since the intro specifies that no two boys share the same pair of names. Therefore, the boy whose 2nd name is Gregory did not sit in chair 4; he sat in chair 3. By clue 4, then, Charles Brett sat in chair 2 and the boy whose 1st name is Anthony sat in chair 4. If the boy whose 2nd name is Thomas in clue 2 had sat in chair 5, Anthony's 2nd name would be Charles--no (6). So, the boy whose 2nd name is Thomas in clue 2 is Anthony in chair 4. By clue 2, Scott Gregory was in chair 3 and the boy whose 2nd name is Charles in chair 5. By elimination, Thomas' last name is Scott. By clue 3, the boy whose 1st name is Brett sat to the immediate left of Thomas Scott. We thus have our arrangement of chairs 1-6 in counterclockwise order, since the boy whose 1st name is Brett must be the Anthony boy in chair 6 with Gregory Charles in chair 5. So, in clockwise order, the six name-sharing boys were seated in clockwise order as follows:

  • Thomas Scott
  • Brett Anthony
  • Gregory Charles
  • Anthony Thomas
  • Scott Gregory
  • Charles Brett

Copyright © 2002-2014 All-Star Puzzles. All rights reserved.
Contact | Help | Privacy Policy