SOLUTION: Six friends are sitting in a rectangular table with 6 seats, one at the head of the table, and two on each long side of the table. The chairs are numbered from 1 through 6 in a clo

Algebra ->  Test -> SOLUTION: Six friends are sitting in a rectangular table with 6 seats, one at the head of the table, and two on each long side of the table. The chairs are numbered from 1 through 6 in a clo      Log On


   



Question 1155257: Six friends are sitting in a rectangular table with 6 seats, one at the head of the table, and two on each long side of the table. The chairs are numbered from 1 through 6 in a clockwise manner, beginning with the chair at the head of the table, such that chairs 1 and 4, 2 and 6, 3 and 5 are directly across the table from each other. Consequently, numbered chairs are adjacent to each other. Also, 1 and 6 are also adjacent to each other. Ed is sitting in chair 1 or 4. Bo and Fe are sitting adjacent to each other on one long side of the table. Vi and Bo are sitting NOT adjacent to each other. If Bo is sitting in chair 3 and Al is sitting in chair 6, which of the following pairs cannot sit directly across the table?
a. Bo and Jo
b. Ed and Jo
c. Ed and Vi
d. Vi and Bo
e. Vi and Jo

Answer by MathLover1(20850) About Me  (Show Source):
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Bo is in chair 3 and is adjacent to Fe on one long side, therefore Fe is sitting in chair 2.
So far, Fe is in chair 2, across is Al in chair 6, Bo is in chair 3, and Ed in chair 1 or 4.
Al is across Fe
Bo and Ed are not across one another, so Bo is across Jo or Vi.
So Jo and Vi cannot sit across each other.
answer:
e.Vi and Jo