The Hatter, the Hare, the Rabbit, the Mouse, Alice and I met for a Tea Party. The table had two sides, with three chairs on each side, numbered like so:

Side A: 1 2 3
Side B: 6 5 4

Chair one was across from chair 6, chair 2 across from chair 5, etc. We would sit down one at a time, in any chair we choose. The first guest to sit down was called the first guest. After the second guest sat down, however, everyone moved clockwise to the next chair. This behavior was continued after the fourth and sixth guest sat down.

My question is, after everyone had been seated, where was I seated?

(1) The first guest sat in chair 1.
(2) The mouse sat down last.
(3) After the first time everyone moved, no one had been on side B yet.
(4) The Hatter and Alice choose the same starting chair.
(5) When I was in chair 1, the Rabbit was in chair 6.
(6) I started on side B, but didn't end there.
(7) The hare moved all three times.
(8) Alice ended up between the mouse and the hare.
(9) I sat down after the rabbit but before the hatter.
(10) The mouse sat down in an odd numbered chair.

Also, a bonus question. Who am I?

I end up in seat 2.

The first person chose seat 1, and the second person chose sear 2, so that neither was on side B yet after the first seat change.

I started in 4, 5, or 6 (side B), but ended up in 1, 2, or 3 (side A).  If I started in seat 4, then it took all three seat changes for me to end up on side A, so I must have been first or second to sit.  Neither the first nor second person to sit chose a seat on side B, so I was not first or second and therefore could not have started in seat 4.  I started in 5 or 6, and ended up in seat 1 or 2.

The Hare was either first or second to sit, because he moved all three times.  He ended up in seat 4 if he was first or seat 5 if he was second.  Alice ended up between the Mouse and the Hare, so the Hare did not end in seat 5 or start in seat 2.  He ended in seat 4, with Alice in 5 and the Mouse in 6.

The Rabbit was in seat 6 when I was in seat 1, so I did not end in seat 1.  Therefore, I ended in seat 2.

Posted by Joy on 2005-05-26 22:58:34