+---+-------+---+
| 1 | 2 | |
+---+---+---| 3 |
| 4 | 5 | |
+-------+---+---+

Vera,one of the performers in a play,was murdered in her dressing room. The following facts refers to the dressing rooms shown above. Each of the five performers in the play - Vera, Adam, Babe, Clay and Dawn - had his or her own dressing room.

- The killer's dressing room and Vera's dressing room border on the same number of rooms.
- Vera's dressing room borders on Adam's dressing room and on Babe's dressing room.
- Clay's dressing room and Dawn's dressing room are the same size.
- Babe's dressing room does not border on Clay's dressing room.
- The five rooms come in precisely two distinct sizes. (For example, rooms 2, 3 and 4 have the same size.)

Who killed Vera?

Room 1 and 3 border on 2 rooms, Room 4 and 5 border on 3, and Room 2 borders on 4.

So, from clue 1, Vera is not in Room 2.

So where is Vera? Not in rooms 1 or 3, since either of these put A and B in the two adjacent rooms, and C and D in the two remaining rooms which are of different sizes, thus violating clue 3.

Also, V is not in room 5, because all of the bordering rooms are large. Once A and B are accounted for, the C and D rooms are again different sizes, in violation of clue 3.

So, V must be in room 4, and in order not to violate clue 3, A and B are in the small rooms. Then D is in room 2 (from clue 4), so C is in Room 3. Then B is in room 1 (from clue 4) so A is in room 5.

Thus, The only arrangement that works is

Room Borders on

1 B 2 rooms

2 D 4 rooms

3 C 2 rooms

4 V 3 rooms

5 A 3 rooms

And A is the killer, from clue 1