Twelve people share six college rooms.

The names of the individuals, the available room numbers and the colour of each room are given below, albeit not in the same order.

Names of the individuals: Kenneth, Ted, Daphne, Sheila, Derek, Alexa, Diandra, Gene, Tyra, James, Sarah and Grant.

Available Rooms: #1, #2, #3, #4, #5, #6.

Room Colours: Blue, Green, Yellow, Orange, Pink and White.

Match each of the individuals with their roommates, room numbers and colour of their rooms.

It is known that:

(I) Kenneth and Ted share a room.
(II) Derek does not live in room #6, which is yellow.
(III) Neither room #5 nor room #4 is blue or orange.
(IV) The pink room has an odd number, but it is not #3.
(V) Alexa lives in room #5 with Sheila.
(VI) Diandra's roommate is not Tyra.
(VII) The blue room is even numbered.
(VIII) James lives in the green room; Sheila in the white one.
(IX) Sarah is not in room #3.
(X) Grant's room is not blue.

See The Solution	Submitted by K Sengupta
Rating: 2.1429 (7 votes)

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Hidden assumption?

| Comment 1 of 11

Is there an assumption that roommates are of the same gender? I think most college dormitories require this still, but I'm sure there are some that don't, and besides it's not explicitly stated in the puzzle. As stated I'm not sure if there's enough information to determine a unique solution - I can determine which rooms are which colors, but not who goes where.

Edit - Even if roommates are required to be of the same gender, I can still definitely come up with multiple solutions that meet all criteria in the problem. Is there something I'm missing?

Edited on December 15, 2006, 11:22 am

Posted by Avin on 2006-12-15 11:06:32