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.

	Submitted by K Sengupta
Rating: 2.1429 (7 votes)
Solution:	(Hide)
This problem has multiple solutions, and one of the solutions is as follows: 1. Gene and James live in Room #4, which is coloured green. 2. Diandra and Sarah live in Room #1, which is coloured pink. 3. Kenneth and Ted live in Room #6, which is coloured yellow. 4. Alexa and Sheila live in Room #5, which is coloured white. 5. Daphne and Tyra live in Room # 3, which is coloured orange. 6. Grant and Derek live in Room # 2, which is coloured blue. Refer to the comments for other solutions.

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	Subject	Author	Date
	Education	JamesYawn	2022-02-27 22:42:35
	no uniq solution exist....	vivek	2006-12-30 15:37:10
	no uniq solution exist....	vivek	2006-12-30 15:37:07
	solution	Chris Owens	2006-12-19 23:03:14
	Solution	Danielle Page	2006-12-19 18:33:29
	re(3): Another assumption... Well... Not really	James	2006-12-18 00:42:11
	re(2): Another assumption...	Penny	2006-12-15 15:08:13
	re: Hidden assumption?	Leming	2006-12-15 11:35:05
	re: Another assumption...	K Sengupta	2006-12-15 11:28:11
	Another assumption...	Avin	2006-12-15 11:12:46
	Hidden assumption?	Avin	2006-12-15 11:06:32