Either / Or (Posted on 2006-05-13)

	Submitted by tomarken
Rating: 3.2500 (4 votes)
Solution:	(Hide)
Assume that the number is divisible by 9. This would mean: It is NOT divisible by 11. It is NOT divisible by 7. It IS divisible by 5. It is NOT divisible by 3. Of course, it cannot be divisible by 9 but not by 3, so this is not the case. Therefore, the number is divisible by 3, 7, and 11, but not by 5 or 9. Multiples of 3, 7, and 11 are 231, 462, 693, and 924. 693 is divisible by 9, so that cannot be correct. The correct answer must be divisible by either 4 or 6; 231 is divisible by neither, and 924 is divisible by both. Therefore the only number that works is 462 (it is divisible by 6, but not by 4 or 8).

	Subject	Author	Date
	Explanation for Puzzle Answer	K Sengupta	2022-02-24 20:37:52
	Puzzle Answer	K Sengupta	2022-02-24 20:33:56
	Solution	Praneeth	2007-08-20 04:15:58
	Answer	Thomas	2006-05-22 18:09:44
	re: The answer -- not so	Federico Kereki	2006-05-15 21:12:20
	re: The answer	Charlie	2006-05-15 16:07:43
	Negative thinking	Steve Herman	2006-05-15 11:25:45
	The answer	Lincoln	2006-05-15 10:58:02
	answer	Lincoln	2006-05-15 10:55:58
	re: 462	Robby Goetschalckx	2006-05-15 07:12:23
	Logically	e.g.	2006-05-15 07:06:26
	462	John	2006-05-14 07:35:09
	re: That depends on what	Dej Mar	2006-05-13 19:51:35
	re: That depends on what "or" is -- the truth values (spoilers)	Charlie	2006-05-13 12:59:49
	re: That depends on what "or" is -- the exclusive story (spoiler)	Charlie	2006-05-13 12:25:52
	That depends on what "or" is -- computer solution	Charlie	2006-05-13 12:22:48
	A but not B or is it when followed by C	Leming	2006-05-13 10:46:29
	A solution, perhaps?	Phil_Osopher	2006-05-13 10:21:09
	Answer	Vernon Lewis	2006-05-13 10:15:07