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Either / Or (Posted on 2006-05-13) Difficulty: 2 of 5
I am a three digit number.
I am either divisible by 3 or by 5.
I am either divisible by 4 or by 6.
I am either divisible by 5 or by 7.
I am either divisible by 6 or by 8.
I am either divisible by 7 or by 9.
I am either divisible by 9 or by 11.

What am I?

(Note: "divisible" means leaving no remainder.)

See The Solution Submitted by tomarken    
Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: The answer | Comment 14 of 17 |
(In reply to The answer by Lincoln)

The problem with 810 is that it's divisible by both 3 and 5, while the supposed common understanding of either...or is to exclude the possibility of both parts being true.

If the possibility of an inclusive or is allowed, then all the following work:

126, 180, 252, 270, 360, 378, 450, 462, 504, 540, 630, 720, 756, 810, 882, 900, 924, 990


  Posted by Charlie on 2006-05-15 16:07:43
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