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

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 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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