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.)

I believe 462 satisfies the requirements. Divisible by 3 but not 5; 6 but not 4; 7 but not 5; 6 but not 8; 7 but not 9 and 11 but not 9.
Either/or  indicating o\nly one of pair allowed.
Thanks Tomarken I enjoyed solving that.

Posted by Vernon Lewis on 2006-05-13 10:15:07