perplexus.info :: Just Math : Digits 1-7

Digits 1-7 (Posted on 2009-03-30)

A seven digit positive octal integer X is constituted by arranging the nonzero octal digits 1-7 in some order, so that:

The octal number formed by the first two digits is divisible by 2.
The octal number formed by the first three digits is divisible by 3.
The octal number formed by the first four digits is divisible by 4.
and, so on up to seven digits...

Determine all possible value(s) that X can assume.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

3254167,523476, and 5674321 are the possible octal numbers that correspond to the given conditions.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): computer solution	brianjn	2009-03-31 02:05:19
re(2): computer solution	Charlie	2009-03-30 17:50:25
web is helpful	Ady TZIDON	2009-03-30 17:09:09
re: computer solution	Stephanie	2009-03-30 16:52:35
Casting out 7's	Steve Herman	2009-03-30 15:29:41
computer solution	Charlie	2009-03-30 13:47:39

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