perplexus.info :: Just Math : Eight-Digit Numbers In Reverse

Eight-Digit Numbers In Reverse (Posted on 2009-06-28)

Determine all possible value(s) of an eight-digit base ten positive integer having the form DISCOVER that uses each of the nonzero digits from 1 to 8 exactly once and satisfies all of these conditions:

ER is divisible by 2
VE is divisible by 3
OV is divisible by 4
CO is divisible by 5
SC is divisible by 6
IS is divisible by 7
DI is divisible by 8

Note: Think of this problem as a reverse of Ten-Digit Numbers.

Submitted by K Sengupta

Rating: 2.0000 (3 votes)

Solution: (Hide)

72185634 is the only eight-digit base ten positive integer in conformity with the given provisions.

For an explanation, refer to the solution submitted by Steve Herman in this location.

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

Subject	Author	Date
re: Manual Solution (spoiler)	Arsalan Malik	2009-07-03 08:44:19
re: Manual Solution (spoiler)	brianjn	2009-06-29 10:16:18
Manual Solution (spoiler)	Steve Herman	2009-06-28 13:57:27

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