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 Digits 0-9 (Posted on 2009-11-05)
X is a positive eight-digit base ten integer of the form CONSIDER where each of the capital letters in bold denotes a different base ten digit from 0 to 9, and satisfies all of the following conditions, where C is nonzero.

• CO is divisible by 2.
• CON is divisible by 3.
• CONS is divisible by 4.
• CONSI is divisible by 5.
• CONSID is divisible by 6.
• CONSIDE is divisible by 7.
• CONSIDER is divisible by 8.
Determine the respective minimum and maximum value of X.

 No Solution Yet Submitted by K Sengupta Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Minimum | Comment 1 of 4
min(X) = 12,965,408 by trial & error, starting with the lowest possible values and backtracking (10, 102, 1024, etc.)
 Posted by Jim Keneipp on 2009-11-05 13:21:07

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