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Digits 0-9 (Posted on 2009-11-05) Difficulty: 3 of 5
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: ( You must be logged in to post comments.)
  Subject Author Date
Consideratumed bottemiller2009-11-05 17:46:05
Solution... and the rest (spoilers)Charlie2009-11-05 16:58:13
Now MaximumJim Keneipp2009-11-05 13:54:00
MinimumJim Keneipp2009-11-05 13:21:07
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