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Lucky seven III (Posted on 2011-01-05) Difficulty: 3 of 5
N is a base ten positive integer formed by writing the digit 7 precisely 2010 times, that is N = 77....77 (2010 times).

Determine the digital root of [N/199].

Note: [x] denotes the greatest integer ≤ x.

*** For an extra challenge, solve this problem without using a computer program.

No Solution Yet Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnalytic AnswerBrian Smith2016-07-04 11:56:23
A lot of 7'sMath Man2011-01-05 15:28:21
With only a little cheatingJer2011-01-05 14:58:35
Solutionwithout the extra challenge (spoiler)Charlie2011-01-05 14:42:16
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