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Remainder: Part 1 (Posted on 2006-03-20) Difficulty: 3 of 5
A hundred digit number is formed by writing the first few natural numbers in front of each other as follows:

12345678910111213141516171819

Find the remainders when this number is divided by each of the numbers from 1 to 20.

No Solution Yet Submitted by Ravi Raja    
Rating: 2.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution computer solution for all (spoiler) | Comment 3 of 6 |
  1  0
  2  1
  3  2
  4  1
  5  0
  6  5
  7  6
  8  1
  9  5
 10  5
 11  1
 12  5
 13  1
 14 13
 15  5
 16  9
 17  3
 18  5
 19  4
 20  5

from the UBASIC program

    5   S$=""
   10   for I=1 to 55
   20      S$=S$+cutspc(str(I))
   30   next
   40   S$=left(S$,100)
   50   S=val(S$)
   60   for I=1 to 20
   70        print I;S@I
   80   next


  Posted by Charlie on 2006-03-20 11:33:14
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