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Consecutively Divisible (Posted on 2013-03-18) Difficulty: 4 of 5
PART A:

P is a positive integer such that each of sod(P-1), sod(P) and P+1 is divisible by 13. Determine the minimum value of P.

What if each of P-1, sod(P) and sod(P+1) is divisible by 13? How about each of sod(P-1), P and sod(P+1) being divisible by 13?

PART B:

What will be the respective answers to Part A, when the words "divisible by 13" are replaced with "divisible by 11"?

*** sod(x) refers to the sum of the digits in the base ten expansion of x.

No Solution Yet Submitted by K Sengupta    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re:1/6 remainingDej Mar2013-03-20 00:55:05
Some Thoughtsre: 5/6 of computer solutionDej Mar2013-03-19 08:18:32
Solution5/6 of computer solutionCharlie2013-03-18 15:05:17
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