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Topic: A Coincidental Month Puzzle (Read 372 times) |
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K Sengupta
Senior Riddler
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A Coincidental Month Puzzle
« on: Feb 23rd, 2006, 10:55pm » |
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The twelve months Janauary, February, March, ....................., November and December (in that order) of a year are respectively assigned the values 0,1,2,............,10, 11 .
A given month corresponding to a specific year is defined as "Coincidental" when the remainder obtained by dividing a given year by 12 precisely corresponds to the value assigned to a month containing five SUNDAYS. For example, 2006 when divided by 12 yields a remainder of 2 but March,2006 does not contain five Sundays. Consequently MARCH,2006 is NOT A "COINCIDENTAL" MONTH.
Determine the total number of "Coincidental" Months occurring between 1980 A.D. and 2140 A.D.( both years inclusive) in accordance with Western (Gregorian) Calendar System.
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| « Last Edit: Feb 23rd, 2006, 11:01pm by K Sengupta » |
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markr
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Re: A Coincidental Month Puzzle
« Reply #1 on: Feb 24th, 2006, 10:51pm » |
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After a little bit of spreadsheet manipulation, I got 55 with the largest gap being 1999-2007 (exclusive).
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