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Multiply Month and Day (Posted on 2011-11-12) Difficulty: 3 of 5
A "product digit-day" is a date in which the respective product of the digits of the month and the day multiply up to the product of the digits of the year in the mm-dd-yy format.

For example,12-18-28 is a product digit-day as the respective product of the digits of the month and the day multiply up to 16 which is equal to the product of the digits of the year.

(i) Determine the total number of product digit-days from January 1, 2001 to December 31, 2099 inclusively.

(ii) Determine the year(s) having the maximum number of product digit-days in the period covered under (i).

(iii) Determine the last product digit-day in the period covered under (i).

  Submitted by K Sengupta    
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Solution: (Hide)
(i) The total number of product digit-days from January 1, 2001 to December 31, 2099 inclusively is 6020.

(ii) The years 04, 08, 20, 40, 60 and 80 contain the maximum number of product digit- days in the period covered under (i).

(iii) The last product digit-day in the period covered under (i) will be 12-29-94.

For a detailed explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: computer solutionK Sengupta2012-03-21 10:00:50
Solutioncomputer solutionCharlie2011-11-12 18:40:03
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