Years and Time

Question

The length of the year on the planet Mars is exactly 697 days. If Mars has a calendar with a 12-day week, and year 0 begins on the first day of the week, what is the next year which will begin on the first day of the week?

Answer 1

697/12 = 58 1/12

 

The 1/12 remainder means that year 1 will start on the 2nd day, year 2 will start on the 3rd day. Year 11 will start on the 12th day, so, year 12 will start back on the first day of the week.