# how to determine the day of the week when some clues are given?

In a year, there are more Mondays than Fridays, and more Sundays than Wednesdays. Which day of the week is the first day in March of that year?

• How is this possible. As $365\equiv 1\pmod 7$, the day appears as the first of the year is only $53$ times that year. Other days are all $52$ times.One can consider a leap year, as $366\equiv 2\pmod 7$, but, there are two consecutive days are $53$ times. – user249332 Sep 20 '15 at 10:06
• @SubhadeepDey It must be a leap year that starts on Sunday. – N. F. Taussig Sep 20 '15 at 11:24
• @N.F.Taussig, oh yes, I missed that. Thank you. – user249332 Sep 20 '15 at 17:28