Question:Prove that the calendar for 1995 will for 2009. 

Answer In order that the calendar for 1995 and 2006 be the same, 1st January of both the years must be on the same days week. For this, the total number of odd days between 3 1st Dec, 1994 and 31 st Dec, 2005 must be zero. We know that an ordinary year has 1 odd day and a leap year has 2 odd days. During this period there are 3 leap years, namely 1996 , 2000 and 2004 and 8 ordinary years. :. Total number of odd days during this period (6 + 8) + 14 = 0 i.e. 0 odd day. Hence, the calendar for 1995 will serve for 2006. 

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Prove that the calendar for 1995 will for 2009.
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