Do March and November have the same days of a week for the respective dates?

1. 70

   Mellyunpluggedposted 12 years ago

   Do March and November have the same days of a week for the respective dates?
   
   Any date in March is same day of the week as the corresponding date in November of that year. Yes or No? Please Justify  your answer
   
   

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2. 75

   Aficionadaposted 12 years ago

   Yes, in fact, they do, and a little "everyday math" can explain why.
   
   With seven days in a week, all months except for non-leap-year February have a few days more than a number of exactly complete weeks. That is, 28 days equal exactly four weeks by the calendar. So, the months with 30 days (April, June, and September) have two days more than exactly four weeks. The months with 31 days (March, May, July, August, and October) have three days more than exactly four weeks. (I'm only including the months from the beginning of March up to the beginning of November.)
   
   All of the "extra" days (3 x 2; 5 x 3) add up to 21 extra days, or exactly three weeks. Since all of the days from the beginning of March up to the beginning of November equal an exact number of weeks, then whatever day of the week was March 1 will be the same day on which November 1 occurs. And so forth.
   
   For the same reason (exact weeks), September and December dates fall on the same days of the week. September and November have 30 days (therefore 4 extra days between the two of them) and October has three extra days; 4+3=7, or exactly one week.

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   1. 70

      Mellyunpluggedposted 12 years agoin reply to this

      That was an awesome answer Aficionada....You have clearly explained why this happen...Also, I am surprised to know that even September and December dates also fall on the same days of the week... Thanks for the valuable information provided

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   2. 0

      paxwillposted 12 years agoin reply to this

      That's very cool, I didn't even realize this.

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   3. 75

      Aficionadaposted 12 years agoin reply to this

      It's really a fun pattern to observe.  There are other pairs, depending on whether it's leap-year or not: in non-leap-years, April+July; leap-year adds January to those 2; in non-leap-years, January+October; in non-leap-years February+March+November.

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   4. 70

      Mellyunpluggedposted 12 years agoin reply to this

      Ohh woow !! When I posted this question I never knew about other pairs. I just thought it is only with March and November. Great to know about other such pairs and leap years.

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