Final answer:
March 1st and November 1st are on the same day of the week because from March 1st to November 1st, there is an exact number of weeks (35) with no extra days. To deduce the day for May 31st compared to August 1st, we count the days between and find that August 1st is six days ahead in the week from May 31st.
Step-by-step explanation:
The reason the 1st of March is always on the same day of the week as the 1st of November is due to the regularity of the calendar system. Each fixed number of days will always span an exact number of weeks plus some extra days. If we consider a non-leap year, from March 1st to November 1st, there are exactly 245 days. This period includes 7 months (March, April, May, June, July, August, October) and since February has 28 days (4 weeks exactly), it does not contribute any extra days. So, we have:
- March (31 days), April (30 days), May (31 days) for a total of 92 days.
- June (30 days), July (31 days), August (31 days) for a total of 92 days.
- September (30 days), October (31 days) for a total of 61 days.
Adding these up, we get 92 + 92 + 61 = 245 days. Dividing 245 by 7 (the number of days in a week) gives us 35 weeks exactly, with no additional days. This means that March 1st and November 1st should indeed fall on the same day of the week.
For the deduction, if May 31st has to be related to August 1st, we look at the number of days between these two dates which is 62 days (31 days in May + 31 days in July, as June and July have 30 and 31 days respectively). 62 days is 8 weeks and 6 days, so May 31st is 6 days ahead of a certain day in a week. Hence, if you know the day of the week for May 31st, you would need to move six days forward to reach August 1st.