If March 15th, 2012, was a Thursday, what day of the week was March 15th, 2014?
Correct Answer :
Saturday
Solution :
The correct answer is Saturday.
To determine the day of the week for March 15th, 2014, given that March 15th, 2012, was a Thursday, we calculate the number of extra days (odd days) accumulated over this time period.
Step 1: Understand the concept of odd days
A standard year consists of 365 days.
Because 52 full weeks account for 364 days, an ordinary year contributes exactly 1 odd day.
A leap year consists of 366 days and contributes 2 odd days due to the inclusion of February 29th.
Step 2: Analyze the relevant date interval
The timeframe is from March 15th, 2012, to March 15th, 2014.
Although 2012 was a leap year, February 29th, 2012, occurred before March 15th, 2012. Therefore, the leap day of 2012 is not within our given range.
Step 3: Count odd days year by year
1. From March 15th, 2012, to March 15th, 2013:
This interval spans 365 days (1 ordinary year), contributing 1 odd day.
2. From March 15th, 2013, to March 15th, 2014:
This interval also spans 365 days (1 ordinary year), contributing 1 odd day.
Total odd days accumulated:
Step 4: Find the final day of the week
Adding 2 odd days to the initial day (Thursday):
Thus, March 15th, 2014, was a Saturday.
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