On 8th February, 2020 it was Saturday. What was the day of the week on 1st February, 2016 ?
Question
On 8th February, 2020 it was Saturday. What was the day of the week on 1st February, 2016?
Solution
To find the day of the week for 1st February, 2016, we need to calculate the total number of days between 8th February, 2020 and 1st February, 2016, and then divide that number by 7 (the number of days in a week) to find the remainder. The remainder will tell us how many days to go back or forward from Saturday (the known day of the week for 8th February, 2020) to find the day of the week for 1st February, 2016.
Here are the steps:
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Calculate the total number of days in each year from 2016 to 2020:
- 2016: It's a leap year, so it has 366 days.
- 2017, 2018, and 2019: These are not leap years, so each has 365 days.
- 2020: We're only interested in the days up to 8th February, which is 39 days.
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Add up all these days: 366 + 365 + 365 + 365 + 39 = 1500 days.
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Divide 1500 by 7 to find the remainder: 1500 ÷ 7 = 214 remainder 2. This means that 1st February, 2016 is 2 days before 8th February, 2020.
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Go back 2 days from Saturday: Saturday - 2 days = Thursday.
So, the day of the week on 1st February, 2016 was Thursday.
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