To find the day of the week on 1 January 2017, we need to determine how many days elapsed from 1 January 2016 to 1 January 2017.
First, check if 2016 is a leap year.
A year is a leap year if it is divisible by 4 (with the exception that years divisible by 100 must also be divisible by 400).
2016÷4=504
Since 2016 is divisible by 4 and not a century year, 2016 is a leap year.
Therefore, 2016 has 366 days.
The number of days from 1 January 2016 to 1 January 2017 is 366 days.
To find the day of the week, we calculate:
366÷7=52 remainder 2
This means 366 days = 52 complete weeks + 2 extra days.
Starting from Friday (1 January 2016), adding 2 days:
Friday + 1 day = Saturday
Saturday + 1 day = Sunday
Therefore, 1 January 2017 was a Sunday.
The correct answer is Option 4: Sunday.