if jan 1 2019 was tuesday ,with day of week lies on December 31,2019
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Tuesday
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Dec 31, 2019 will also be a Tuesday.
Starting from after the first day of the year, every 7th Day is the same day as the first.
eg. 8th January is also a Tuesday,15th is a Tuesday etc.
=> 8-1=7, 15-1=14 ,Hence if their difference is divisible by 7 then it's the same day.
Now December 31st is the 365th Day of the year as it is not a leap year.
And now 365-1 = 364 which is 7*52.
As their day number is divisible by 7 hence they have the same day of the week.
=> Dec 31st 2019 will also be a Tuesday.
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