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0 votes
1 answer
982 views

Suppose today is Wednesday. What day of the week will it be $10^{{10}^{10}}$ days from now? [duplicate]

Question: Suppose today is Wednesday. What day of the week will it be $10^{{10}^{10}}$ days from now? Answer: This is what I have tried so far. I know that you need to find $10^{{10}^{10}}\text{mod} 7$...
Math Fanatic's user avatar
0 votes
0 answers
34 views

Number of 1st Jan Sundays between year a and b.

Given two year number a and b (eg a=1000 b=2000). Find the number of 1st January Sundays? Given 1st Jan 2001 was Monday? I figured that day sequence repeat after 28 years. But produced wrong answer. ...
dcusmeb's user avatar
2 votes
1 answer
2k views

Is Christmas equally Likely to fall on any day of the week? [duplicate]

Assuming Christmas day falls on the 25th of December every year, and using the Gregorian calendar, is it equally likely to fall on any day of the week? (With no prior knowledge about last year's ...
flabby99's user avatar
  • 176
18 votes
4 answers
10k views

Calculate which day of the week a date falls in using modular arithmetic

In Summer Wars the main character (he is a mathematician) calculates the day of the week of someone's birthday (19/07/1992 is Sunday). I know (very) basic modular arithmetic but I can't figure out how ...
Vicfred's user avatar
  • 2,797