Assume that Sunday is represented as day 0, Monday is represented as day1, and so on. If today is Wednesday (day 3), determine the day of the week it will be at the end of each period. Assume no leap years.

a) How many modular classes are there in this system?

b) 161 days from Wednesday (day 3)

c) 2 years from Wednesday (day 3)

Question

Assume that Sunday is represented as day 0, Monday is represented as day1, and so on.  If today is Wednesday  (day 3), determine the day of the week it will be at the end of each period.  Assume no leap years.

a) How many modular classes are there in this system?

b) 161 days from Wednesday (day 3)

c) 2 years from Wednesday (day 3)

mathmate · Answer

(corrected, again) a. 1 modular class (mod 7) 
b. Day (161+3) mod 7 = 3 
c. Day (365*2+3) mod 7 = 5

anonymous · Answer

What days of the week would that be though? That is what the question is asking.

across · Answer

o_o

mathmate · Answer

"Assume that Sunday is represented as day 0, Monday is represented as day1, and so on."
So 3 would be Wednesday, 5 would be Friday, etc.

anonymous · Answer

OHHH I see. Great! Thanks :)

mathmate · Answer

You're welcome!