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Zorluk: KolayClocks and Calendars

If today is Wednesday, what day of the week will it be after exactly 4545 days?

Cevap: Saturday / saturday

Cevap

Saturday
Because a week consists of 77 days, the day of the week repeats every 77 days. To find the day after 4545 days, divide 4545 by 77, which yields a quotient of 66 and a remainder of 33. This means exactly 66 full weeks and 33 additional days will pass. The 66 full weeks return the day to Wednesday. Counting forward 33 extra days from Wednesday results in Saturday.

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1
Calculate the number of odd days by finding the remainder when 45 is divided by 7.
45÷7=645 \div 7 = 6 with a remainder of 33.
The days of the week repeat every 7 days, meaning full weeks do not change the day. We only need the remainder (odd days).
2
Count forward by the number of odd days from the given day.
Wednesday + 33 days = Saturday.
Moving 33 days forward from Wednesday sequentially gives Thursday, Friday, and Saturday.

Anahtar Kavram

Calculating future days of the week using odd days (modulo 7 arithmetic).
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