If today is Wednesday, what day of the week will it be after exactly 45 days? — State PSC Exam

If today is Wednesday, what day of the week will it be after exactly $45$ days?

Answer: Saturday / saturday

Saturday

Because a week consists of

7

days, the day of the week repeats every

7

days. To find the day after

45

days, divide

45

7

, which yields a quotient of

6

and a remainder of

3

. This means exactly

6

full weeks and

3

additional days will pass. The

6

full weeks return the day to Wednesday. Counting forward

3

extra days from Wednesday results in Saturday.

Calculate the number of odd days by finding the remainder when 45 is divided by 7.

45 \div 7 = 6

with a remainder of

3

The days of the week repeat every 7 days, meaning full weeks do not change the day. We only need the remainder (odd days).

Count forward by the number of odd days from the given day.

Wednesday +

3

days = Saturday.

Moving

3

days forward from Wednesday sequentially gives Thursday, Friday, and Saturday.

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

Question