Day-of-week arithmetic — If today is Thursday, what day will it be after 363 days?

Introduction / Context:Days-of-week questions reduce to modular arithmetic modulo 7. Each span of 7 days returns the calendar to the same weekday. We only need the remainder of the day count when divided by 7 to shift forward from the given day.

Given Data / Assumptions:

• Today is Thursday.
• We need the day after 363 days.
• A week is 7 days; weekdays cycle every 7.

Concept / Approach:Compute 363 mod 7 to get the net weekday shift. 7 × 51 = 357; 363 − 357 = 6. Therefore, we move 6 days ahead from Thursday.

Step-by-Step Solution:Remainder = 363 mod 7 = 6.Starting Thursday, +6 days: Friday (1), Saturday (2), Sunday (3), Monday (4), Tuesday (5), Wednesday (6).Therefore, the target day is Wednesday.

Verification / Alternative check:Because 364 is divisible by 7, 363 is one day short of a full-week multiple; being one short of a multiple of 7 means “previous day” relative to Thursday + 7k, i.e., Wednesday.

Why Other Options Are Wrong:Sunday, Saturday, and Thursday do not correspond to a +6 shift from Thursday; they represent remainders 3, 2, and 0 respectively.

Common Pitfalls:Accidentally counting inclusively (starting at 0) or going backward instead of forward by the remainder.

Final Answer:None of these (the correct day is Wednesday)