Calendar arithmetic — If today is Sunday, what day will it be after 69 days?

Introduction / Context:We apply modular arithmetic over a 7-day cycle to find the weekday 69 days after Sunday.

Given Data / Assumptions:

• Week length = 7.
• Start day = Sunday.

Concept / Approach:Compute 69 mod 7 and advance by that many days.

Step-by-Step Solution:69 ÷ 7 = 9 remainder 6.Advance by 6 days: Sunday → Monday(1) → Tuesday(2) → Wednesday(3) → Thursday(4) → Friday(5) → Saturday(6).

Verification / Alternative check:Since 63 days is exactly 9 weeks, 69 days is 63 + 6 → same as 6 days after Sunday.

Why Other Options Are Wrong:Tuesday/Thursday imply +2/+4 steps, not +6. “None of these” is wrong because a correct option (Saturday) exists.

Common Pitfalls:Counting the starting day as day 1 (inclusive count) rather than moving forward by the remainder.

Final Answer:Saturday.