Difficulty: Medium
Correct Answer: Tuesday
Explanation:
Introduction / Context:
Day-of-week calculations can be done with anchor dates and counting offsets, or with modular arithmetic using month codes. We are told an anchor for 1996; we need the weekday of Aug 15, 2000.
Given Data / Assumptions:
Concept / Approach:
One robust method is to determine Jan 1 of 2000, then move to Aug 15, accounting for leap-day placement. Another is to use known algorithms (e.g., Zeller or Doomsday) to reach the weekday directly.
Step-by-Step Solution (sketch):
Doomsday for 2000 is Tuesday.In leap years, doomsday dates include 4/4, 6/6, 8/8, etc., which are all Tuesdays.From 8/8 (Tuesday), advance 7 days to 8/15: still Tuesday.
Verification / Alternative check:
Counting day differences via known weekday tables for the year 2000 (a leap year) also gives Tuesday.
Why Other Options Are Wrong:
Other listed weekdays do not align with the doomsday alignment for August in a leap year.
Common Pitfalls:
Forgetting that 2000 is a leap year; using non-leap month codes; miscounting 7-day cycles.
Final Answer:
Tuesday
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