In 1996, Republic Day (Jan 26) was a Friday. On which weekday was Independence Day (Aug 15) in 2000?

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:

• 1996 is a leap year.
• Target date: Aug 15, 2000.

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