Mrs. Susheela celebrated her wedding anniversary on Tuesday, 30 September 1997. In which year will 30 September again fall on a Tuesday (next occurrence)?

Difficulty: Medium

Correct Answer: 30th September, 2003

Explanation:


Introduction / Context:
We need the next year in which the date 30 September falls on the same weekday (Tuesday) as it did in 1997.



Given Data / Assumptions:

  • Reference: 30 Sep 1997 was Tuesday.
  • Leap-year effect: moving from one year to the next changes the weekday by +1 in a common year and by +2 when crossing a leap year (for dates after February).


Concept / Approach:
Advance year by year from 1997 until 30 September falls on Tuesday again, accounting for leap-year shifts.



Step-by-Step Solution:
1998 (non-leap): Tuesday → Wednesday.1999 (non-leap): Wednesday → Thursday.2000 (leap year; date after Feb): +2 → Thursday → Saturday.2001 (non-leap): Saturday → Sunday.2002 (non-leap): Sunday → Monday.2003 (non-leap): Monday → Tuesday.



Verification / Alternative check:
Cross-check with a perpetual calendar or apply Zeller's congruence; 2003-09-30 is Tuesday.



Why Other Options Are Wrong:
2002 gives Monday; 2004 shifts beyond and is not the next. “30 October, 2003” changes the month entirely.



Common Pitfalls:
Forgetting the +2 shift for dates after February in leap years (e.g., across 2000).



Final Answer:
30th September, 2003

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