Reasoning Ability - Calendar Problems
Which year will have the same calendar as 1999?
Which year will have the same calendar as 1999?
medium Q6 of 15
Step-by-Step Solution
Step 1: Identify 1999 type
1999 is a non-leap year.Step 2: Try 11-year candidate (1999 → 2010)
Leap years between 2000–2009: 2000, 2004, 2008 → 3 leaps; ordinary = 8.Step 3: Compute odd days
Odd days = (8 × 1) + (3 × 2) = 8 + 6 = 14 → 14 ≡ 0 (mod 7) → calendars repeat in 2010.Final Answer:
2010 → Option DQuick Check:
1999 → 2010 odd days 14 → repeat ✅
Quick Trick: Near century boundaries, 11-year repeats are common for ordinary years with appropriate leap counts.
Common Mistakes:
MISTAKES- Miscounting leaps around 2000 boundary.
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