Reasoning Ability - Calendar Problems
The next year having the same calendar as 2011 will be —
The next year having the same calendar as 2011 will be —
hard Q9 of 15
Step-by-Step Solution
Step 1: Identify 2011 type
2011 is an ordinary year.Step 2: Try 11-year candidate (2011 → 2022)
Leap years between 2012–2021: 2012, 2016, 2020 → 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 2022.Final Answer:
2022 → Option DQuick Check:
Odd days sum 14 → 0 mod 7 → repetition confirmed ✅
Quick Trick: If 6-year fails for non-leap years, test 11-year gap including leap counts.
Common Mistakes:
MISTAKES- Forgetting to include all leap years up to the candidate year.
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