Reasoning Ability - Calendar Problems
The calendar of 1996 (a leap year) will repeat again in which year?
The calendar of 1996 (a leap year) will repeat again in which year?
medium Q8 of 15
Step-by-Step Solution
Step 1: Identify base type
1996 is a leap year (divisible by 4, not by 100).Step 2: Apply leap-year repetition rule
Leap-year calendars usually repeat after 28 years because total odd days in 28 years = 35, which is divisible by 7.Step 3: Verify 1996 → 2024
Years between 1996 and 2024 = 28 years. Leap years within: 2000, 2004, 2008, 2012, 2016, 2020, 2024 → 7 leaps; ordinary years = 21.
Odd days = (21×1) + (7×2) = 21 + 14 = 35 → 35 mod 7 = 0 → calendars repeat exactly.Final Answer:
2024 → Option BQuick Check:
Both 1996 and 2024 are leap years; 28-year rule confirmed ✅
Quick Trick: Leap-year calendars repeat every 28 years when total odd days = multiple of 7.
Common Mistakes:
MISTAKES- Assuming a 24-year repeat (1996→2020) without checking leap-year alignment.
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