Reasoning Ability - Calendar Problems
Find the next year after 2020 that will have the same calendar as 2020 (a leap year).
Find the next year after 2020 that will have the same calendar as 2020 (a leap year).
medium Q5 of 15
Step-by-Step Solution
Step 1: Identify 2020 type
2020 is a leap year; matching calendar must also be a leap year.Step 2: Apply leap-year repetition
Full 28-year leap-cycle gives 2020 + 28 = 2048 as the standard next full-calendar repeat.Step 3: Verify
2048 is a leap year and odd-day accumulation over 28 years ≡ 0 (mod 7) → calendars align exactly.Final Answer:
2048 → Option AQuick Check:
2020 → 2048 (28 years) preserves leap status and weekdays → repeat ✅
Quick Trick: Leap-year calendars typically repeat after 28 years; check earlier spans only if proven by odd-day sums.
Common Mistakes:
MISTAKES- Assuming a 20-year or other shorter repeat without verifying odd-day total.
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