Reasoning Ability - Calendar Problems
Which year will have the same calendar as 2020 (a leap year)?
Which year will have the same calendar as 2020 (a leap year)?
hard Q10 of 15
Step-by-Step Solution
Step 1: Base year type
2020 is a leap year.Step 2: Use 28-year cycle
Leap-year calendars typically repeat after 28 years because the total odd days over 28 years = 35, which is divisible by 7. So check 2020 + 28 = 2048.Step 3: Verify odd days (2020 → 2048)
In 28 years there are 7 leap years and 21 ordinary years → odd days = (21 × 1) + (7 × 2) = 21 + 14 = 35 → 35 mod 7 = 0, so the calendars align.Final Answer:
2048 → Option AQuick Check:
Both 2020 and 2048 are leap years and the 28-year odd-day total is 35 ≡ 0 (mod 7) ✅
Quick Trick: For leap years, check +28 years first and confirm the odd-day sum is a multiple of 7.
Common Mistakes:
MISTAKES- Picking 2032 or 2040 (shorter gaps) without verifying odd-day remainder equals 0.
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