Reasoning Ability - Calendar Problems
Which of the following years will have the same calendar as 1991?
Which of the following years will have the same calendar as 1991?
easy Q2 of 15
Step-by-Step Solution
Step 1: Identify 1991 type
1991 is a non-leap year → ordinary = +1 odd day per year.Step 2: Check 11-year candidate (1991 → 2002)
Leap years between 1992–2001: 1992, 1996, 2000 → 3 leaps; ordinary = 8.Step 3: Compute odd days
Odd days = (8 × 1) + (3 × 2) = 8 + 6 = 14 → 14 ≡ 0 (mod 7). Therefore 2002 repeats 1991.Final Answer:
2002 → Option CQuick Check:
Odd days sum 14 → 0 mod 7 → calendars match ✅
Quick Trick: If 6-year gap fails, test 11-year gap for non-leap years and include leap years in count.
Common Mistakes:
MISTAKES- Assuming 6-year repeat without verifying leap-year count.
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