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The calendar of 1977 will repeat again in which of the following years?

medium Q8 of 15
Reasoning Ability - Calendar Problems
The calendar of 1977 will repeat again in which of the following years?
A1984
B1983
C1982
D1985
Step-by-Step Solution
  1. Step 1: Identify 1977 type

    1977 is a non-leap year.
  2. Step 2: Try 6-year candidate (1977 → 1983)

    Leap years between 1978–1982: 1980 → 1 leap; ordinary = 5.
  3. Step 3: Compute odd days

    Odd days = (5 × 1) + (1 × 2) = 5 + 2 = 7 → 7 ≡ 0 (mod 7) → calendars repeat.
  4. Final Answer:

    1983 → Option B
  5. Quick Check:

    Odd days sum 7 → repetition confirmed ✅
Quick Trick: Add 6 years for non-leap repeats and verify odd-day total.
Common Mistakes:
MISTAKES
  • Picking a nearby leap year instead of the actual repeat.
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