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A man turned 75 on Monday in 2020. What day was he born?

medium Q4 of 15
Reasoning Ability - Calendar Problems
A man turned 75 on Monday in 2020. What day was he born?
AFriday
BSunday
CSaturday
DThursday
Step-by-Step Solution
  1. Step 1: Find birth year

    2020 − 75 = 1945.
  2. Step 2: Count leap years

    Completed years 1945–2019 → leap years from 1948 to 2016 → 18 leaps.
  3. Step 3: Compute odd days

    Ordinary = 57×1 = 57; Leap = 18×2 = 36; Total = 93 → 93 mod 7 = 2 odd days.
  4. Step 4: Back-calculate birth weekday

    75th birthday = Monday. Birth weekday = Monday − 2 = Saturday.
  5. Final Answer:

    Saturday → Option C
  6. Quick Check:

    Saturday + 2 = Monday ✅
Quick Trick: For very large ages, reduce via mod 7 after summing odd days.
Common Mistakes:
MISTAKES
  • Off-by-one in leap counting across centuries.
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