Calendar Questions Q.11

0. What was the day of the week on 16 June, 1999?

  • Option : C
  • Explanation : 16th June, 1999 = (1900 years + 98 years + period from 1.1.1999 to 16.6.1999)
    Now first deal with 1998 complete years; then how many odd days are there in 1998 years?
    Odd days in 1600 years = 0
    Odd days in 300 years = (5 × 3) = 1
    98 years have 24 leap years + 74 ordinary years. Number of odd days in 98 years (24 × 2 + 74) = 122 = 3 odd days.
    Now come to calculation of odd days in period from 1.1.1999 to 16.6.1999.
    MonthsJanFebMarchAprilMayJuneTotal
    Odd Days312831303116167
    167 days = 23 complete weeks plus 6 odd days (this result is obtained by dividing 167 days by 7).
    Total number of odd days = (0 + 1 + 3 + 6) = 10 ⇒ 3 odd days
    Thus, the day asked in the question is Wednesday
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