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.
Months
Jan
Feb
March
April
May
June
Total
Odd Days
31
28
31
30
31
16
167
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