In the year 1996, the republic day was celebrated on Friday. On which day the Independence Day was celebrated in the year 2000?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Tuesday
The weekday repeats every 7 days, so only the odd days, the days left over after whole weeks, move it forward. An ordinary year has 365 days = 52 weeks + 1 day, and a year that takes in 29 February has 366 days = 52 weeks + 2 days.
From 26 January 1996 to 26 January 2000:
26 Jan 1996 to 26 Jan 1997 takes in 29 February 1996: 2 odd days
1997, 1998 and 1999 add 1 odd day each: 3 odd days
Total 5 odd days, so 26 January 2000 is Friday + 5 = Wednesday
From 26 January 2000 to 15 August 2000 (2000 is a leap year, so February has 29 days):
Days: 5 (rest of January) + 29 + 31 + 30 + 31 + 30 + 31 + 15 (August) = 202
\(202=28\times7+6\), that is, 6 odd days
Wednesday + 6 = Tuesday
Tip: 2000 is a leap year although it ends in 00, because it is divisible by 400. Counting it as an ordinary year gives Monday, Option (1).