If Republic Day was celebrated on a Friday in 1996, on which day was Independence Day celebrated in 2000?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → Tuesday
Count the odd days (days left over after whole weeks) from Republic Day 1996 to Independence Day 2000; the weekday moves forward by that many days. An ordinary year gives 1 odd day, and a stretch of 12 months that contains a 29 February gives 2.
From 26 January 1996 to 26 January 2000:
26 January 1996 to 26 January 1997: contains 29 February 1996, so 366 days, 2 odd days
The next three years (to 1998, 1999 and 2000): 365 days each, 1 odd day each, 3 odd days (29 February 2000 comes after 26 January 2000)
Total 5 odd days: Friday + 5 = Wednesday, 26 January 2000
From 26 January 2000 to 15 August 2000:
Rest of January: 5 days; February: 29 days (2000 is a leap year, being divisible by 400)
March to July: \(31+30+31+30+31=153\) days; August: 15 days
Total \(5+29+153+15=202\) days \(=28\) weeks + 6 odd days
Wednesday + 6 = Tuesday