Rahul celebrated his birthday on a Saturday in 1989. In which year wi…

The correct answer is Option (2) → 1995

A birthday moves one day forward after an ordinary year and two days forward when the year passed contains a 29^th February. It falls on Saturday again when the odd days added up reach 7.

For a birthday from March to December, the 29^th February of 1992 comes between the 1991 and 1992 birthdays:

• 1989 to 1990: 1 odd day, total 1 (Sunday)

• 1990 to 1991: 1 odd day, total 2 (Monday)

• 1991 to 1992: 2 odd days, total 4 (Wednesday)

• 1992 to 1993: 1 odd day, total 5 (Thursday)

• 1993 to 1994: 1 odd day, total 6 (Friday)

• 1994 to 1995: 1 odd day, total 7 (Saturday)

For a birthday in January or February, the extra day comes one step later (1992 to 1993) instead, but the totals for 1994 and 1995 are still 6 and 7. So in either case the next Saturday birthday is in 1995.