Pooja celebrated her birthday on a Wednesday in 2013. In which year will she next celebrate her birthday on a Wednesday?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 2019
A birthday moves one day forward after an ordinary year and two days forward when the year passed contains a 29th February. It falls on Wednesday again when the odd days added up reach 7.
For a birthday from March to December, the 29th February of 2016 comes between the 2015 and 2016 birthdays:
2013 to 2014: 1 odd day, total 1 (Thursday)
2014 to 2015: 1 odd day, total 2 (Friday)
2015 to 2016: 2 odd days, total 4 (Sunday)
2016 to 2017: 1 odd day, total 5 (Monday)
2017 to 2018: 1 odd day, total 6 (Tuesday)
2018 to 2019: 1 odd day, total 7 (Wednesday)
For a birthday in January or February, the extra day comes one step later (2016 to 2017) instead, but the totals for 2018 and 2019 are still 6 and 7. So in either case the next Wednesday birthday is in 2019.