Question

Gunjan was born on 26 February 2016, and the day was Monday. How many birthdays of Gunjan will fall on Monday in the year 2029?

Hint:

For birthday and calendar problems: \begin{itemize} \item Identify leap years carefully, \item Normal year shifts the weekday by 1, \item Leap year shifts the weekday by 2. \end{itemize}

Answer 1

Step 1: Gunjan was born on 26 February 2016, which was a Monday. The year 2016 is a leap year.
Step 2: In a normal year, the day of the week shifts by 1 day, and in a leap year, it shifts by 2 days.
Step 3: Between 2016 and 2029, there are multiple leap years (2020, 2024, 2028), causing additional shifts in weekdays.
Step 4: Due to these cumulative shifts, Gunjan’s birthday (26 February) falls on Monday twice by the year 2029.
Step 5: Hence, the total number of birthdays falling on Monday is 2.