Question

Which year subsequent to $1984$ had the same calendar as that of the year $1984$ ?

• A. $1989$
• B. $1986$
• C. $1987$
• D. $1988$
• E. $2012$

Answer 1

The correct option is E $2012$

Count the number of odd days from the year 1984 (a leap year) onwards to get the sum equal to 0 odd day.

Year	1984	1985	1986	1987	1988
Odd day	2	1	1	1	2

Sum of days = 2 + 1 + 1 + 1 + 2 = 7 days = 0 odd days
So ,calendar for the year 1989 should be same as that of 1984 but the year 1989 is a non-leap year and 1984 is a leap year.
So, calendar of the years 1986, 1987, 1988 and 1989 is not same as that of 1984.
Therefore, the calendar of the remaining leap year 2012 must be same as that of 1984.
Hence, option (E) is the correct answer.